A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms

Shang Shi, Huifang Min, Yinlong Hu, Yonghui Sun and Bing Wang

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: In this paper, a novel second-order sliding mode (SOSM) controller is proposed for a general class of uncertain nonlinear systems in the presence of mismatched terms. The proposed SOSM controller is based on a hybrid scheme which switches between two different controllers. The former fixed-time attractive controller can drive the sliding variables into a closed compact set of the origin in a time that do not depend on system initial values. The latter finite-time controller can drive the sliding variables to zero. Strict Lyapunov analysis show that the controlled system under the proposed hybrid controller can guarantee the globally fixed-time stability of the closed-loop system. A simulation example under different initial values is given to show the effectiveness of the theoretical results.

Keywords: Hybrid scheme; Sliding mode control; Second-order sliding mode; Fixed-time control; Mismatched term (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304690

DOI: 10.1016/j.amc.2020.125511

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