Adaptive TD control of full-state-constrained nonlinear stochastic switched systems

Yanli Liu, Runzhi Wang and Li-Ying Hao

Applied Mathematics and Computation, 2022, vol. 427, issue C

Abstract: Without the need of constructing piecewise Barrier Lyapunov functions (BLFs), an innovative low-computation adaptive control strategy is developed to unfasten the asymmetric full state constraints for nonlinear stochastic switched systems by incorporating a series of new-style coordinate transformations into the adaptive backstepping design procedure. Via the incorporation of new-style coordinate transformations, the constrained tracking control can be carried out directly without the transformation from constrained systems to new systems. Then, to tackle the “differential explosion” problem caused by repeated derivative of virtual controllers, an innovative tracking differentiator (TD) technology is introduced into each step of design process to improve the tracking accuracy. Furthermore, the resulting closed-loop system proves to be stable, meanwhile, all signals are bounded in probability. Simulations with comparisons through Norrbin nonlinear systems is made to confirm the validity.

Keywords: Asymmetric full state constraints; Stochastic switched systems; New coordinate transformation; Tracking differentiator (TD); Tracking control (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002193

DOI: 10.1016/j.amc.2022.127165

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