NDLI: Dynamic Robust Output Min–Max Control for Discrete Uncertain Systems

Content Provider	Springer Nature Link
Author	Sharav Schapiro, N. Palmor, Z. J. Steinberg, A.
Copyright Year	1999
Abstract	Min–max control is a robust control, which guarantees stability in the presence of matched uncertainties. The basic min–max control is a static state feedback law. Recently, the applicability conditions of discrete static min–max control through the output have been derived. In this paper, the results for output static min–max control are further extended to a class of output dynamic min–max controllers, and a general parametrization of all such controllers is derived. The dynamic output min–max control is shown to exist in many circumstances under which the output static min–max control does not exist, and usually allows for broader bounds on uncertainties. Another family of robust output min–max controllers, constructed from an asymptotic observer which is insensitive to uncertainties and a state min–max control, is derived. The latter is shown to be a particular case of the dynamic min–max control when the nominal system has no zeros at the origin. In the case where the insensitive observer exists, it is shown that the observer-controller has the same stability properties as those of the full state feedback min–max control.
Starting Page	421
Ending Page	439
Page Count	19
File Format	PDF
ISSN	00223239
Journal	Journal of Optimization Theory and Applications
Volume Number	103
Issue Number	2
e-ISSN	15732878
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1999-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theory of Computation Applications of Mathematics Optimization Calculus of Variations and Optimal Control Engineering Operation Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Management Science and Operations Research

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