Co-Design of 2-D Event Generator and Sliding Mode Controller for 2-D Roesser Model via Genetic Algorithm

被引:64
作者
Song, Jun [1 ]
Niu, Yugang [1 ]
机构
[1] East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China
基金
中国国家自然科学基金;
关键词
Generators; Mathematical model; Genetic algorithms; Symmetric matrices; Hidden Markov models; Stability analysis; Linear matrix inequalities; 2-D systems; event-triggering protocol; genetic algorithm (GA); Roesser model; sliding mode control; DESCRIPTOR SYSTEMS; TRACKING CONTROL;
D O I
10.1109/TCYB.2019.2959139
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The co-design problem of 2-D event generators and sliding mode controller (SMC) is studied in this article for the discrete-time 2-D Roesser model to reduce the communication usage between the plant and the controller. First, by resorting to the 2-D reaching law conditions, the event-based 2-D SMC schemes are proposed and a kind of horizonal/vertical independent event generator is designed. Then, the stability of the sliding-mode dynamics is analyzed and a nonlinear matrix inequality condition associated with the horizontal/vertical sliding matrices is obtained. In order to solve the derived nonlinear matrix inequality condition without introducing conservatism, a binary genetic algorithm (GA) is applied by considering a multiobjective optimization problem, which reflects the tradeoff between the convergence of the sliding-mode dynamics and the scheduling performance of the designed horizontal/vertical event generators. Finally, a simulation example is exploited to demonstrate the effectiveness of the proposed co-design approach with GA.
引用
收藏
页码:4581 / 4590
页数:10
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