LYAPUNOV DESIGN OF STABILIZING CONTROLLERS FOR CASCADED SYSTEMS

被引:50
作者
PRALY, L [1 ]
DANDREANOVEL, B [1 ]
CORON, JM [1 ]
机构
[1] UNIV PARIS 11,ANAL NUMER LAB,F-91405 ORSAY,FRANCE
关键词
D O I
10.1109/9.90230
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We are interested in designing a state feedback law for an affine nonlinear system to render a (as small as possible) compact neighborhood of the equilibrium of interest globally attractive. Following Artstein's theorem [1], the problem can be solved by designing a so called control Lyapunov function. The object of this note is to show how such a function can be explicity constructed for some cascaded nonlinear systems.
引用
收藏
页码:1177 / 1181
页数:5
相关论文
共 16 条
[1]   STABILIZATION WITH RELAXED CONTROLS [J].
ARTSTEIN, Z .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) :1163-1173
[2]  
Boothby W. M., 1975, INTRO DIFFERENTIABLE
[3]  
BOURBAKI N, 1958, ELEMENTS MAKTH
[4]   ASYMPTOTIC STABILIZATION OF 2 DIMENSIONAL REAL ANALYTIC SYSTEMS [J].
DAYAWANSA, WP ;
MARTIN, CF .
SYSTEMS & CONTROL LETTERS, 1989, 12 (03) :205-211
[5]   STABILIZATION OF NONLINEAR-SYSTEMS IN THE PLANE [J].
KAWSKI, M .
SYSTEMS & CONTROL LETTERS, 1989, 12 (02) :169-175
[6]  
KAWSKI M, 1989, MAY SIAM C CONTR 199
[7]   A POSITIVE REAL CONDITION FOR GLOBAL STABILIZATION OF NONLINEAR-SYSTEMS [J].
KOKOTOVIC, PV ;
SUSSMANN, HJ .
SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :125-133
[8]   FEEDBACK STABILIZATION OF SINGLE-INPUT NONLINEAR-SYSTEMS [J].
MARINO, R .
SYSTEMS & CONTROL LETTERS, 1988, 10 (03) :201-206
[9]   ON THE LARGEST FEEDBACK LINEARIZABLE SUBSYSTEM [J].
MARINO, R .
SYSTEMS & CONTROL LETTERS, 1986, 6 (05) :345-351
[10]  
PRALY L, 1989, DEC P IEEE C DEC CON