Adaptive output-feedback control for switched stochastic uncertain nonlinear systems with time-varying delay. (April 2018)

• Record Type: Journal Article
• Authors: Song, Zhibao; Zhai, Junyong
• Is Part Of: ISA transactions. Volume 75(2018)
• Page Start: 15
• Page End: 24
• Publication Date: 2018-04
• Subjects: Switched stochastic nonlinear systems -- Output-feedback -- Adaptive control -- Uncertain output function -- Time-varying delay; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2018.02.017
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: 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. Highlights: Compared with y = z 1 in [25, 28 ], z 1 cannot be precisely estimated by y owing to uncertain function y = h ( z 1 ) . Particularly, y = β z 1 in Ref. [32 ] is a special case of system(1) with b 1 = b 2 = ⋯ = b n = 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.