Adaptive stability control for a class of nonlinear multi-parameters uncertain cascade systems

Abstract

Abstract: This paper studies the adaptive state feedback stability control problem for a class of nonlinear multi-parameters uncertain cascade systems that suffer the multi-parametric uncertainty represented by unknown vectors, actuator failure, and full-state constrained conditions. By constructing appropriate barrier Lyapunov function and employing a combination of Backstepping iterative design methodology and adaptive techniques based on projection operators, an adaptive state feedback control design scheme is successfully constructed. The designed controller is proven to guarantee that all the closed-loop system states are bounded, and the original system states not only meet the specified constrained conditions but also asymptotically converge to the origin. The correctness and validity of the obtained theory results are verified by two simulation examples.

Key words: nonlinear cascade system, full-state constraint, actuator failure, adaptive control, asymptotical convergence

CLC Number:

O232

HE Qiu-jin, ZHANG Jian. Adaptive stability control for a class of nonlinear multi-parameters uncertain cascade systems[J]. Journal of Lanzhou University of Technology, 2023, 49(6): 145-153.

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