Abstract
As we all know, it is very difficult to design the controller and prove the stability for switched nonlinear systems. Therefore, the engineering application of switching system and the development of switching control theory are limited. In order to solve the control problem for constrained switched system, an adaptive output feedback control scheme based on backstepping technology is studied in this paper for switched non-strict feedback nonlinear systems with asymmetric time-varying full state constraints and unknown external disturbances. A switched state observer based on fuzzy logic system is designed to estimate the unmeasurable states of the uncertain switched system. Asymmetric time-varying barrier Lyapunov functions are adopted to keep the full states of the system satisfying their asymmetric time-varying constraints. A variable separation approach is used to address the algebraic loop problem of non-strict feedback structure. The stability of the closed-loop system and the semi-globally uniformly ultimately bounds of the signals are proved by the Lyapunov method and average dwell time theory. Finally, simulation results are given to show the effectiveness of the proposed control scheme. Different from the existing results, this paper is the first to investigate adaptive control for switched non-strict feedback systems with full state time-varying constraints, unmeasurable states and unknown disturbances, which is a more general case in real systems.
Highlights
Switched systems are a class of important and typical hybrid systems that can be described by subsystems and the switching law between them [1]–[6]
In [4], an adaptive neural control based on dwell time theory was investigated for switched systems with switching jumps and uncertainties
Motivated by the above discussion, this paper investigates adaptive control for switched uncertain nonlinear systems with asymmetric time-varying full state constraints, coupled with unmeasurable states and a non-strict feedback problem
Summary
Switched systems are a class of important and typical hybrid systems that can be described by subsystems and the switching law between them [1]–[6]. Motivated by the above discussion, this paper investigates adaptive control for switched uncertain nonlinear systems with asymmetric time-varying full state constraints, coupled with unmeasurable states and a non-strict feedback problem. This paper proposes a novel adaptive dynamic output feedback tracking control strategy for switched non-strict feedback systems with full state time-varying constraints and external disturbances. The main contributions and innovations are as follows: 1) Different from the existing results, this paper is the first to investigate adaptive control for switched non-strict feedback systems with full state time-varying constraints, unmeasurable states and unknown disturbances, which is a more general case in real systems. 3) This proposed adaptive control scheme does not need n-order differentiable and bounded conditions of the input signals and a monotonically increasing condition of unknown functions These strict assumptions are common in the existing references [33], [34]. This control scheme conforms to engineering practice and has a simple algorithm and requires a small number of calculations
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