The passivity-based stabilization of switched nonlinear systems under asynchronous switching

被引:0
作者
Li, Chensong [1 ,2 ]
Zhao, Jun [1 ]
Georgi, Dimirovski M. [3 ]
机构
[1] Northeastern Univ, Coll Informat Sci & Engn, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
[3] Dogus Univ, Sch Engn, TR-34722 Istanbul, Turkey
来源
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词
Switched nonlinear systems; Passivity; Average dwell time; asynchronous switching; DISSIPATIVE DYNAMICAL-SYSTEMS; H-INFINITY CONTROL; STABILITY; DESIGN; OUTPUT; DELAY;
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
In this paper, we address the stabilization issue of switched nonlinear systems with passive and non-passive subsystems in which the controllers are switched asynchronously with the switching of system modes. For any given average dwell time, any given passivity rate, and any admissible switching delay, we design feedback mode-dependent controllers of subsystems to achieve exponential stabilization. An example is provided to verify the efficiency of the proposed method.
引用
收藏
页码:2029 / 2034
页数:6
相关论文
共 27 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[3]  
Brockett R.W., 1983, Differ. Geom. Control Theory, P181
[4]   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
[5]  
Chen W., 2005, Proc. 16th IFAC World Congress, P143
[6]   A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].
Dayawansa, WP ;
Martin, CF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760
[7]  
Escobar G, 1998, IEEE DECIS CONTR P, P2035, DOI 10.1109/CDC.1998.758630
[8]   Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems [J].
Haddad, WM ;
Chellaboina, V .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2001, 7 (04) :299-335
[9]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[10]   DISSIPATIVE DYNAMICAL-SYSTEMS - BASIC INPUT-OUTPUT AND STATE PROPERTIES [J].
HILL, DJ ;
MOYLAN, PJ .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1980, 309 (05) :327-357