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Finite Horizon H.(Infinity) and Related Control Problems [Kõva köide]

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Finite Horizon H.(Infinity) and Related Control Problems
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.
Part 1 Necessary conditions for optimality in problems with nonstandard
cost functionals: preliminaries; necessary conditions for optimality; cost
functional of the form of a product; certain generalizations. Part 2
Synthesis of suboptimal H... controllers over a finite horizon: finite
horizon case; computation of ...; a differential equation for ...; examples;
a suboptimal feedback controller; conclusions. Part 3 General formulae for
suboptimal H... control over a finite horizon: problem formulation; full
state feedback problem; output feedback controller; summary of results;
conclusions. Part 4 Finite horizon H... with parameter variations: problem
formulation; feedback solutions; computation of performance; performance
variation; performance robustness problem solution; an example; conclusions.
Part 5 A general minimization problem with application to performance
robustness in finite horizon H...: existence of a minimizer; characterization
of ... and ...; variation of the minimum value; application to performance
robustness; conclusions. Part 6 H... design of the F/A-18A automatic carrier
landing system: H... controller design; actuator and engine dynamics;
response to disturbances; conclusions.