Last edited by Goltilrajas
Sunday, July 26, 2020 | History

7 edition of Minimum entropy H [infinity] control found in the catalog.

# Minimum entropy H [infinity] control

## by D. Mustafa

Written in English

Subjects:
• H [infinity symbol] control.,
• Entropy (Information theory),
• State-space methods.

• Edition Notes

Classifications The Physical Object Statement D. Mustafa, K. Glover. Series Lecture notes in control and information sciences ;, 146 Contributions Glover, K. 1946- LC Classifications QA402.3 .M87 1990 Pagination viii, 144 p. : Number of Pages 144 Open Library OL1857943M ISBN 10 3540529470, 0387529470 LC Control Number 90010205

H∞ Dynamic output feedback control of LPV time-delay systems via dilated linear matrix inequalities 3 May | Transactions of the Institute of Measurement and Control, Vol. 41, No. 2 Multi-objective Steering Law Design for Attitude Control of a Spacecraft with CMGsCited by:   A discrete-time-coupled state-dependent Riccati equation (CSDRE) control strategy is structured in this paper for synthesizing state feedback controllers satisfying the combined nonlinear quadratic regulator (NLQR) and H ∞ robust control performance objectives. Under smoothness assumptions, the nonlinear plant dynamics can be formulated into state-dependent coefficient form .

H ∞ (i.e. "H-infinity") methods are used in control theory to synthesize controllers to achieve stabilization with guaranteed performance. To use H ∞ methods, a control designer expresses the control problem as a mathematical optimization problem and then finds the controller that solves this optimization. H ∞ techniques have the advantage over classical control techniques in that they. Systems & Control Letters 14 () North-Holland Discrete time controllers satisfying a minimum entropy criterion P.A. IGLESIAS, D. MUSTAFA and K. GLOVER Department of Engineering, Trumpington Street, Cambridge University, Cambridge CB2 1PZ, England Received 7 August Revised 3 January Abstract: A discrete time, minimum entropy ~'~ control problem is solved Cited by:

Deﬁnition 1 Let G be a continuous function deﬁned on [0,∞)and h >0. Let H be a compact subset ofC(X). Then the MEE learning algorithm associated with H is deﬁned by f z =argmin f∈H (−log 1 m2h m ∑ i=1 m ∑ j=1 G [(y i− f(x))−(y j− f(x))] 2 2h2!). (1) The set H . This work does not address the learning issues when the number of samples is limited. In this case, the problem becomes much more complex since there is an extra bias in the entropy by:

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### Minimum entropy H [infinity] control by D. Mustafa Download PDF EPUB FB2

This book takes the topic of H-infinity control as a point of departure and pursues an improved controller design which has been suggested in the mainstream of robust control. Its main theme, minimum entropy control, provides a means of trading off some of the features of other control.

The entropy of a system.- The minimum entropy $$\mathcal{H}_\infty$$ control problem.- The minimum entropy $$\mathcal{H}_\infty$$ distance problem.- Relations to combined $$\mathcal{H}_\infty$$ /LQG control.- Relations to risk-sensitive LQG control Get this from a library.

Minimum Entropy H[infinity] Control. [D Mustafa; K Glover] -- This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by.

Minimum Entropy H_ Control. Authors: Mustafa, Denis, Glover, Keith Free Preview. Buy this book eB59 € price for Spain (gross) The eBook version of this title will be available soon; ISBN About this book. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution.

The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H. control and. Minimum Entropy Control for Time-Varying Systems (Systems & Control: Foundations & Applications) th Edition by Marc A. Peters (Author) › Visit Amazon's Marc A.

Peters Page. Find all the books, read about the author, and more. See search results for this author Cited by:   American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA In particular we consider the connections between the time-varying minimum entropy control problem and the time-varying analogues to the H[subscript 2], H[symbol not reproducible] and risk.

State-space solution to a minimum-entropy H-infinity optimal control problem with a nested information constraint Article (PDF Available) March with 75 Reads How we measure 'reads'. The minimum entropy H~ control problem is defined as the problem of minimizing an entropy function under the constraint of internal stability of the closed loop system and under the constraint of an upper bound T on the H~ norm of the closed loop transfer matrix.

Under the standard assumptions mentioned above, this problem was solved in [9].Cited by: An analysis of the pole-zero cancellations in H~-optimal control problems of the first kind. SIAM J. Control Optimiz., 25, Brief Paper Mustafa, D.

(a). Relations between maximum entropy/H® control and combined H®/LQG control. Syst. Control Lett., 12, Mustafa, D. (b). On H® control, LQG control and minimum Cited by: The Minimum Entropy H∞ Control Problem is posed and solved. The problem is to determine a controller which minimizes the entropy of a system whilst stabilizing it and satisfying a closed-loop H.

[B3] D. Mustafa and K. Glover, Minimum Entropy H ∞ Control, Springer Verlag, Lecture Notes in Control and Information Sciences, volumeArticles in scientific journals and edited books [J1] P.R. Kleindorfer and K. Glover, "Linear Convex Stochastic Optimal Control with Applications in Production Planning", IEEE Transactions on.

Minimum entropy H#infinity# control. Author: Mustafa, Denis. ISNI: Awarding Body: University of Cambridge Current Institution: University of Cambridge Date of Award: Availability of Full Text: Full text unavailable from EThOS.

The entropy of a system.- The minimum entropy $$\mathcal{H}_\infty$$ control problem.- The minimum entropy $$\mathcal{H}_\infty$$ distance problem.- Relations to combined $$\mathcal{H}_\infty$$ /LQG control.- Relations to risk-sensitive LQG control.- The normalized $$\mathcal{H}_\infty$$ control problem.- $$\mathcal{H}_\infty$$ -characteristic.

If P is a generalized state-space model with uncertain or tunable control design blocks, then hinfsyn uses the nominal or current value of those elements. One application of H ∞ control is direct shaping of closed-loop singular value plots of control systems. In such applications, you augment the plant inputs and outputs with weighting functions (loop-shaping filters) that represent control AS: All-solutions controller parameterization, scaled so that ‖Q‖∞<1.

H-inﬁnity optimization problem appears to be formulated as the task of designing a sta­ bilizing controller K(s), which minimizes the H-inﬁnity norm of the closed-loop transfer matrix Tzwfrom w to z for a given open loop plant P (s) (see Figure ), deﬁned by state space equations x˙ File Size: KB.

Performing a multi-rate minimum entropy H ∞ control synthesis descri bed above, produces a multi-rate H ∞ controller that returns an optimal l 2 induced norm of γ * = () Minimum entropy static output-feedback control with an H/sub ∞/-norm performance bound.

IEEE Transactions on Automatic ControlOnline publication date: 1-JunCited by: Part 1 Introduction: robustness analysis; the infinity control problem; stabilization of uncertain systems; the graph topology; the mixed-sensitivity problem; main items of this book - singular systems, differential game, the minimum entropy infinity control problem, the finite horizon infinity control problem, discrete time systems.

The method combines the minimum entropy control with an Iterative Learning Control (ILC) framework, where the control horizon is divided into a number of time-domain intervals called Batches.Minimum entropy control represents a mixed H 2 − H ∞ control concept and has been first introduced in, and extended in.

Since string stability refers to a bound on the H ∞ norm of the transfer behavior between vehicles, it seems reasonable to make use of this by: 2.Abstract.

In this article we provide a solution to the mixed H 2 /H ∞ problem with reduced order controllers for time-varying systems in terms of the solvability of differential linear matrix inequalities and rank conditions, including a detailed discussion of how to construct a controller.

Immediate specializations lead to a solution of the full order problem and the mixed H 2 /H Cited by: