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Intelligent Control Design and MatLab Simulation
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Recent years have seen a rapid development of intelligent control techniques and their successful applications. Numerous theoretical studies and actual industrial implementations demonstrate that artificial intelligent control is a good candidate for control system design in solving the control problems of complex nonlinear systems in the presence of different kinds of uncertainties. Many control approaches/methods, reporting inventions and control applications within the fields of adaptive control, neural control, and fuzzy systems, have been published in various books, journals, and conference proceedings.
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Jinkun Liu
123
Intelligent Control Design
and MatLab Simulation
Jinkun Liu
Beihang University
Beijing
China
ISBN 978-981-10-5262-0 ISBN 978-981-10-5263-7 (eBook)
https://doi.org/10.1007/978-981-10-5263-7
Jointly published with Tsinghua University Press, Beijing
Library of Congress Control Number: 2017951417
© Tsinghua University Press, Beijing and Springer Nature Singapore Pte Ltd. 2018
This Springer imprint is published by Springer Nature
The registered company is Springer Nature Singapore Pte Ltd.
The registered company address is:
152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
Recent years have seen a rapid development of intelligent control techniques and
their successful applications. Numerou s theoretical studies and actual industrial
implementations demonstrate that artificial intelligent control is a good candidate
for control system design in solving the control problems of complex nonlinear
systems in the presence of different kinds of uncertainties. Many control
approaches/methods, reporting inventions and control applications within the fields
of adaptive control, neural control, and fuzzy systems, have been published in
various books, journals, and conference proceedings. In spite of these remarkable
advances in neural control field, due to the complexity of nonlinear systems, the
present research on intelligent control is still focused on the development of fun-
damental methodologies.
The advantage of intelligent control is that neural network and fuzzy system can
model any (sufficiently smooth) continuous nonlinear function in a compact set and
the modeling error is becoming smaller. Thus, an adaptive inte lligent controller is
most suitable in an environment where system dynamics are significantly changing,
highly nonlinear, and in principle not completely known.
This book is motivated by the need for systematic design approaches for
intelligent control system design using neural network and fuzzy-based techniques.
The main objectives of the book are to introduce the concrete design method and
MATLAB simulation of intelligent control strategies.
It is our goal to accomplish these objectives:
• Offer a catalog of implementable intellige nt control design methods for engi-
neering applications;
• Provide advanced intelligent controller design methods and their stability
analysis methods;
• For each intelligent control algorithm, we offer its simulation example and
MATLAB program.
This book provides the reader with a thorough grounding in the intelligent
control system design. Typical intelligent controller design is verified using
MATLAB simulation. In this book, concrete case studies, which present the results
of intelligent controller implementations, are used to illustrate the successful
application of the theory.
The book is structured as follows. The book starts with a brief introduction of
intelligent control in Chap. 1, expert control algorithm and design remarks are given
in Chap. 2, fuzzy sets and membersh ip function are introduced in Chap. 3 , fuzzy
logic controller design is introduced in Chap. 4 , fuzzy T-S modeling and control is
introduced in Chap. 5, adaptive fuzzy controller design and analysis are given in
Chap. 6, Neural network theory are introduced in Cha p. 7, in this Chapter, several
typical neural networks such as BP neural network and RBF neural network are
introduced, the basic design method of adaptive RBF neural network control and
adaptive sliding mode RBF neural network control are introduced in Chaps. 8 and 9,
respectively. Discrete RBF neural network controller design and analysis are given
in Chap. 10. Intelligent optimization algorithms are recommended in Chap. 11, and
at last, iterative learning control algorithm and applications are given in Chap. 12.
For each chapter, several engineering application examples are given. The contents
of each chapter in this book are independent, so that readers can their own needs.
In this book, all the control algorithms and their programs are described separately
and classified by the chapter name, which can be run successfully in MATLAB
7.5.0.342 version or in other more advanced versions. In addition, all the programs
can be downloaded via http://shi.buaa.edu.cn/liujinkun. If you have questions about
algorithms and simulation programs, please E-mail:ljk@buaa.edu.cn.
Beijing, China Jinkun Liu
Contents
1 Introduction to Intelligent Control ........................... 1
1.1 Expert Control
...................................... 2
1.2 Fuzzy Logic Control
.................................. 2
1.3 Neural Network and Control
............................ 2
1.4 Intelligent Search Algori thm
............................ 4
References
............................................... 5
2 Expert PID Control
....................................... 7
2.1 Expert PID Control
................................... 7
2.2 Simulation Example
.................................. 9
Reference
............................................... 13
3 Foundation of Fuzz y Mathematics
........................... 15
3.1 Characteristic Function and Membership Function
........... 15
3.2 Fuzzy Set Expression
................................. 16
3.3 Calculation Method of Fuzzy Set
........................ 17
3.3.1 Basic Calculation Method of Fuzzy Set
............. 17
3.3.2 Fuzzy Operator
............................... 18
3.3.3 Typical Membershi p Function
.................... 19
3.3.4 Design of Fuzzy System
........................ 23
3.4 Fuzzy Matrix Calculation
.............................. 24
3.4.1 Fuzzy Matrix
................................. 24
3.4.2 Fuzzy Matrix Calculation
....................... 25
3.4.3 Compound of Fuzzy Matrix
..................... 26
3.5 Fuzzy Inference
..................................... 28
3.6 Fuzzy Equation
...................................... 30
Reference
............................................... 31
4 Fuzzy Logic Control
...................................... 33
4.1 Design of Fuzzy Logic Controller
....................... 33
4.2 An Example for a Fuzzy Logic Controller Design
........... 34
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