TY - BOOK AU - Naidu,D.S. TI - Optimal control systems T2 - Electrical engineering textbook series SN - 0849308925 AV - TJ213 .N2655 2003 U1 - 629.8 21 PY - 2003///] CY - Boca Raton, Fla. PB - CRC Press KW - Automatic control KW - Control theory KW - Mathematical optimization N1 - Includes bibliographical references (pages 415-424) and index; Classical and Modern Control --; Optimization --; Optimal Control --; Plant --; Performance Index --; Constraints --; Formal Statement of Optimal Control System --; Historical Tour --; Calculus of Variations --; Optimal Control Theory --; Calculus of Variations and Optimal Control --; Function and Functional --; Increment --; Differential and Variation --; Optimum of a Function and a Functional --; The Basic Variational Problem --; Fixed-End Time and Fixed-End State System --; Discussion on Euler-Lagrange Equation --; Different Cases for Euler-Lagrange Equation --; The Second Variation --; Extrema of Functions with Conditions --; Direct Method --; Lagrange Multiplier Method --; Extrema of Functionals with Conditions --; Variational Approach to Optimal Control Systems --; Terminal Cost Problem --; Different Types of Systems --; Sufficient Condition --; Summary of Pontryagin Procedure --; Summary of Variational Approach --; Stage I: Optimization of a Functional --; Stage II: Optimization of a Functional with Condition --; Stage III: Optimal Control System with Lagrangian Formalism --; Stage IV: Optimal Control System with Hamiltonian Formalism: Pontryagin Principle --; Salient Features --; Linear Quadratic Optimal Control Systems I --; Problem Formulation --; Finite-Time Linear Quadratic Regulator --; Symmetric Property of the Riccati Coefficient Matrix --; Optimal Control --; Optimal Performance Index --; Finite-Time Linear Quadratic Regulator: Time-Varying Case: Summary --; Salient Features --; LQR System for General Performance Index N2 - "Written as a second level graduate text with contents not found in any other single book, Optimal Control Systems provides an accessible yet comprehensive treatment of the subject. In a simplified, accessible presentation, the author focuses on the control of deterministic, dynamic physical systems. The author incorporates just the right amount of mathematical rigor and integrates the use of both MATLAB and SIMULINK throughout the book, offers numerous exercise problems, and provides a solutions manual with qualifying course adoptions."--Publisher description ER -