NDLI: Optimal Stabilization Problem With Minimax Cost in a Critical Case

Content Provider	IEEE Xplore Digital Library
Author	Grushkovskaya, V. Zuyev, A.
Copyright Year	1963
Abstract	This work addresses the optimal stabilization problem of a nonlinear control system by using a smooth output feedback. The optimality criterion is the maximization of the decay rate of solutions in a neighborhood of the origin. We formulate this criterion as a minimax problem with respect to non-integral functional. An explicit construction of a Lyapunov function is proposed to evaluate the optimal cost. This design methodology is justified for nonlinear systems in a critical case of stability with a pair of purely imaginary eigenvalues. As an example, a minimax optimal controller is obtained for a spring-pendulum system with partial measurements of the state vector.
Sponsorship	IEEE Control Systems Society
Starting Page	2512
Ending Page	2517
Page Count	6
File Size	160086
File Format	PDF
ISSN	00189286
Volume Number	59
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lyapunov methods Eigenvalues and eigenfunctions Nonlinear systems Closed loop systems Output feedback Asymptotic stability TV Lyapunov Function Optimal Stabilization Critical Case Minimax Cost Asymptotic Estimate optimal stabilization Asymptotic estimate critical case Lyapunov function minimax cost
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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