Adaptive Performance Control for Input Constrained MIMO Nonlinear Systems

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Abstract
In this work, we propose an approximation-free adaptive performance control scheme for unknown high-relative degree, multi-input–multioutput (MIMO) nonlinear systems with saturation on the control input signal. We introduce a novel reconciling adaptive modification of the predefined performance specifications based on the input constraints of the controlled plant, providing the best-feasible output performance. The automatic gain tuning in combination with the simplicity of the proposed controller enhance its robustness and enable its easy deployment in practical scenarios. Notably, the introduced control methodology ensures the necessary compromise between input-output constraints on a semi-global sense for ISS systems. However, the stability attributes for general nonlinear systems are inevitably limited to compact domains due to the inherent conflict between performance demand and actuation capability. In this context, we provide a sufficient closed-loop stability criterion through Lyapunov analysis. Finally, illustrative simulation studies and experimental results clarify and verify the efficacy of the proposed controller.
Funding Information
  • Hellenic Foundation for Research and Innovation (H.F.R.I.) under the second call for research projects to support postdoctoral researchers (HFRI-PD19-370)
  • University Research Council, Aga Khan University

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