Electronic Resource
Springer
Journal of optimization theory and applications
96 (1998), S. 87-107
ISSN:
1573-2878
Keywords:
H ∞-optimal control
;
nonlinear systems
;
uncertain systems
;
absolute stabilizability
;
structured uncertainty
;
nonlinear S-procedure
;
discrete-time systems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper applies a recent result on nonlinear H ∞-optimal control to give a necessary and sufficient condition for the existence of a state feedback controller which absolutely stabilizes a discrete-time uncertain nonlinear system with structured uncertainty. The class of uncertain systems being considered contain uncertainties which satisfy a certain sum constraint. This sum constraint is a nonlinear discrete-time version of the integral quadratic constraint uncertainty description. The main result is established by using a nonlinear S-procedure result, which enables the robust absolute stabilization problem to be converted into a equivalent nonlinear H∞-optimal control problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022611116645
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