Adaptive control of linear multivariable systems with high frequency gain matrix hurwitz  

作　　者：Ying ZHOU Yuqiang WU Shumin FEI 

机构地区：[1]Research Institute of Automation, Southeast University, Nanjing Jiangsu 210096, China [2]Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China

出　　处：《控制理论与应用（英文版）》2005年第3期280-286,共7页

基　　金：This work was supported bythe National Natural Science Foundation of China (No .60174042,60574007) .

摘　　要：A new adaptive control scheme is proposed for multivariable model reference adaptive control （MRAC） systems based on the nonlinear backstepplng approach with vector form. The assumption on a priori knowledge of the high frequency gain matrix in existing results is relaxed and the new required condition for the high frequency gain matrix can be easily checked for certain plants so that the proposed method is widely applicable. This control scheme guarantees the global stability of the closed-loop systems and the tracking error can be arbitrary small. The simulation result for an application example shows the validity of the proposed nonlinear adaptive scheme.A new adaptive control scheme is proposed for multivariable model reference adaptive control （MRAC） systems based on the nonlinear backstepplng approach with vector form. The assumption on a priori knowledge of the high frequency gain matrix in existing results is relaxed and the new required condition for the high frequency gain matrix can be easily checked for certain plants so that the proposed method is widely applicable. This control scheme guarantees the global stability of the closed-loop systems and the tracking error can be arbitrary small. The simulation result for an application example shows the validity of the proposed nonlinear adaptive scheme.

关 键 词：Vector backstepping method Global stability MIMO systems 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]