Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation

Jun Huang, Lin Yang and Hieu Trinh

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: This article presents a saturation controller design method for a type of nonlinear time-delay systems. Different from the current works, the nonlinear systems considered herein satisfy an incremental quadratic constraint, which is a more general nonlinearity. Firstly, for the constraint in the actuator, the convex set theory is employed to transform the saturated feedback law into a parameterized linear convex hull set. Next, the convex hull Lyapunov function is constructed to obtain sufficient conditions for exponential stability of the closed-loop system. In addition, by solving an optimization problem, the maximal estimation of domain of attraction is also determined. Finally, numerical examples are provided to verify the proposed method.

Keywords: Saturation controller; Incremental quadratic constraint; Convex hull Lyapunov function (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s009630032100360x

DOI: 10.1016/j.amc.2021.126271

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