Milan Vrdoljak
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Milan Vrdoljak has a total of 25 co-authors. Here are the top co-authors by number of shared publications:
- Manfred Hajek
Technical University of Munich, 85748 Munich, Germany
3 shared publications - Zdravko Terze
University of Zagreb
3 shared publications - Marijan Andrić
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, 10002 Zagreb, Croatia
2 shared publications - Omkar Halbe
Technical University of Munich, 85748 Garching, Germany
2 shared publications - Dario Zlatar
University of Zagreb
1 shared publication Dubravko Matijasˇevic´
University of Zagreb, Zagreb, Croatia
1 shared publication
Latest Publications
- Open Access
Low-Cost Strain-Gauge Force-Sensing Sidestick for 6-DoF Flight Simulation: Design and Human-in-the-Loop Evaluation
Modern fly-by-wire (FBW) aircraft demand high-fidelity simulation systems for research and training, yet existing force-sensing solutions are often prohibitively expensive. This study presents the design, development, and validation of a low-cost, reconfigurable force-sensing sidestick. The system utilizes four strain-gauge load cells to capture pure pilot force inputs, integrated with a 6-DoF non-linear flight model. To evaluate its performance, a pitch-angle tracking task was conducted with 16 participants (pilots and non-pilots). Objective metrics revealed that the control strategy was a primary determinant of performance. Participants employing a proactive feedforward control strategy exhibited roughly an order of magnitude lower tracking-error variance than those relying on reactive corrections. Subjective assessments using the Cooper-Harper scale and NASA-TLX corroborated the objective data, confirming the sidestick’s ability to differentiate control techniques. This work demonstrates an open-source platform that makes high-fidelity FBW simulation accessible for academic research, pilot training, and human factors analysis at a fraction of the cost of commercial systems.
Open AccessLow-Cost Strain-Gauge Force-Sensing Sidestick for 6-DoF Flight Simulation: Design and Human-in-the-Loop Evaluation
Modern fly-by-wire (FBW) aircraft demand high-fidelity simulation systems for research and training, yet existing force-sensing solutions are often prohibitively expensive. This study presents the design, development, and validation of a low-cost, reconfigurable force-sensing sidestick. The system utilizes four strain-gauge load cells to capture pure pilot force inputs, integrated with a 6-DoF non-linear flight model. To evaluate its performance, a pitch-angle tracking task was conducted with 16 participants (pilots and non-pilots). Objective metrics revealed that the control strategy was a primary determinant of performance. Participants employing a proactive feedforward control strategy exhibited roughly an order of magnitude lower tracking-error variance than those relying on reactive corrections. Subjective assessments using the Cooper-Harper scale and NASA-TLX corroborated the objective data, confirming the sidestick’s ability to differentiate control techniques. This work demonstrates an open-source platform that makes high-fidelity FBW simulation accessible for academic research, pilot training, and human factors analysis at a fraction of the cost of commercial systems.
- Open Access
Angle-of-Attack Estimation for General Aviation Aircraft
The angle of attack is one of the most important flight parameters. In the framework of the present study, a flight data recording method was designed to analyze the Valasek angle-of-attack estimation method and investigate its applicability for general aviation aircraft. This was performed using two devices characterized by substantially different characteristics. The test flight, and the ground test, i.e., a flight simulator experiment, were conducted. Two flight regimes were analyzed: (a) steady climb and descent with low values of angle of attack, (b) approach to stall with idle power with an increase of the angle of attack to the critical value. A satisfactory angle of attack estimate was obtained for the steady climb and descent regime, while the approach to stall estimate was less accurate but still indicative and considered useful for the pilot. The results indicate that less expensive synthetic sensors may provide acceptable results compared to high-quality certified equipment. A proposed modification of the estimation method enables simplification of the required equipment, while offering important information to the pilot.
