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Output feedback stabilization for planar switched nonlinear systems with asymmetric output constraints
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-05-01 , DOI: 10.1016/j.nahs.2020.101005
Xueling Li , Xiangze Lin , Yun Zou

Abstract In this paper, smooth output feedback controllers are presented to stabilize a class of planar switched nonlinear systems with asymmetric output constraints (AOCs). A new common barrier Lyapunov function (CBLF) is developed to prevent the switched system from violating AOCs. Combining the adding a power integrator technique (APIT) and the CBLF, state feedback controllers are designed. Then, reduced-order nonlinear observers are constructed and smooth output feedback controllers are proposed to globally stabilize planar switched nonlinear systems under arbitrary switchings. Meanwhile, the system output meets the prescribed AOCs during operation. The method proposed in this paper is a unified tool because it works not only for switched nonlinear systems with asymmetric or symmetric output constrains but also for those without output constraints. Simulations are presented to verify the proposed method.

中文翻译:

具有非对称输出约束的平面切换非线性系统的输出反馈稳定性

摘要 本文提出了平滑输出反馈控制器来稳定一类具有非对称输出约束(AOC)的平面切换非线性系统。开发了一种新的公共势垒李雅普诺夫函数 (CBLF) 以防止切换系统违反 AOC。结合添加功率积分器技术(APIT)和CBLF,设计了状态反馈控制器。然后,构造降阶非线性观测器并提出平滑输出反馈控制器以在任意切换下全局稳定平面切换非线性系统。同时,系统输出在运行期间满足规定的AOC。本文提出的方法是一种统一的工具,因为它不仅适用于具有非对称或对称输出约束的切换非线性系统,而且适用于没有输出约束的非线性系统。提出了仿真来验证所提出的方法。
更新日期:2021-05-01
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