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Adaptive quantized tracking control for uncertain switched nonstrict‐feedback nonlinear systems with discrete and distributed time‐varying delays

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Summary This paper is concerned with an adaptive tracking problem for a more general class of switched nonstrict-feedback nonlinear time-delay systems in the presence of quantized input. The system structure… Click to show full abstract

Summary This paper is concerned with an adaptive tracking problem for a more general class of switched nonstrict-feedback nonlinear time-delay systems in the presence of quantized input. The system structure in a nonstrict-feedback form, the discrete and distributed time-varying delays, the sector-bounded quantized input, and arbitrary switching behavior are involved in the considered systems. In particular, to overcome the difficulties from the distributed time-varying delays and the sector-bounded quantized input, the mean-value theorem for integrals and some special techniques are exploited respectively. Moreover, by combining the Lyapunov-Razumikhin method, dynamic surface control technique, fuzzy logic systems approximation, and variable separation technique, a quadratic common Lyapunov function is easily built for all subsystems and a common adaptive quantized control scheme containing only 1 adaptive parameter is proposed. It is shown that the tracking error converges to an adjustable neighborhood of the origin whereas all signals of the closed-loop systems are semiglobally uniformly ultimately bounded. Finally, 2 simulation examples are provided to verify the feasibility and effectiveness of the proposed design methodology.

Keywords: varying delays; time varying; control; time; nonstrict feedback; distributed time

Journal Title: International Journal of Robust and Nonlinear Control
Year Published: 2018

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