文献类型：期刊文献

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

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

年份：2021

卷号：51

期号：9

起止页码：4581

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20213810922571);WOS:【SCI-EXPANDED(收录号:WOS:000696078900023)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61903143, Grant 61673174, and Grant 61773162, in part by the Shanghai Sailing Program under Grant 19YF1412100, and in part by the 111 Project from China under Grant B17017.

语种：英文

外文关键词：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

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.