Continuous Time Dynamical Systems (Hardcover)

B.M. Mohan

ISBN 10: 1466517298 / ISBN 13: 9781466517295

Published by Taylor & Francis Inc, Bosa Roca, 2012

About this Item

Hardcover. Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional.This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomialsState estimation of linear time-invariant systemsLinear optimal control systems incorporating observersOptimal control of systems described by integro-differential equationsLinear-quadratic-Gaussian controlOptimal control of singular systemsOptimal control of time-delay systems with and without reverse time termsOptimal control of second-order nonlinear systemsHierarchical control of linear time-invariant and time-varying systems 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781466517295

Bibliographic Details

• Title: Continuous Time Dynamical Systems (Hardcover)
• Publisher: Taylor & Francis Inc, Bosa Roca
• Publication Date: 2012
• Language: English
• ISBN 10: 1466517298
• ISBN 13: 9781466517295
• Binding: Hardcover
• Condition: new

About this title

Synopsis

Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional.

This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria.

Illustrated throughout with detailed examples, the book covers topics including:

• Block-pulse functions and shifted Legendre polynomials
• State estimation of linear time-invariant systems
• Linear optimal control systems incorporating observers
• Optimal control of systems described by integro-differential equations
• Linear-quadratic-Gaussian control
• Optimal control of singular systems
• Optimal control of time-delay systems with and without reverse time terms
• Optimal control of second-order nonlinear systems
• Hierarchical control of linear time-invariant and time-varying systems

About the Author

B.M. Mohan, S.K. Kar