Open AccessAngle-of-Attack Estimation for General Aviation Aircraft
The angle of attack is one of the most important flight parameters. In the framework of the present study, a flight data recording method was designed to analyze the Valasek angle-of-attack estimation method and investigate its applicability for general aviation aircraft. This was performed using two devices characterized by substantially different characteristics. The test flight, and the ground test, i.e., a flight simulator experiment, were conducted. Two flight regimes were analyzed: (a) steady climb and descent with low values of angle of attack, (b) approach to stall with idle power with an increase of the angle of attack to the critical value. A satisfactory angle of attack estimate was obtained for the steady climb and descent regime, while the approach to stall estimate was less accurate but still indicative and considered useful for the pilot. The results indicate that less expensive synthetic sensors may provide acceptable results compared to high-quality certified equipment. A proposed modification of the estimation method enables simplification of the required equipment, while offering important information to the pilot.
- 23 August 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Aerospace and Electronic Systems Magazine
- Vol. 38 (5) , 18-33
Flight Guidance Concepts to Mitigate Flight Control System Degradation in Urban Air Mobility Scenarios
Continued safe flight under all foreseeable scenarios will be crucial to assure airworthiness and build trust in future vertical takeoff and landing (VTOL) urban air mobility (UAM) concepts. Successful pilot intervention will be especially important for handling emergency procedures. This paper demonstrates the use of human-centric flight guidance concepts to mitigate the effects of non-catastrophic failures in future VTOL UAM aircraft. Specifically, a single failure in the lateral steering function of an automatic flight control system is considered. A new waypoint guidance law is proposed to generate the required roll command to manually steer the aircraft toward a predefined safe landing zone. Two display concepts are proposed to aid the manual execution of the roll steering command: a head-down display (HDD), and a head-mounted display (HMD). The guidance law and the display concepts were integrated into a high-fidelity, wide field-of-view rotorcraft simulation environment. Human-in-the-loop experiments were performed with non-pilot test subjects. The effectiveness of the guidance law and display concepts along with the associated piloting performance and human factor impacts were assessed. The results indicated that all test subjects were able to reach a close vicinity of the final waypoint. The HMD induced lower workload whereas the HDD resulted in better tracking performance.
- 23 August 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Aerospace and Electronic Systems Magazine
- Vol. 38 (5) , 18-33
Flight Guidance Concepts to Mitigate Flight Control System Degradation in Urban Air Mobility Scenarios
Continued safe flight under all foreseeable scenarios will be crucial to assure airworthiness and build trust in future vertical takeoff and landing (VTOL) urban air mobility (UAM) concepts. Successful pilot intervention will be especially important for handling emergency procedures. This paper demonstrates the use of human-centric flight guidance concepts to mitigate the effects of non-catastrophic failures in future VTOL UAM aircraft. Specifically, a single failure in the lateral steering function of an automatic flight control system is considered. A new waypoint guidance law is proposed to generate the required roll command to manually steer the aircraft toward a predefined safe landing zone. Two display concepts are proposed to aid the manual execution of the roll steering command: a head-down display (HDD), and a head-mounted display (HMD). The guidance law and the display concepts were integrated into a high-fidelity, wide field-of-view rotorcraft simulation environment. Human-in-the-loop experiments were performed with non-pilot test subjects. The effectiveness of the guidance law and display concepts along with the associated piloting performance and human factor impacts were assessed. The results indicated that all test subjects were able to reach a close vicinity of the final waypoint. The HMD induced lower workload whereas the HDD resulted in better tracking performance.
