Abstract
This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the H∞ performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.
Highlights
Switched systems (SSs) are a class of hybrid systems due to their strong potential applications [1]
It can be viewed from simulations that utilizing the suggested observer-based control method leads to the stable estimates and states of the system with robust performance against the time-delay, parametric uncertainty, and exogenous disturbances
A control technique was presented for nonlinear SSs under time-delay, uncertainties, and asynchronous switching (AS) problems
Summary
Switched systems (SSs) are a class of hybrid systems due to their strong potential applications [1]. The robust H∞ control approach is investigated in [8] to stabilize a discrete-time SS against polytopic uncertainties. The problem of polytopic uncertainties under time-delay condition has been studied in [10,11]. The stabilization of SSs in a discrete-time form is investigated in [15], and the effect of uncertainties and time-delay is analyzed by the use of output feedback control system. The state feedback control system is developed in [16] for discrete-time SSs and the stabilization conditions are acquired. The robust control of nonlinear SSs under unmeasurable states, time-delay, uncertainties, and the AS problem has not been completely studied. Besides the time-delay and asynchronous switching, the parametric uncertainties are considered in this study to ensure the robust stabilization problem. The robustness against time-delay, AS, and uncertainties is analyzed via LMIs and the singular-value decomposition (SVD) approach
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