BOUNDED CONTROLLERS FOR ROBUST EXPONENTIAL CONVERGENCE

被引:72
作者
CORLESS, M [1 ]
LEITMANN, G [1 ]
机构
[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
ROBUST CONTROL; BOUNDED CONTROL; UNCERTAIN SYSTEMS; LYAPUNOV TECHNIQUES;
D O I
10.1007/BF00952819
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider the problem of stabilizing an uncertain system when the norm of the control input is bounded by a prespecified constant. We treat continuous-time dynamical systems whose nominal part is linear and whose uncertain part is norm-bounded by a known affine function of the norm of the system state and the norm of the control input. Given a prespecified rate of convergence and a ball containing the origin of the state space, we present controllers which guarantee that, for all allowable uncertainties and nonlinearities, there is a region of attraction from which all solutions converge to the given ball with the prespecified convergence rate.
引用
收藏
页码:1 / 12
页数:12
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