Prescribed-Time Control of Stochastic Nonlinear Systems with Reduced Control Effort

作     者：LI Wuquan KRSTIC Miroslav LI Wuquan;KRSTIC Miroslav

作者机构：School of Mathematics and Statistics ScienceLudong UniversityYantai 264025China Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaSan DiegoLa JollaCA 92093USA 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2021年第34卷第5期

页      面：1782-1800页

核心收录：

学科分类：02[经济学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 070103[理学-概率论与数理统计] 071101[理学-系统理论] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 0711[理学-系统科学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0714[理学-统计学（可授理学、经济学学位）] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China under Grant No.61973150 the Young Taishan Scholars Program of Shandong Province of China under Grant No.tsqn20161043 Shandong Provincial Natural Science Foundation for Distinguished Young Scholars under Grant No.ZR2019JQ22 Shandong Province Higher Educational Excellent Youth Innovation team under Grant No.2019KJN017 

主　　题：Control effort prescribed-time design stochastic nonlinear strict-feedback systems 

摘      要：A new prescribed-time state-feedback design is presented for stochastic nonlinear strictfeedback *** from the existing stochastic prescribed-time design where scaling-free quartic Lyapunov functions or scaled quadratic Lyapunov functions are used,the design is based on new scaled quartic Lyapunov *** designed controller can ensure that the plant has an almost surely unique strong solution and the equilibrium at the origin of the plant is prescribed-time mean-square *** that,the authors redesign the controller to solve the prescribed-time inverse optimal mean-square stabilization *** merit of the design is that the order of the scaling function in the controller is reduced dramatically,which effectively reduces the control *** simulation examples are given to illustrate the designs.