Full-State Feedback Linearization and Backstepping Control of Nonlinear Markovian Jump Systems

被引:0
作者
Lin, Zhongwei [1 ]
Liu, Jizhen [1 ]
Niu, Yuguang [1 ]
Wang, Wei [1 ]
机构
[1] North China Elect Power Univ, Sch Control & Comp Engn, State Key Lab Alternate Elect Power Syst Renewabl, Beijing 102206, Peoples R China
来源
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
基金
中国国家自然科学基金;
关键词
Markovian jump system; Nonlinear system; Stabilization; Backstepping control; STABILIZATION; PASSIVITY; DESIGN;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the full-state feedback linearization and backstepping control design problems for a class of nonlinear Markovian jump systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes following with the Markovian switchings, i.e., the system can be full-state feedback linearized in every jump mode with respect to the relative degree set {n, ..., n}. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotically stability of nonlinear Markovian jump systems.
引用
收藏
页码:213 / 217
页数:5
相关论文
共 17 条
[1]  
Aliyu M. D. S., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P953, DOI 10.1109/ACC.1999.783181
[2]   PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A ;
WILLEMS, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240
[3]   STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].
HILL, D ;
MOYLAN, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711
[4]  
Isidori A., 1995, NONLINEAR CONTROL SY, V3rd, DOI 10.1007/978-1-84628-615-5
[5]  
Khalil H. K., 2002, Nonlinear Systems, V115
[6]   Robust H∞ control of descriptor discrete-time Markovian jump systems [J].
Lam, J. ;
Shu, Z. ;
Xu, S. ;
Boukas, E. -K. .
INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (03) :374-385
[7]   Robust passivity and feedback design for minimum-phase nonlinear systems with structural uncertainty [J].
Lin, W ;
Shen, TL .
AUTOMATICA, 1999, 35 (01) :35-47
[8]  
Lin Z., 2009, AUTOMATICA, V45, P2955, DOI DOI 10.1016/J.AUTOMATICA.2009.09.027
[9]   Stabilization of interconnected nonlinear stochastic Markovian jump systems via dissipativity approach [J].
Lin, Zhongwei ;
Liu, Jizhen ;
Zhang, Weihai ;
Niu, Yuguang .
AUTOMATICA, 2011, 47 (12) :2796-2800
[10]  
Mahmoud M., 2003, Active Fault Tolerant Control Systems-Stochastic Analysis and Synthesis