Optimal Control Systems

Portada
CRC Press, 27 d’ag. 2002 - 464 pàgines
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.
 

Continguts

Introduction
1
Discussion on EulerLagrange Equation
33
4
39
6
48
Linear Quadratic Optimal Control Systems I
101
Matrix
109
Linear Quadratic Optimal Control Systems II
151
Pontryagin Minimum Principle
152
Additional Necessary Conditions
259
Constrained Optimal Control Systems
293
Vectors and Matrices
365
State Space Analysis
379
MATLAB Files
385
References
415
Index
425
351
430

DiscreteTime Optimal Control Systems
191

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Pàgina 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.
Pàgina 415 - WF DENHAM and AE BRYSON Jr., Optimal Programming Problems with Inequality Constraints. II: Solution by Steepest- Ascent.

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