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Model Predictive Control: Classical, Robust and Stochastic 1st ed. 2016 [Hardback]

  • Formāts: Hardback, 384 pages, height x width: 235x155 mm, weight: 7939 g, 3 Illustrations, color; 51 Illustrations, black and white; XIII, 384 p. 54 illus., 3 illus. in color. With online files/update., 1 Hardback
  • Sērija : Advanced Textbooks in Control and Signal Processing
  • Izdošanas datums: 11-Dec-2015
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319248510
  • ISBN-13: 9783319248516
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  • Formāts: Hardback, 384 pages, height x width: 235x155 mm, weight: 7939 g, 3 Illustrations, color; 51 Illustrations, black and white; XIII, 384 p. 54 illus., 3 illus. in color. With online files/update., 1 Hardback
  • Sērija : Advanced Textbooks in Control and Signal Processing
  • Izdošanas datums: 11-Dec-2015
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319248510
  • ISBN-13: 9783319248516
Citas grāmatas par šo tēmu:
For the first time, a textbook that brings together classical predictive control with treatment of up-to-date robust and stochastic techniques.

Model Predictive Control describes the development of tractable algorithms for uncertain, stochastic, constrained systems. The starting point is classical predictive control and the appropriate formulation of performance objectives and constraints to provide guarantees of closed-loop stability and performance. Moving on to robust predictive control, the text explains how similar guarantees may be obtained for cases in which the model describing the system dynamics is subject to additive disturbances and parametric uncertainties. Open- and closed-loop optimization are considered and the state of the art in computationally tractable methods based on uncertainty tubes presented for systems with additive model uncertainty. Finally, the tube framework is also applied to model predictive control problems involving hard or probabilistic constraints for the cases of multiplicative and stochastic model uncertainty. The book provides:









extensive use of illustrative examples; sample problems; and discussion of novel control applications such as resource allocation for sustainable development and turbine-blade control for maximized power capture with simultaneously reduced risk of turbulence-induced damage.

Graduate students pursuing courses in model predictive control or more generally in advanced or process control and senior undergraduates in need of a specialized treatment will find Model Predictive Control an invaluable guide to the state of the art in this important subject. For the instructor it provides an authoritative resource for the construction of courses.

Recenzijas

This book is suitable for advanced undergraduate and graduate students as well as professional researchers and academics.   The book will also be of interest to the practitioners of advanced process control. the effort invested in writing this book will certainly be appreciated by its readers. I am very happy to encourage colleagues active in conventional, robust, and stochastic MPC to acquire this book for their personal collections and make use of it in their research studies. (Saa V. Rakovi, IEEE Control Systems Magazine, Vol. 36 (6), December, 2016)

Model Predictive Control (MPC) is a very popular and successful control technique in both the academic and industrial control communities. undoubtedly, MPC should be part of any current modern control course. This book collects together the many results of the Oxford University predictive control group which have been carried out over a long period and have been very influential in stimulating interest in both linear and nonlinear systems. (Rosario Romera, Mathematical Reviews, October, 2016)

This book manages to provide complete and mathematically rigorous solutions to all the raised problems, under the considered assumptions. In conclusion, the reviewed book is highly recommended to all students (and in particular starting PhD students), researchers and practitioners seeking for a self-standing, clear and mathematically rigorous exposition of the theory and design of classical, robust and stochastic MPC with a linear prediction model structure. (Octavian Pastravanu, zbMATH 1339.93005, 2016)

