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Su, Lei; Jin, Ling; Wang, Jing; Shen, Hao

Adaptive predefined-time quantized tracking control for switched nonlinear systems using command-filter backstepping. (English) Zbl 07900088

Int. J. Robust Nonlinear Control 34, No. 13, 9040-9054 (2024).
Summary: This article investigates the command-filter-based improved predefined-time tracking control problem for a class of switched nonlinear systems with the quantized input signal. Essentially different from most tracking control works of switched nonlinear systems under input quantization, the nonlinear decomposition method is employed to tackle the obstacles from the predefined-time controller design. Subsequently, to achieve more faster convergence times, an improved predefined-time lemma is designed, and for subsequent simulation work, the designed lemma is coupled with a quantizer. Furthermore, to tackle the problem of complexity explosion encountered during the iterative process of backstepping, the command filter is adopted. Finally, two examples are employed to demonstrate the effectiveness of the established results.
© 2024 John Wiley & Sons Ltd.

MSC:

93C40 Adaptive control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C10 Nonlinear systems in control theory
93E11 Filtering in stochastic control theory

Keywords:

adaptive quantized control; backstepping technique; command filter; predefined-time tracking control; switched nonlinear systems
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References:

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