Shunli Zhao

This paper investigates event‐triggered stabilization for positive linear systems. First, we propose a novel dual‐threshold event‐triggered scheme (ETS) that takes full advantage of the systems' positivity without relying on norm calculations. This scheme dynamically adapts to the varying triggering demands arising from different trends in the state evolution, ensuring prompt and reliable response across all operating conditions. Second, sufficient conditions for the positivity and asymptotic stability of continuous‐time positive systems and discrete‐time positive systems (both with and without time delay) under this scheme are derived separately, and based on these conditions, the corresponding event‐triggered controller is designed. To suppress Zeno behavior in continuous‐time systems, a positive lower bound on the inter‐execution time (IET) is imposed, which guarantees finite event‐triggering density via dwell‐time constraints. Finally, the effectiveness of the proposed framework is validated through two practical applications: a continuous‐time battery management system (for continuous‐time system verification) and a discrete‐time data network transmission model (for discrete‐time system validation with and without time delay).

This paper proposes an innovative adaptive weighted memory event‐triggered scheme (AW‐METS) based on 1‐norm for switched positive systems. In contrast to the previous memory event‐triggered schemes, the static weighted parameter is replaced with an adaptive weighted function. This modification allows the weighted parameter to dynamically adjust according to the system state. As the system state approaches its peak, the number of triggers increases, facilitating rapid stabilization of the system. Conversely, as the system approaches the steady state, the number of triggers decreases, resulting in significant savings in system resources. Additionally, the state feedback controller and output feedback controller are separately designed. By utilizing the matrix decomposition technique, the controller gain matrix can be decomposed into positive and negative components, which can be obtained through linear programming. Finally, a practical example of a circuit system is presented to validate the effectiveness of the proposed scheme.

Network attack detection is a crucial issue in cyber–physical systems. One classical type of network attack is the replay attack. Although the watermarking scheme has proven to be effective in detecting replay attacks, it may confront numerous challenges when applied to process control systems. The watermarking signal, which consists of independent and identically distributed Gaussian noise sequences, responds slowly to industrial process control systems. To address this issue, two novel smooth watermarking methods are proposed. The smooth watermarking signals exhibit low-frequency characteristics, enabling them to effectively handle large inertia processes. The proposed schemes are validated through two simulated examples. These examples indicate that the proposed methods can significantly enhance detection efficiency while minimizing additional control performance loss.

In this paper, a generalized model-reference scheduling (GMRS) scheme is proposed for a networked control system (NCS) with guaranteed performance control and medium access constraint (MAC). The GMRS presented reduces conservatism to some extent, and its performance is improved by adjusting the weighted gain. In addition, two cases of uncertainty existing in the system matrix and control matrix are considered. For the first case, a co-design of guaranteed performance control and the GMRS is studied for the NCS with and without zero-order hold mechanism. For the second case, the uncertainty induced from time delay is considered in the guaranteed performance control and the GMRS co-design. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed co-design schemes.

A robust resilient H-infinity control and MRS codesign is studied in the paper. The problems, such as time-delay, medium access constraint, system disturbance and controller perturbation, are solved by the co-design. An improved MRS scheme is adopted to reduce the conservative property of the MRS scheme. Meanwhile, the effect of the weighted matrix on the performance of the MRS scheme is studied. The performance of the NCS with MRS scheme can be improved furtherly if we choose the proper parameters of the weighted matrix. Finally, a numerical example is used to demonstrate the effectivity of the codesign method proposed in the paper.

The medium access constraint that only permits limit nodes to gain access to the network is a research focus in the field of networked control systems. A co-design of the model reference scheduling and the resilient control with the modulation is proposed in the paper. The co-design scheme can deal with several representative problems in networked control systems, such as time delays from modulation, the medium access constraint and the perturbation of the controller. Finally, the effectivity of the co-design scheme proposed is demonstrated through a numerical example.