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Continuous time dynamical systems : state estimation and optimal control with orthogonal functions

Author: B M Mohan; S K Kar
Publisher: Boca Raton : CRC Press, ©2013.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book presents the developments in problems of state estimation and optimal control of continuous-time dynamical systems using orthogonal functions since 1975. It deals with both full and reduced-order state estimation and problems of linear time-invariant systems. It also addresses optimal control problems of varieties of continuous-time systems such as linear and nonlinear systems, time-invariant and  Read more...
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Details

Document Type: Book
All Authors / Contributors: B M Mohan; S K Kar
ISBN: 9781466517295 1466517298
OCLC Number: 806200481
Description: xx, 221 p. : ill. ; 24 cm.
Contents: Introduction Optimal Control Problem Historical Perspective Organization of the Book Orthogonal Functions and Their Properties Introduction Block-Pulse Functions (BPFs) Legendre Polynomials (LPs) Shifted Legendre Polynomials (SLPs) Nonlinear Operational Matrix Rationale for Choosing BPFs and SLPs State Estimation Introduction Inherent Filtering Property of OFs State Estimation Illustrative Examples Conclusion Linear Optimal Control Systems Incorporating Observers Introduction Analysis of Linear Optimal Control Systems Incorporating Observers Illustrative Example Conclusion Optimal Control of Systems Described by Integro-Differential Equations Introduction Optimal Control of LTI Systems Described by Integro-Differential Equations Illustrative Example Conclusion Linear-Quadratic-Gaussian Control Introduction LQG Control Problem Unified Approach Illustrative Example Recursive Algorithms Conclusion Optimal Control of Singular Systems Introduction Recursive Algorithms Unified Approach Illustrative Examples Conclusion Optimal Control of Time-Delay Systems Introduction Optimal Control of Multi-Delay Systems Optimal Control of Delay Systems with Reverse Time Terms Conclusion Optimal Control of Nonlinear Systems Introduction Computation of the Optimal Control Law Illustrative Examples Conclusion Hierarchical Control of Linear Systems Introduction Hierarchical Control of LTI Systems with Quadratic Cost Functions Solution of Hierarchical Control Problem via BPFs Extension to Linear Time-Varying Systems Computational Algorithm Illustrative Examples Conclusion
Responsibility: B.M. Mohan, S.K. Kar.

Abstract:

"This book presents the developments in problems of state estimation and optimal control of continuous-time dynamical systems using orthogonal functions since 1975. It deals with both full and reduced-order state estimation and problems of linear time-invariant systems. It also addresses optimal control problems of varieties of continuous-time systems such as linear and nonlinear systems, time-invariant and time-varying systems, as well as delay-free and time-delay systems. Content focuses on development of recursive algorithms for studying state estimation and optimal control problems"--
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"... provides a good introduction of using orthogonal function approaches for state estimation and optimal control problems. ... the first book I've seem that puts it all together in one text. ... Read more...

 
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