DocumentCode :
2536898
Title :
Construction of Lyapunov function that maximizes the parameter uncertainty that can be handled by output feedback stabilized discrete-time dynamic systems
Author :
Magana, Mario E. ; Mott, John H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
fYear :
1993
fDate :
17-20 Oct 1993
Firstpage :
69
Abstract :
It has been shown that if the uncertainties of a discrete-time dynamic system can be modeled by cone bounded functions of the states, that such a system can be asymptotically stabilized, depending on the size of the uncertainties, via either deterministic Lyapunov based state or output feedback. Unlike continuous-time dynamic systems, the size of the uncertainties of discrete-time dynamic systems that can be handled can not be arbitrarily large. In this paper, we present an algorithm that enables the designer to construct a Lyapunov function such that the output feedback controller derived from it is capable of handling the largest possible uncertainty, Our approach relies on the construction of a matrix Q that has a structure which facilitates the computation of the maximum uncertainty through the maximization of a judiciously chosen cost function
Keywords :
Lyapunov methods; asymptotic stability; discrete time systems; feedback; Lyapunov function; asymptotic stabilization; cone bounded functions; cost function maximization; deterministic Lyapunov based state feedback; output feedback stabilized discrete-time dynamic systems; parameter uncertainty maximization; Algorithm design and analysis; Control systems; Cost function; Eigenvalues and eigenfunctions; Equations; Lyapunov method; Output feedback; Symmetric matrices; Uncertain systems; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
Type :
conf
DOI :
10.1109/ICSMC.1993.384722
Filename :
384722
Link To Document :
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