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E-raamat: Optimal Control Engineering with Matlab

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  • Formaat: 434 pages
  • Ilmumisaeg: 01-Apr-2013
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-13: 9781624171949
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  • Formaat: 434 pages
  • Ilmumisaeg: 01-Apr-2013
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-13: 9781624171949
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For control engineers, optimal control is a tool to design a primal controller which secures system stability and fulfills a certain set of specifications via the optimization of a specific performance index. In this way, troublesome trial-and-error controller tuning procedures are avoided. The next step is to assess the possibility of practical implementation, and this usually leads to a need to implement some controller trade-offs. To this end, this book aims to construct bridges between conventional parameter optimization and the methods of optimal control theory. Optimal Control Engineering with Matlab teaches students efficiently how to apply the well-known standard optimal control theory as well as recently developed methods for the practical implementation of optimal controllers for dynamic systems. In this book, the author uses his experience gained over twenty-five years of teaching and supervising graduate and postgraduate students in many engineering specializations to communicate the essentials of a very important branch of control system theory to a new generation of engineering students.
Preface xi
Acknowledgments xiii
Chapter 1 Mathematical Background and Optimal Problem Modeling
1(34)
1.1 Introduction
1(1)
1.2 Optimal Control in Engineering
2(1)
1.3 Controller Design Concepts
3(1)
1.4 Finite Dimensional Optimization---A Mathematical Review
4(5)
1.5 Optimal Problem Modeling
9(26)
Problems
30(2)
References
32(3)
Chapter 2 Controller Design Based on Parameter Optimization
35(60)
2.1 Introduction
35(1)
2.2 Performance Indices
35(6)
2.3 Preliminary Design Concept - The Inward Approach
41(3)
2.4 Parameter Optimization Design - Outward Approach
44(11)
2.5 Limitations of Parameter Optimization
55(9)
2.6 Parameter Optimization with Constraints
64(6)
2.7 Control Vector Parameterization
70(5)
2.8 Parameters Optimization via Genetic Algorithms
75(20)
Problems
79(5)
List of MATLAB Programs
84(10)
References
94(1)
Chapter 3 Calculus of Variations
95(30)
3.1 Introduction
95(1)
3.2 Motivation
95(2)
3.3 Standard Problem Statement
97(10)
3.4 Transverzality Conditions
107(6)
3.5 Extreme Functional with Dynamic Constraints
113(12)
Problems
118(6)
References
124(1)
Chapter 4 Optimal Control Based on Calculus of Variations
125(66)
4.1 Introduction
125(1)
4.2 Optimal Criteria
125(2)
4.3 Statement of Optimal Control Problem
127(5)
4.4 Necessary Conditions of Optimality
132(13)
4.5 Terminal Controllers and Regulators
145(10)
4.6 Terminal Constraints and Variable Terminal Time
155(9)
4.7 Approximate Optimal State-Feedback Control
164(3)
4.8 Numerical Solution Using MATLAB TBVP Solver
167(24)
Problems
176(7)
List of MATLAB Programs
183(6)
References
189(2)
Chapter 5 Optimal Control with Input and State Variable Constraints
191(68)
5.1 Introduction
191(1)
5.2 Input Constraints Optimization
191(2)
5.3 Pontryagin's Principle
193(4)
5.4 Optimal Time Problem
197(14)
5.5 Minimum Control-Effort Problems
211(19)
5.6 Singular Problem
230(12)
5.7 Inequality Constraint of Pure State Variable
242(17)
Problems
250(5)
List of MATLAB Programs
255(3)
References
258(1)
Chapter 6 Dynamic Programming
259(56)
6.1 Introduction
259(1)
6.2 Multi-Stage Decision Problem and Principle of Optimality
259(2)
6.3 A Simple Control Problem in Discrete-Time
261(8)
6.4 Continuous Form of Dynamic Programming
269(11)
6.5 Parametric Expansion
280(9)
6.6 Cross-Product Terms
289(1)
6.7 Differential Dynamic Programming DDP
290(25)
Problems
300(6)
List of MATLAB Programs
306(7)
References
313(2)
Chapter 7 Linear-Quadratic (LQ) Optimal Control
315(72)
7.1 Introduction
315(1)
7.2 Types of Optimal Control Problems
315(1)
7.3 Optimal Solution of the State Regulating Problem
316(7)
7.4 Selection of the Q and R Matrices
323(5)
7.5 Optimal Solution of the Output Regulating Problem
328(7)
7.6 Optimal Solution of the Tracking Problem
335(13)
7.7 Equivalent Quadratic Cost Functional
348(5)
7.8 Solution Based on Hamiltonian Matrix for Invariant Systems
353(7)
7.9 Discrete-Time LQ Optimal Control
360(7)
7.10 Iterative LQ for Nonlinear Systems
367(20)
Problems
372(7)
List of MATLAB Programs
379(6)
References
385(2)
Chapter 8 Optimal Solution Based on Genetic Programming
387(32)
8.1 Introduction
387(1)
8.2 Genetic Programming Review
387(4)
8.3 Enhanced Genetic Programming
391(13)
8.4 Synthesizing Input Constraints Optimal Control Problem
404(15)
Problems
416(1)
References
417(2)
Index 419