Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback

被引：2

作者：

Yu, Shaohang ^{[1
]}

Wu, Chengfu ^{[2
]}

Wang, Liang ^{[2
]}

Wu, Jia-Nan ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Automat, Xian 710065, Shaanxi, Peoples R China

[2] Northwestern Polytech Univ, Natl Key Lab Sci & Technol UAV, Xian 710065, Shaanxi, Peoples R China

来源：

IEEE ACCESS | 2019年 / 7卷

关键词：

Time-dependent switched systems; iterative homogeneous polynomial Lyapunov functions; sums of squares; minimum mode-dependent average dwell time; LINEAR-SYSTEMS; CONTROLLERS; DESIGN;

D O I：

10.1109/ACCESS.2019.2933279

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 novel approach is proposed in this paper to design static output feedback controllers for asymptotically stabilizing continuous-time switched linear systems with minimum mode-dependent average dwell time (MMDADT). This approach adopts an iterative algorithm containing the solution of a traversal algorithm function and three optimization functions, the decision variables of which are established by the sum of squares (SOS) of matrix polynomials. The traversal algorithm function takes advantage of a polynomially parameter-bounded condition, allowing us to get the lower-bound of the Homogeneous Polynomial Lyapunov Functions' (HPLFs) derivative. The first optimization function is a non-convex optimization function, which expresses a sufficient condition for stability analysis and computing MMDADT. The second and third optimization functions are both convex optimization functions, which are used to calculate the polynomially mode-dependent output feedback controllers. Two numerical examples are presented in order to show the feasibility of the proposed results.

引用

页码：110812 / 110825

页数：14

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