- 3 January 2022
- Published by American Institute of Aeronautics and Astronautics (AIAA)
Evaluation of a Pilot Assistance System during Simulated Helicopter Shipboard Operations
View Video Presentation: https://doi.org/10.2514/6.2022-0513.vid The present work reports the design, integration, and piloted evaluation of a visual and control augmented pilot assistance system (PAS) for helicopter near-ship operations in degraded visual environments. The PAS consists of an automatic cluttered-scene-linked 2D and 3D symbology concept, visualized on a helmet-mounted display (HMD). The design was applied by combining operational needs, standard naval requirements, and procedures to support the pilot’s direct perception of critical helicopter operations within the limitations of safety and performance constraints, such as a degraded visual range and high ship motions. An additional advanced flight control mode, optimized together with maritime test pilots, focused on rendering pilots’ control inputs more precisely, while simultaneously decreasing subjective workload. The present approach of the PAS combines a precise and dynamic shiprelative approach and landing enhanced visual augmentation with scene-linked visual clutter modes designed for an HMD with see-through capabilities. For evaluation, traditional subjective workload, visual cues, and handling-qualities ratings were supplemented with analysis techniques, including the approach profile and pilot control activity observations. The results of two simulated flight test campaigns together with 10 maritime test and fleet pilots from the armed forces, industry, and public authorities, completing a total of over 120 simulated flights show that subjective workload and the corresponding handling-qualities ratings kept almost level 1, even when degraded visual environment (DVE) conditions increased. Subjective assessments indicate that most of the pilots preferred higher degrees of helicopter stabilization during the helicopter ship approach and landing maneuvers. Timeseries and frequency domain analysis of pilot control inputs and head motions offer the capability to associate subjective ratings of pilot workload and handling qualities with control inputs observations.
- 3 January 2022
- Published by American Institute of Aeronautics and Astronautics (AIAA)
Evaluation of a Pilot Assistance System during Simulated Helicopter Shipboard Operations
View Video Presentation: https://doi.org/10.2514/6.2022-0513.vid The present work reports the design, integration, and piloted evaluation of a visual and control augmented pilot assistance system (PAS) for helicopter near-ship operations in degraded visual environments. The PAS consists of an automatic cluttered-scene-linked 2D and 3D symbology concept, visualized on a helmet-mounted display (HMD). The design was applied by combining operational needs, standard naval requirements, and procedures to support the pilot’s direct perception of critical helicopter operations within the limitations of safety and performance constraints, such as a degraded visual range and high ship motions. An additional advanced flight control mode, optimized together with maritime test pilots, focused on rendering pilots’ control inputs more precisely, while simultaneously decreasing subjective workload. The present approach of the PAS combines a precise and dynamic shiprelative approach and landing enhanced visual augmentation with scene-linked visual clutter modes designed for an HMD with see-through capabilities. For evaluation, traditional subjective workload, visual cues, and handling-qualities ratings were supplemented with analysis techniques, including the approach profile and pilot control activity observations. The results of two simulated flight test campaigns together with 10 maritime test and fleet pilots from the armed forces, industry, and public authorities, completing a total of over 120 simulated flights show that subjective workload and the corresponding handling-qualities ratings kept almost level 1, even when degraded visual environment (DVE) conditions increased. Subjective assessments indicate that most of the pilots preferred higher degrees of helicopter stabilization during the helicopter ship approach and landing maneuvers. Timeseries and frequency domain analysis of pilot control inputs and head motions offer the capability to associate subjective ratings of pilot workload and handling qualities with control inputs observations.
- Open Access
The Effect of Manufacturing Quality on Rocket Precision
The effect of manufacturing quality on rocket impact point dispersion is analyzed. The approach presented here applies to any type of rocket. Here, manufacturing quality is demonstrated for the unguided rocket, and by simulating four typical manufacturing errors: erroneously manufactured warhead, misalignment between the warhead and engine chamber, asymmetrically installed propellant, and error in nozzle manufacturing. A new methodology is proposed, which combines a 3D CAD model of the asymmetrical projectile (due to manufacturing errors) and the improved Six-degrees-of-freedom (6DOF) model of its flight into a comprehensive Monte-Carlo simulation. In that way, the rocket trajectory dispersion is correlated directly to the imperfection of the manufacturing process. Three quality levels are simulated (low, standard, and high quality), and each of the analyzed manufacturing errors depends on the chosen quality. The results show how important it is to impose the highest quality on nozzle manufacturing, and if this condition is not met, reveal if strict tolerances applied to other steps of the manufacturing process can compensate for the consequential drop of precision.
