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AuthorSubrahmanyam, M. Bala. author
TitleFinite Horizon Hโ{136}{158} and Related Control Problems [electronic resource] / by M. Bala Subrahmanyam
ImprintBoston, MA : Birkhรคuser Boston, 1995
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Descript X, 122 p. online resource


HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We deยญ 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 Chapยญ 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 suboptiยญ 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


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

Mathematics System theory Mathematics Systems Theory Control


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