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Design of high‐order sliding mode controller under asymmetric output constraints
Author(s) -
Mei Keqi,
Ma Li,
Ding Shihong
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5665
Subject(s) - control theory (sociology) , constraint (computer aided design) , controller (irrigation) , lyapunov function , integrator , stability (learning theory) , mode (computer interface) , function (biology) , power (physics) , sliding mode control , computer science , basis (linear algebra) , mathematics , mathematical optimization , control (management) , nonlinear system , computer network , physics , geometry , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , agronomy , biology , operating system
This article is devoted to the design issue of high‐order sliding mode (HOSM) controller subject to asymmetric output constraints. A barrier Lyapunov function (BLF) is first developed to deal with the constraints. Subsequently, by implanting the BLF into the modified adding a power integrator technique, a HOSM control algorithm, which is able to handle the closed‐loop system simultaneously with and without asymmetric output constraints, has been presented. It has been shown on the basis of the rigorous mathematical proof that under the proposed control strategy, the finite‐time stability of the considered system with the asymmetric output constraints is ensured. Meanwhile, the proposed algorithm also satisfies the requirement of the preset asymmetric output constraint. At last, an illustrative example is given to demonstrate the effectiveness of the presented algorithm.