Finite Horizon H∞ and Related Control Problems - Brossura

Subrahmanyam, M.Bala

Brossura

ISBN 10: 1461287189 ISBN 13: 9781461287186

Casa editrice: Birkhäuser, 2011

Riassunto

HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de­ rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. 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. The problems considered in Chap­ ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti­ mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.

Su questo libro

Recensione

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

Contenuti

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.

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461287189
• ISBN 13: 9781461287186
• Rilegatura: Copertina flessibile
• Numero di pagine: 140
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile