Stabilization of switched systems with time-varying delay: a state transformation method

被引:3
作者
Liu, Y. [1 ]
Hu, L-S [1 ]
Shi, P. [2 ,3 ,4 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Mawson Lakes, Australia
关键词
switched systems; state transformation; time-varying delay; exponential stability; average dwell-time; linear matrix inequality; SAMPLED-DATA CONTROL; AVERAGE DWELL TIME; LINEAR-SYSTEMS; PREDICTIVE CONTROL; ROBUST-CONTROL; LMI APPROACH; STABILITY; DESIGN;
D O I
10.1177/0959651811399543
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 problems of exponential stability and control design for switched systems with time-varying delay are investigated. Under a class of switching signals counting with average dwell time, a new less conservative stability condition is proposed for the systems. To facilitate controller design for the switched systems with time-varying input delay, a new state transformation method is developed, with which the non-linear term in matrix inequality is removed. The method is also applicable to the existing stability conditions for controller design, while the existing methods may be not able to obtain computational control procedures from the stability conditions. In this paper, the computational algorithms are established for the stability analysis and control synthesis. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed techniques.
引用
收藏
页码:1185 / 1194
页数:10
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