Control Design Method for Obtaining Special Performances in Discrete-Time Linear Switched Systems with Time-Varying Delay Based on the Average Dwell-Time Approach

被引:0
作者
Ghavami, Mahsa [1 ]
Sheikholeslam, Farid [1 ]
Ghaisari, Jafar [1 ]
Azarmi, Roohallah [2 ]
机构
[1] Isfahan Univ Technol, Dept Elect & Comp Engn, Esfahan, Iran
[2] Eindhoven Univ Technol, Dept Elect Engn, Elect Syst Grp, Eindhoven, Netherlands
来源
2020 28TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2020年
关键词
Switched positive systems; time-varying delay; general quadratic constraints; bounded peak to peak gain; average dwell-time; linear matrix inequality;
D O I
10.1109/med48518.2020.9182816
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper devotes to propose control design methods imposing general quadratic and bounded peak to peak gain performances on discrete-time linear switched positive systems with time-varying delay. General quadratic constraints are limitations that are modeled as a quadratic matrix to make a relationship between exogenous input and output signals. Moreover, the problem of bounding outputs peak amplitude for bounded disturbance inputs is named bounded peak to peak gain performance. Sufficient conditions are derived for the existence of a set of state feedback controllers guaranteeing the closed-loop switched system with time-varying delay in states not only is positive and globally uniform exponential stable but also has two stated performances for switching signals with an average dwell-time, which is greater than a positive certain constant. By using the Lyapunov-Krasovskii functional theorem, these conditions are formulated in terms of linear matrix inequalities. The quadruple tank system model is employed to illustrate the effectiveness of the proposed method.
引用
收藏
页码:637 / 644
页数:8
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