Open AccessThe Effect of Manufacturing Quality on Rocket Precision
The effect of manufacturing quality on rocket impact point dispersion is analyzed. The approach presented here applies to any type of rocket. Here, manufacturing quality is demonstrated for the unguided rocket, and by simulating four typical manufacturing errors: erroneously manufactured warhead, misalignment between the warhead and engine chamber, asymmetrically installed propellant, and error in nozzle manufacturing. A new methodology is proposed, which combines a 3D CAD model of the asymmetrical projectile (due to manufacturing errors) and the improved Six-degrees-of-freedom (6DOF) model of its flight into a comprehensive Monte-Carlo simulation. In that way, the rocket trajectory dispersion is correlated directly to the imperfection of the manufacturing process. Three quality levels are simulated (low, standard, and high quality), and each of the analyzed manufacturing errors depends on the chosen quality. The results show how important it is to impose the highest quality on nozzle manufacturing, and if this condition is not met, reveal if strict tolerances applied to other steps of the manufacturing process can compensate for the consequential drop of precision.
- 23 September 2020
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-6
Design and Human-in-the-loop Simulation of Radio Controlled Fixed Wing Aircraft
- 23 September 2020
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-6
Design and Human-in-the-loop Simulation of Radio Controlled Fixed Wing Aircraft
- 1 July 2019
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Aircraft
- Vol. 56 (4) , 1367-1375
Determination of Model Structure from Flight Test with Generalized Additive Models
- 1 July 2019
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Aircraft
- Vol. 56 (4) , 1367-1375
Determination of Model Structure from Flight Test with Generalized Additive Models
- 15 December 2017
- Published by Springer Nature
- p. 225-239
Helicopter Pilot Model for Pitch Attitude Tracking Task
- 15 December 2017
- Published by Springer Nature
- p. 225-239
Helicopter Pilot Model for Pitch Attitude Tracking Task
- 2 December 2016
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 12 (2) , 021009
Lie Group Forward Dynamics of Fixed-Wing Aircraft With Singularity-Free Attitude Reconstruction on SO(3)
This paper proposes an approach to formulation and integration of the governing equations for aircraft flight simulation that is based on a Lie group setting, and leads to a nonsingular coordinate-free numerical integration. Dynamical model of an aircraft is formulated in Lie group state space form and integrated by ordinary-differential-equation (ODE)-on-Lie groups Munthe-Kaas (MK) type of integrator. By following such an approach, it is assured that kinematic singularities, which are unavoidable if a three-angles-based rotation parameterization is applied for the whole 3D rotation domain, do not occur in the proposed noncoordinate formulation form. Moreover, in contrast to the quaternion rotation parameterization that imposes additional algebraic constraint and leads to integration of differential-algebraic equations (DAEs) (with necessary algebraic-equation-violation stabilization step), the proposed formulation leads to a nonredundant ODE integration in minimal form. To this end, this approach combines benefits of both traditional approaches to aircraft simulation (i.e., three angles parameterization and quaternions), while at the same time it avoids related drawbacks of the classical models. Besides solving kinematic singularity problem without introducing DAEs, the proposed formulation also exhibits numerical advantages in terms of better accuracy when longer integration steps are applied during simulation and when aircraft motion pattern comprises steady rotational component of its 3D motion. This is due to the fact that a Lie group setting and applied MK integrator determine vehicle orientation on the basis of integration of local (tangent, nonlinear) kinematical differential equations (KDEs) that model process of 3D rotations (i.e., vehicle attitude reconstruction on nonlinear manifold SO(3)) more accurately than “global” KDEs of the classical formulations (that are linear in differential equations part in the case of standard quaternion models).