1 Introduction
1(12)
1.1 Classical MPC
4(1)
1.2 Robust MPC
5(2)
1.3 Stochastic MPC
7(2)
1.4 Concluding Remarks and Comments on the Intended Readership
9(4)
References
9(4)
Part I Classical MPC
2 MPC with No Model Uncertainty
13(54)
2.1 Problem Description
13(2)
2.2 The Unconstrained Optimum
15(3)
2.3 The Dual-Mode Prediction Paradigm
18(3)
2.4 Invariant Sets
21(3)
2.5 Controlled Invariant Sets and Recursive Feasibility
24(5)
2.6 Stability and Convergence
29(3)
2.7 Autonomous Prediction Dynamics
32(10)
2.7.1 Polytopic and Ellipsoidal Constraint Sets
33(3)
2.7.2 The Predicted Cost and MPC Algorithm
36(2)
2.7.3 Offline Computation of Ellipsoidal Invariant Sets
38(4)
2.8 Computational Issues
42(4)
2.9 Optimized Prediction Dynamics
46(5)
2.10 Early MPC Algorithms
51(6)
2.11 Exercises
57(10)
References
62(5)
Part II Robust MPC
3 Open-Loop Optimization Strategies for Additive Uncertainty
67(54)
3.1 The Control Problem
68(3)
3.2 State Decomposition and Constraint Handling
71(12)
3.2.1 Robustly Invariant Sets and Recursive Feasibility
73(3)
3.2.2 Interpretation in Terms of Tubes
76(7)
3.3 Nominal Predicted Cost: Stability and Convergence
83(3)
3.4 A Game Theoretic Approach
86(9)
3.5 Rigid and Homothetic Tubes
95(10)
3.5.1 Rigid Tube MPC
96(5)
3.5.2 Homothetic Tube MPC
101(4)
3.6 Early Robust MPC for Additive Uncertainty
105(7)
3.6.1 Constraint Tightening
105(3)
3.6.2 Early Tube MPC
108(4)
3.7 Exercises
112(9)
References
119(2)
4 Closed-Loop Optimization Strategies for Additive Uncertainty
121(54)
4.1 General Feedback Strategies
122(23)
4.1.1 Active Set Dynamic Programming for Min-Max Receding Horizon Control
130(7)
4.1.2 MPC with General Feedback Laws
137(8)
4.2 Parameterized Feedback Strategies
145(30)
4.2.1 Disturbance-Affine Robust MPC
146(7)
4.2.2 Parameterized Tube MPC
153(11)
4.2.3 Parameterized Tube MPC Extension with Striped Structure
164(8)
References
172(3)
5 Robust MPC for Multiplicative and Mixed Uncertainty
175(68)
5.1 Problem Formulation
176(2)
5.2 Linear Matrix Inequalities in Robust MPC
178(9)
5.2.1 Dual Mode Predictions
184(3)
5.3 Prediction Dynamics in Robust MPC
187(15)
5.3.1 Prediction Dynamics Optimized to Maximize the Feasible Set
192(6)
5.3.2 Prediction Dynamics Optimized to Improve Worst-Case Performance
198(4)
5.4 Low-Complexity Poly topes in Robust MPC
202(11)
5.4.1 Robust Invariant Low-Complexity Polytopic Sets
202(5)
5.4.2 Recursive State Bounding and Low-Complexity Polytopic Tubes
207(6)
5.5 Tubes with General Complexity Polytopic Cross Sections
213(10)
5.6 Mixed Additive and Multiplicative Uncertainty
223(10)
5.7 Exercises
233(10)
References
238(5)
Part III Stochastic MPC
6 Introduction to Stochastic MPC
243(28)
6.1 Problem Formulation
245(6)
6.2 Predicted Cost and Unconstrained Optimal Control Law
251(6)
6.3 Mean-Variance Predicted Cost
257(3)
6.4 Early Stochastic MPC Algorithms
260(4)
6.4.1 Auto-Regressive Moving Average Models
260(3)
6.4.2 Moving Average Models
263(1)
6.5 Application to a Sustainable Development Problem
264(7)
References
268(3)
7 Feasibility, Stability, Convergence and Markov Chains
271(32)
7.1 Recursive Feasibility
272(6)
7.2 Prototype SMPC Algorithm: Stability and Convergence
278(8)
7.2.1 Expectation Cost
278(3)
7.2.2 Mean-Variance Cost
281(3)
7.2.3 Supermartingale Convergence Analysis
284(2)
7.3 Probabilistically Invariant Ellipsoids
286(6)
7.4 Markov Chain Models Based on Tubes with Polytopic Cross Sections
292(11)
References
301(2)
8 Explicit Use of Probability Distributions in SMPC
303(40)
8.1 Polytopic Tubes for Additive Disturbances
304(7)
8.2 Striped Prediction Structure with Disturbance Compensation in Mode 2
311(5)
8.3 SMPC with Bounds on Average Numbers of Constraint Violations
316(3)
8.4 Stochastic Quadratic Bounds for Additive Disturbances
319(9)
8.5 Polytopic Tubes for Additive and Multiplicative Uncertainty
328(15)
References
340(3)
9 Conclusions
343(4)
Solutions to Exercises 347(30)
Index 377
Both authors have lectured and tutored undergraduate students, and have supervised many final year undergraduate projects and doctoral students in control engineering at the Department of Engineering Science, University of Oxford (Doctor Cannons university teaching career spans 20 years whereas Professor Kouvaritakis spans more than 40 years). They have also been active in research, publishing hundreds of articles, in prestigious control journals. In addition they have been Investigators and Principal Investigators in several research projects, some of which are connected with industrial partners.