Polytopic LPV modeling and gain-scheduled switching control for a flexible air-breathing hypersonic vehicle  

作　　者：Yiqing Huang Changyin Sun Chengshan Qian Jingmei Zhang Li Wang 

机构地区：[1]School of Automation,Southeast University [2]College of Information and Control,Nanjing University of Information Science & Technology

出　　处：《Journal of Systems Engineering and Electronics》2013年第1期118-127,共10页系统工程与电子技术（英文版）

基　　金：supported by the National Outstanding Youth Science Foundation(61125306);the National Natural Science Foundation of Major Research Plan(91016004;61034002);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20110092110020);the Scientific Research Foundation of Graduate School of Southeast University(YBJJ1103)

摘　　要：A novel gain-scheduled switching control method for the longitudinal motion of a flexible air-breathing hypersonic vehicle （FAHV） is proposed. Firstly, velocity and altitude are selected as scheduling variables, a polytopic linear parameter varying （LPV） model is developed to represent the complex nonlinear longitudinal dynamics of the FAHV. Secondly, based on the obtained polytopic LPV model, the flight envelope is divided into four smaller subregions, and four gain-scheduled controllers are designed for these parameter subregions. Then, by the defined switching characteristic function, these gain-scheduled controllers are switched in order to guarantee the closed-loop FAHV system to be asymptotically stable and satisfy a given tracking error performance criterion. The condition of gain-scheduled switching controller synthesis is given in terms of linear matrix inequalities （LMIs） which can be easily solved by using standard software packages. Finally, simulation results show the effectiveness of the presented method.A novel gain-scheduled switching control method for the longitudinal motion of a flexible air-breathing hypersonic vehicle （FAHV） is proposed. Firstly, velocity and altitude are selected as scheduling variables, a polytopic linear parameter varying （LPV） model is developed to represent the complex nonlinear longitudinal dynamics of the FAHV. Secondly, based on the obtained polytopic LPV model, the flight envelope is divided into four smaller subregions, and four gain-scheduled controllers are designed for these parameter subregions. Then, by the defined switching characteristic function, these gain-scheduled controllers are switched in order to guarantee the closed-loop FAHV system to be asymptotically stable and satisfy a given tracking error performance criterion. The condition of gain-scheduled switching controller synthesis is given in terms of linear matrix inequalities （LMIs） which can be easily solved by using standard software packages. Finally, simulation results show the effectiveness of the presented method.

关 键 词：linear parameter varying system gain-scheduled switching control tracking control hypersonic vehicle linear matrix inequality. 

分 类 号：V249[航空宇航科学与技术—飞行器设计]