State feedback stabilisation of switched non-linear systems with asymmetric output constraints

被引：9

作者：

Li, Xueling ^{[1
]}

Lin, Xiangze ^{[2
]}

Zou, Yun ^{[3
]}

机构：

[1] China Pharmaceut Univ, Sch Sci, Nanjing 211198, Peoples R China

[2] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Peoples R China

[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 14期

关键词：

feedback; control system synthesis; state feedback; closed loop systems; nonlinear control systems; stability; uncertain systems; asymptotic stability; Lyapunov methods; time-varying systems; linear systems; switched systems asymptotically stable; AOCs; asymmetric output constraints; switched nonlinear systems; state feedback stabilisation problem; simple new common barrier Lyapunov function; smooth state feedback controllers; BARRIER LYAPUNOV FUNCTIONS; FINITE-TIME STABILIZATION; GLOBAL STABILIZATION; TRIANGULAR SYSTEMS; POWER INTEGRATOR; TRACKING CONTROL; LINEAR-SYSTEMS; STABILITY; DESIGN; INPUT;

D O I：

10.1049/iet-cta.2019.1236

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A state feedback stabilisation problem of switched non-linear systems with asymmetric output constraints (AOCs) is investigated in this study by combining a simple new common barrier Lyapunov function and then adding a power integrator technique. Smooth state feedback controllers are designed in a constructive and systematic way to make switched systems asymptotically stable and to prevent switched systems from violating AOCs. The proposed method, which is developed in a unified frame in some sense, works not only for switched systems with asymmetric or symmetric output constraints but also for those without output constraints. Illustrative examples are employed to verify the proposed method in this study.

引用

页码：1837 / 1844

页数：8

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