Comparison of two polynomial approaches in performance analysis for periodic piecewise polynomial systems

被引：15
|
作者：
Xie, Xiaochen [1 ]
Liu, Jason J. R. [1 ]
Fan, Chenchen [1 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 07期
关键词：
STEADY-STATE RESPONSE; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY ANALYSIS; STABILIZATION; MODEL;
D O I：
10.1016/j.jfranklin.2021.02.028
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the theory and effectiveness of two polynomial approaches are compared in the analysis of L 2 - L ? and H ? performance for a type of periodic piecewise polynomial systems, where the time-varying subsystems can be characterized in Bernstein polynomials. Using the Bernstein polynomialbased lemma and the existing lemma concerning the negativity/positivity of matrix polynomial functions, sufficient conditions are established in tractable forms aimed at the global asymptotic stability and performance analysis. Four cases of optimization constraints are considered based on the proposed conditions. The performance indices obtained via the four cases are compared through a numerical example, and the lower conservatism achieved by the proposed Bernstein polynomial approach is demonstrated. ? 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3868 / 3883
页数：16
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