Robust H∞ output feedback control for polynomial discrete-time systems

Saat, S. and Sakhtivel, R. and Hussin, F.A. and Sedek, M. (2025) Robust H∞ output feedback control for polynomial discrete-time systems. Journal of the Franklin Institute, 362 (1). ISSN 00160032

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Abstract

This paper aims to design a robust output feedback controller with H∞ performance for polynomial discrete-time systems (PDTS). This is due to the lack of research available on PDTS’ output feedback control especially when uncertainty is considered in the system. To be specific, the norm-bounded uncertainties are considered instead of polytopic uncertainties and then a so-called ‘scaled’ system is established to relate the robust H∞ and the nonlinear H∞ output feedback control problem. The integrator approach is introduced to overcome the nonconvexity issue when the polynomial Lyapunov function is selected. The controller is obtained by solving the sufficient conditions which are formulated in Polynomial Matrix Inequalities (PMIs) which is then converted into Sum of Squares (SOS) form. Semidefinite Programming (SDP) is used to obtain the results. Finally, the efficacy of the method is shown through numerical examples. © 2024 The Franklin Institute

Item Type: Article
Impact Factor: Cited by: 1
Uncontrolled Keywords: Adaptive control systems; Feedback control; Nonlinear feedback; Polynomial approximation; Robust control; Robustness (control systems); Discrete - time systems; H ∞ performance; Integrator method; Optimization approach; Output feedback controls; Polynomial discrete-time system; Robust output feedback control; Robust output feedbacks; Sum of square optimization approach; Sums of squares optimization; Discrete time control systems
Depositing User: Mr Ahmad Suhairi Mohamed Lazim
Date Deposited: 08 Jul 2025 16:37
Last Modified: 08 Jul 2025 16:37
URI: http://scholars.utp.edu.my/id/eprint/38933

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