This chapter presents a new approach to design Gain-Scheduled Static Output Feedback (SOF) controller for constrained NLPV descriptor system, subject to input saturation and exogenous disturbances. Moreover, both state and input constraints are explicitly taken into account in the control design using set-invariance arguments. Within the considered local control context, the new class of Parameter Dependent (PD) nonquadratic Lyapunov functions provides an effective solution to estimate the largest closed-loop Domain of Attraction (DoA), which can be nonconvex, it can be formulated and solved as an optimization problem under strict PDLMI constraints, the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_2$$\end{document} gain performance is used to attenuate the effect of the disturbance signals. Stability analysis and controller design are provided with techniques in order to obtaining less conservative results. The theoretical developments are provided to demonstrate the effectiveness of the proposed approach in reducing the design conservatism through an illustrative example.
Robust Constrained Gain-Scheduled Static Output Feedback Controller for NLPV Descriptor Systems Subject to State and Input Constraints
Studies in Systems, Decision and Control
2023-08-12
18 pages
Article/Chapter (Book)
Electronic Resource
English
Uncertain NLPV descriptor system , Gain-Scheduled SOF control , Nonquadratic Lyapunov function , Input and state constraints , Disturbance signal Engineering , Control, Robotics, Mechatronics , Complexity , Computational Intelligence , Complex Systems , Mathematical Modeling and Industrial Mathematics
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