... Tanaka, Hua O. Wang
Copyright ᮊ 2001 John Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 6
OPTIMAL FUZZY CONTROL
In control design, it is often of ... reduced to the following conditions:
P ) 0, U - 0, V - 0, i - j s.t. h l h /
.
ii ij i j
XX
T
Ž. Ž.
Then, the performance function J satisfies J - x 0 Px 0.
6...
... results for discrete-time systems are pre-
sented. The results, however, also hold for continuous-time systems subject to
some minor modifications.
A MOTIVATING EXAMPLE
27
Ž.
The open-loop system of ... satisfied:
T
Ä4Ä4
A y BF P Ay BF y P - 0, i s 1,2, ,r 2.30
Ž.
iii iii
G
T
PG y P - 0, i - j F r s.t. h l h /
. 2.31
Ž.
ij ij i j
For the meaning of the notation i - j F r s.t...
... .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 11
NONLINEAR MODEL
FOLLOWING CONTROL
In Chapter 9, the model following control for chaotic systems based on the
Takagi-Sugeno ... satisfied if 11.13 , 11.14 , and 11.15
hold for
y1 y1
wx wx

и block-diag ZZ block-diag ZZ , 0
Ž.Ž.
11 11
2
Z
0
1
under - I.
0
Z
1
T
Z 0
T
1
UUU UUU

I y A y BF y A y BM
Ä4...
... Tanaka, Hua O. Wang
Copyright ᮊ 2001 John Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 13
MULTIOBJECTIVE CONTROL
VIA DYNAMIC PARALLEL
DISTRIBUTED ... all p-dimensional vector valued functions ut, t g ᑬ , such that
55 Ž
ϱ
5 Ž.5
2
.
1r2 e
Ž
q
.
u s H ut dt - ϱ and L ᑬ is its extended space, which is
2
02
Ž.
q
defined as t...
... .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 1
INTRODUCTION
1.1 A CONTROL ENGINEERING APPROACH TO FUZZY CONTROL
This book gives a comprehensive treatment of model-based fuzzy ... systems. Building on the
so-called Takagi-Sugeno fuzzy model, a number of most important issues in
fuzzy control systems are addressed. These include stability analysis, syst...
... Tanaka, Hua O. Wang
Copyright ᮊ 2001 John Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 3
LMI CONTROL PERFORMANCE
CONDITIONS AND DESIGNS
The preceding ... satisfies the constraints max ut s 93
2
t
5 Ž.5
-
and max yt s 1.25 -
.
2
t
REFERENCES
1. K. Tanaka, T. Taniguchi, and H. O. Wang, ‘‘Model-Based Fuzzy Control...
... Tanaka, Hua O. Wang
Copyright ᮊ 2001 John Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 4
FUZZY OBSERVER DESIGN
In practical applications, the state ... output feedback design
methods such as observer-based designs. This chapter presents fuzzy ob-
server design methodologies involving state estimation for T-S fuzzy models.
A...
... Tanaka, Hua O. Wang
Copyright ᮊ 2001 John Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 5
ROBUST FUZZY CONTROL
wx
This chapter deals with the issue ... ai
2
yEM 00 0 y
␥
I
bi i bi
XQ X 0000
q s y 1 и block-diag
Ž.
Ž.
0
ˆ
s S q s y 1 Y , 5.15
Ž. Ž.
ii 1
block-diag и T y 2Q
Ä4
Ä4
XIIIIIIII
ij 2
= block-diag
Ä4
XIIIIIIII
T
XA q...
... Wiley & Sons, Inc.
Ž. Ž .
ISBNs: 0-4 7 1-3 232 4-1 Hardback ; 0-4 7 1-2 245 9-6 Electronic
CHAPTER 7
ROBUST-OPTIMAL FUZZY CONTROL
wx
This chapter discusses the robust-optimal fuzzy control problem 1᎐3,which
combines ... to
X ) 0,
ROBUST-OPTIMAL FUZZY CONTROL
124
T
x 0
Ž.
) 0,
x 0 X
Ž.
ˆ
S - 0, i s 1,2, ,r ,
ii
ˆ
T - 0, i - j F r s.t. h l h /
,
ij i j
ˆ
U -...
... Sons, Inc.
Ž. Ž .
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CHAPTER 8
TRAJECTORY CONTROL OF A
VEHICLE WITH MULTIPLE TRAILERS
This chapter contains an in-depth application study ... design tech-
Fig. 8.12 Ten-trailer case.
Fig. 8.13 Simulation result 1.
REFERENCES
151
Fig. 8.14 Simulation result 2.
niques as in the triple-trailer case to the 10-trailer case....