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Computational Methods for Controller Design : Lecture Notes in Control and Information Sciences - Nicola Elia

Computational Methods for Controller Design

Lecture Notes in Control and Information Sciences

Paperback Published: 25th September 1998
ISBN: 9781852330750
Number Of Pages: 157

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The monograph is concerned with computational methods for controller design that allow several typical performance specifications to be directly imposed on a system. The general approach proposed, is applicable to a large class of problems; it is based on posing multi-objective control problems as convex infinite dimensional optimization problems. Particularly interesting and useful are the following methodological as pects of the approach proposed in the monograph. These are: A unified way to pose the problems as generalized linear programs. Duality theory results that characterize the duality relationship for the generalized linear programs arising from multi-objective control problems. A set of tools to analyse the convergence properties of the computational method based on the duality relationship. The complete analysis and extension of methods developed for the L1 problem, for several important multi-objective problems. This book is primarily concerned with multi-objective control problems as convex optimizations on the space of the closed loop maps. However, the issue of deriving exact or approximate solutions is similar when the problems are posed as dynamic games in s tate space. Therefore the problem of finding the state feedback controller that minimizes the worst-case peak-to-peak amplification of the closed loop system, is considered in the last chapter. The objective of this work is to propose generic computation methods that can be used to solve a wide range of multi-objective control problems. Infinite dimensional convex optimization problems are considered, giving the book a broader focus than other competitive titles in this field. This non-exclusive approach will have a wide appeal for scientists and graduate students. They will be able to determine and analyse readily implementable computational methods to derive exact or approximate solutions. Key words for the catalogue index: Controller design, multi objective control, computational methods, linear programming, robust control.USPs:Generic computational methods are proposed - these can be used to solve a wide range of multi-objective control p roblems.A new computational method for the L1 problem is suggested, which is superior to existing approaches and is based on the solution of a mixed objective problem. The reader will greatly benefit from the comprehensive treatment of this topic.

Introductionp. 1
Mathematical Preliminariesp. 9
Multi-Objective Controlp. 21
Generalized Linear Programs and Duality Theoryp. 31
l[subscript 1] Optimal Control with Constraints on the Step Responsep. 39
l[subscript 1] -Minimization with Magnitude Constraints in the Frequency Domainp. 53
Mixed H[subscript 2]/l[subscript 1] Controlp. 73
A New Computational Method for l[subscript 1]p. 89
Nonlinear Controllers for Minimizing the Worst-Case Peak to Peak Gainp. 105
Conclusionsp. 131
A: Proofs of Results in Chapter 5p. 133
B: Proofs of Results in Chapter 6p. 137
C: Proofs of Results in Chapter 8p. 139
D: Proofs of Results in Chapter 9p. 143
Referencesp. 151
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781852330750
ISBN-10: 1852330759
Series: Lecture Notes in Control and Information Sciences
Audience: General
Format: Paperback
Language: English
Number Of Pages: 157
Published: 25th September 1998
Publisher: Springer London Ltd
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 0.94
Weight (kg): 0.25
Edition Number: 3