Adaptive output-feedback control for switched stochastic uncertain nonlinear systems with time-varying delay

• Published in: ISA transactions Vol. 75; pp. 15 - 24
• Main Authors: Song, Zhibao, Zhai, Junyong
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.04.2018
• Subjects: Adaptive control; Output-feedback; Switched stochastic nonlinear systems; Time-varying delay; Uncertain output function; Uncertain output function; Switched stochastic nonlinear systems; Output-feedback; Time-varying delay; Adaptive control
• ISSN: 0019-0578; 1879-2022
• DOI: 10.1016/j.isatra.2018.02.017

This paper addresses the problem of adaptive output-feedback control for a class of switched stochastic time-delay nonlinear systems with uncertain output function, where both the control coefficients and time-varying delay are unknown. The drift and diffusion terms are subject to unknown homogeneous growth condition. By virtue of adding a power integrator technique, an adaptive output-feedback controller is designed to render that the closed-loop system is bounded in probability, and the state of switched stochastic nonlinear system can be globally regulated to the origin almost surely. A numerical example is provided to demonstrate the validity of the proposed control method. •Compared with y=z1 in [25,28], z1 cannot be precisely estimated by y owing to uncertain function y=h(z1). Particularly, y=βz1 in Ref. [32] is a special case of system (1) with b1=b2=⋯=bn=1.•Distinct from Ref. [33], a new adaptive output-feedback controller is designed under a weak situation that the nonlinearities satisfy unknown homogeneous growth condition.•Our results extend the existing global stabilization results for non-switched stochastic systems without time delay to switched stochastic time-delay nonlinear systems.