- 2 December 2016
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 12 (2) , 021009
Lie Group Forward Dynamics of Fixed-Wing Aircraft With Singularity-Free Attitude Reconstruction on SO(3)
This paper proposes an approach to formulation and integration of the governing equations for aircraft flight simulation that is based on a Lie group setting, and leads to a nonsingular coordinate-free numerical integration. Dynamical model of an aircraft is formulated in Lie group state space form and integrated by ordinary-differential-equation (ODE)-on-Lie groups Munthe-Kaas (MK) type of integrator. By following such an approach, it is assured that kinematic singularities, which are unavoidable if a three-angles-based rotation parameterization is applied for the whole 3D rotation domain, do not occur in the proposed noncoordinate formulation form. Moreover, in contrast to the quaternion rotation parameterization that imposes additional algebraic constraint and leads to integration of differential-algebraic equations (DAEs) (with necessary algebraic-equation-violation stabilization step), the proposed formulation leads to a nonredundant ODE integration in minimal form. To this end, this approach combines benefits of both traditional approaches to aircraft simulation (i.e., three angles parameterization and quaternions), while at the same time it avoids related drawbacks of the classical models. Besides solving kinematic singularity problem without introducing DAEs, the proposed formulation also exhibits numerical advantages in terms of better accuracy when longer integration steps are applied during simulation and when aircraft motion pattern comprises steady rotational component of its 3D motion. This is due to the fact that a Lie group setting and applied MK integrator determine vehicle orientation on the basis of integration of local (tangent, nonlinear) kinematical differential equations (KDEs) that model process of 3D rotations (i.e., vehicle attitude reconstruction on nonlinear manifold SO(3)) more accurately than “global” KDEs of the classical formulations (that are linear in differential equations part in the case of standard quaternion models).
- 1 July 2015
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 10 (4) , 041009
Composed Fluid–Structure Interaction Interface for Horizontal Axis Wind Turbine Rotor
In this paper, we propose a technique for high-fidelity fluid–structure interaction (FSI) spatial interface reconstruction of a horizontal axis wind turbine (HAWT) rotor model composed of an elastic blade mounted on a rigid hub. The technique is aimed at enabling re-usage of existing blade finite element method (FEM) models, now with high-fidelity fluid subdomain methods relying on boundary-fitted mesh. The technique is based on the partition of unity (PU) method and it enables fluid subdomain FSI interface mesh of different components to be smoothly connected. In this paper, we use it to connect a beam FEM model to a rigid body, but the proposed technique is by no means restricted to any specific choice of numerical models for the structure components or methods of their surface recoveries. To stress-test robustness of the connection technique, we recover elastic blade surface from collinear mesh and remark on repercussions of such a choice. For the HAWT blade recovery method itself, we use generalized Hermite radial basis function interpolation (GHRBFI) which utilizes the interpolation of small rotations in addition to displacement data. Finally, for the composed structure we discuss consistent and conservative approaches to FSI spatial interface formulations.
- 1 July 2015
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 10 (4) , 041009
Composed Fluid–Structure Interaction Interface for Horizontal Axis Wind Turbine Rotor
In this paper, we propose a technique for high-fidelity fluid–structure interaction (FSI) spatial interface reconstruction of a horizontal axis wind turbine (HAWT) rotor model composed of an elastic blade mounted on a rigid hub. The technique is aimed at enabling re-usage of existing blade finite element method (FEM) models, now with high-fidelity fluid subdomain methods relying on boundary-fitted mesh. The technique is based on the partition of unity (PU) method and it enables fluid subdomain FSI interface mesh of different components to be smoothly connected. In this paper, we use it to connect a beam FEM model to a rigid body, but the proposed technique is by no means restricted to any specific choice of numerical models for the structure components or methods of their surface recoveries. To stress-test robustness of the connection technique, we recover elastic blade surface from collinear mesh and remark on repercussions of such a choice. For the HAWT blade recovery method itself, we use generalized Hermite radial basis function interpolation (GHRBFI) which utilizes the interpolation of small rotations in addition to displacement data. Finally, for the composed structure we discuss consistent and conservative approaches to FSI spatial interface formulations.