DECENTRALIZED CONTROL FOR NONLINEAR DYNAMICAL SYSTEMS: AN L_2-GAIN CONTROL APPROACH

作     者：Gong Cheng(Department of Eletronic Engineering, Northwestern PolytechnicalUniversity, Xi’an, 710072, China)S. Thompson(Department of Mechanical and Manufacturing Engineering, The Queen’s Universityof Belfast, Belfast BT9 5Ah, United Kingdom)Dai Guanzhong( 

作者机构：Department of Electronic Engineering NW Polytechnical University Xi'an 710072 China Dept. of Mech. and Mfg. Engineering Queen's University of Belfast Belfast BT9 5Ah United Kingdom Dept. of Automat. Contr. Engineering NW Polytechnical University Xi'an 710072 China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：1997年第10卷第2期

页      面：135-143页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

主　　题：nonlinear systems dynamical systems control Hamilton-Jacobi-Bellman equation 

摘      要：A control method is presented for the problem of decentralized stabilizationof large scale nonlinear systems by designing robust controllers, in the sense of L2-gaincontrol, for each subsystem. An uncertainty tolerance matrix is defined to characterize thedesired robustness leve1 of the overall system. It is then identified that, for a given uncer-tainty tolerance matrix, the design problem is related to the existence of a smooth Positivedefinite solution to a modified Ham ilton -Jacobi - Bellman (H-J-B ) equa tion. The solution,if exists, is exactly the payoff function in terms of the game theory. A decentralized statefeedback law is duly designed, which, under the weak assumption of the zero-state ob-servability on the system, renders the overall closed-loop system aspoptotically stable withan explicitly expressed stability region. Finally, relation between the payoff function andthe uncertainty tolerance matrix is provided, highlighting the knowing less and payingmore philosophy.