NDLI: Parameterized Robust Control Invariant Sets for Linear Systems: Theoretical Advances and Computational Remarks

Content Provider	IEEE Xplore Digital Library
Author	Rakovic, S.V. Baric, M.
Copyright Year	1963
Abstract	We characterize a family of parametrized robust control invariant sets for linear discrete time systems subject to additive but bounded state disturbances. The existence of a member of the introduced family of parametrized robust control invariant sets can be verified by solving a tractable convex optimization problem in the linear convex case, which reduces to the standard linear or convex quadratic programme in the linear polytopic case. The developed method can also be utilized to detect and obtain an implicit representation of local control Lyapunov functions in the linear convex case from the solution of a single and tractable convex optimization problem. The offered method permits for the computation of polytopic robust control invariant sets and local control Lyapunov functions of indirectly controlled and limited complexity in the linear polytopic case.
Sponsorship	IEEE Control Systems Society
Starting Page	1599
Ending Page	1614
Page Count	16
File Size	702440
File Format	PDF
ISSN	00189286
Volume Number	55
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robust control Linear systems Lyapunov method Discrete time systems Optimization methods Robust stability Constraint optimization Control systems Control system synthesis linear polytopic case Control Lyapunov functions
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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