Electronic Resource
Springer
Journal of optimization theory and applications
76 (1993), S. 1-12
ISSN:
1573-2878
Keywords:
Robust control
;
bounded control
;
uncertain systems
;
Lyapunov techniques
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00952819
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