Design of switched linear control systems based on Youla parameterization with average dwell time

作     者：Xie, Wei 

作者机构：South China Univ Technol Coll Automat Sci & Technol Guangzhou 510641 Guangdong Peoples R China Guangdong Dowstone Technol Co Ltd Jiangmen Peoples R China 

出 版 物：《INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE》 (国际系统科学杂志)

年 卷 期：2019年第50卷第1期

页      面：203-215页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：YangFan Innovative & Entepreneurial Research Team Project of Guangdong Province [2016 YT03G125] National Nature Science Foundation of China Natural Science Foundation of Guangdong Province [2017A030313385, 2018A030310371] Science and Technology planning Project of Guangdong Province [2017B090 914001, 2017A040403064, 2017B090901040, 2017B030306017, 2017A040405023] Innovative Research Team Project of Jiangmen [2017TD03] 

主　　题：Observer-based controller Youla parameterization switching control average dwell time 

摘      要：A two-steps method of designing switched linear systems is presented with the parameterization of globally uniformly asymptotically stabilising controllers with average dwell time (ADT). First, an observer-based switching controller design is given for a class of switched linear system. Based on the construction of observer-based controller, conceptions of doubly coprime factorization and Youla parameterization of LTI systems are extended to switched linear systems with respect to globally uniformly asymptotical stability (GUAS) using a state-space expression. Second, the parameterization of closed-loop systems, which are affine with any globally uniformly asymptotically stable -parameter, is then described. This description enables the application of the -- parameter approach to a variety of switched linear control-system designs. The control construction provides us a two-steps process design procedure. Above all, based on the Schur complementary lemma and controller variable elimination method, a systematic weighted L2 performance strategy is focused on and a design scheme of to obtain weighted L2-gain performance is clarified. Finally, a numerical example is given to show the validity and potential of the developed results.