control design for non-linear distributed parameter systems with mobile actuators and sensors

作     者：Xiao-Wei Zhang Huai-Ning Wu 

作者机构：The Science and Technology on Aircraft Control Laboratory School of Automation Science and Electrical Engineering Beihang University (Beijing University of Aeronautics and Astronautics) Beijing 100191 People's Republic of China 

出 版 物：《IET Control Theory & Applications》 

年 卷 期：2019年第13卷第14期

页      面：2228-2238页

学科分类：0808[工学-电气工程] 08[工学] 

主　　题：closed loop systems distributed parameter systems parabolic equations sensors partial differential equations nonlinear control systems control system synthesis actuators nonlinear distributed parameter systems mobile actuators control design problem parabolic partial differential equations mobile collocated actuators actuator/sensor pair closed-loop PDE system control-plus-guidance design method nonlinear PDE system resulting closed-loop system mobile actuator/sensor guidance 

摘      要：This study deals with the control design problem for a class of non-linear distributed parameter systems described by parabolic partial differential equations (PDEs) via mobile collocated actuators and sensors. Initially, the spatial domain is decomposed into multiple subdomains according to the number of actuator/sensor pairs and the projection modification algorithm is employed to guarantee each actuator/sensor pair is only capable of moving within the respective subdomain. Subsequently, the well-posedness of the closed-loop PDE system is analysed by means of the operator semigroup theory. Then, a control-plus-guidance design method for the non-linear PDE system is developed in the form of bilinear matrix inequalities, such that the resulting closed-loop system is exponentially stable while satisfying a prescribed performance of disturbance attenuation, and the mobile actuator/sensor guidance can enhance the transient performance of the closed-loop system. Finally, a numerical example and a practical application example are respectively given to show the effectiveness of the proposed design method.