Optimal Control Systems
CRC Press, 27 ago 2002 - 464 páginas
The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control.
Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes.
Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.
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Calculus of Variations and Optimal Control
Linear Quadratic Optimal Control Systems I
Linear Quadratic Optimal Control Systems II
DiscreteTime Optimal Control Systems
Pontryagin Minimum Principle
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assume becomes boundary conditions calculus of variations called Chapter closed-loop optimal control Consider constant constraint control law corresponding cost function costate defined dependent derivative difference differential equations discrete-time discuss dynamic Euler-Lagrange equation Example extremization files final condition find the optimal fixed formulate Free-Final Fuel-Optimal Control gain given Hamiltonian hence Implementation increment initial condition input interval Lagrange Lagrangian linear linear quadratic MATLAB maximum method minimize multiplier necessary nonlinear obtain open-loop optimal control system optimal control u*(t origin output performance index plant Plot Pontryagin positive definite present Principle Problem procedure programming regulator system relation respectively Riccati Coefficients Riccati equation satisfy scalar shown in Figure solution solve stage Step Summary symmetric symmetric matrix Table time-optimal control tion tracking trajectory variable various vector x(tf x(to zero дх
Página iii - Namely, because the shape of the whole universe is most perfect and, in fact, designed by the wisest creator, nothing in all of the world will occur in which no maximum or minimum rule is somehow shining forth.