Finite Horizon H∞ and Related Control Problems

AvM.Bala Subrahmanyam

Inbunden, Engelska, 1995

Del i serien Systems & Control: Foundations & Applications

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Beskrivning

This book presents a generalized state-space theory for the analysis and synthesis of finite horizon suboptimal H...controllers. Expressions for a suboptimal controller are derived in a general setting and an approximate solution to the H...performance robustness problem is proposed. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. Chapter 2 gives a criterion for the evaluation of the infimal H...norm in the finite horizon case. A general suboptimal control problem is then posed, and an expression for a suboptimal H...state feedback controller is derived. Chapter 3 develops expressions for a suboptimal H...output feedback controller in a very general case via the solution of two dynamical Riccati equations. Assuming the adequacy of linear expressions, chapter 4 gives an iterative procedure for the synthesis of a suboptimal H...controller which yields the required performance even under parameter variations. Chapter 5 treats a general minimization problem in which the cost functional is a quotient of definite integrals.The results are useful in computing the actual performance of a given controller. In chapter 6, a design of the F/A-18A automatic carrier landing system is accomplished using finite horizon H...techniques. The book is based mainly on the author's research papers and presents a very practical point of view toward the applications. It can be used as a one semester or one quarter graduate level course in electrical, mechanical or chemical engineering.

Produktinformation

Utgivningsdatum:1995-03-01
Mått:155 x 235 x 13 mm
Vikt:380 g
Format:Inbunden
Språk:Engelska
Serie:Systems & Control: Foundations & Applications
Antal sidor:122
Upplaga:1995
Förlag:Birkhauser Boston
ISBN:9780817638115

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"The book is well composed, contains many examples and bibliographical references and can be recommended to everyone interested in the subject." --Zentralblatt Math.

Innehållsförteckning

1 Necessary Conditions for Optimality in Problems with Nonstandard Cost Functionals.- 1. Introduction.- 2. Preliminaries.- 3. Necessary Conditions For Optimality.- 4. Cost Functional Of The Form Of A Product.- 5. Certain Generalizations.- References.- 2 Synthesis of Suboptimal H? Controllers over a Finite Horizon.- Abstract.- 1. Introduction.- 2. Finite Horizon Problem.- 3. Computation Of $$\tilde \lambda $$.- 4. A Differential Equation For $$\tilde \lambda $$.- 5. Examples.- 6. A Suboptimal Feedback Controller.- 7. Conclusions.- References.- 3 General Formulae for Suboptimal H? Control over a Finite Horizon.- Abstract.- 1. Introduction.- 2. Problem Formulation.- 3. Full State Feedback Problem.- 4. Output Feedback Controller.- 5. Summary Of Results.- 6. Conclusions.- References.- 4 Finite Horizon H? with Parameter Variations.- Abstract.- 1. Introduction.- 2. Problem Formulation.- 3. Feedback Solutions.- 4. Computation Of Performance.- 5. Performance Variation.- 6. Performance Robustness Problem Solution.- 7. An Example.- 8. Conclusions.- References.- 5 A General Minimization Problem with Application to Performance Robustness in Finite Horizon H?.- Abstract.- 1. Introduction.- 2. Existence Of A Minimizer.- 3. Characterization Of v0 And $$\tilde \lambda $$.- 4. Variation Of The Minimum Value.- 5. Application To Performance Robustness.- 6. Conclusions.- References.- 6 H? Design of the F/A-18A Automatic Carrier Landing System.- Abstract.- 1. Introduction.- 2. H? Controller Design.- 3. Actuator And Engine Dynamics.- 4. Response To Disturbances.- 5. Conclusions.- References.