Information Sciences 463–464 (2018) 186–195
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Information Sciences
journal homepage: www.elsevier.com/locate/ins
Adaptive fuzzy control for induction motors stochastic
nonlinear systems with input saturation based on command
filtering
Zhenhua Zhao, Jinpeng Yu
∗
, Lin Zhao, Haisheng Yu, Chong Lin
College of Automation and Electrical Engineering, Qingdao University, People’s Republic of China
a r t i c l e i n f o
Article history:
Received 30 October 2017
Revised 11 April 2018
Accepted 17 June 2018
Available online 19 June 2018
Keywords:
Adaptive fuzzy control
Backstepping
Induction motors
Stochastic nonlinear systems
a b s t r a c t
This paper presents a command-filter-based adaptive fuzzy control method to solve
stochastic disturbances and input saturation problems for induction motors (IMs) drive
systems. Firstly, the fuzzy logic systems (FLSs) are employed to cope with the stochastic
nonlinear functions in IMs drive systems. Secondly, the quartic Lyapunov function is se-
lected as the stochastic Lyapunov function and the adaptive backstepping method is used
to design controllers. Then the command filtering technology is utilized to deal with the
explosion of complexity in conventional backstepping, and the filtering error is eliminated
by the designed compensating signal. Finally, the effectiveness and superiority of the pro-
posed method are demonstrated by simulation results.
©2018 Elsevier Inc. All rights reserved.
1.
Introduction
Recently, induction motors (IMs) have been widely used in industrial field due to its advantages of simplicity, reliability
and competitive price. However, the difficulties of multivariable, highly nonlinear and strong coupling make it a challeng-
ing problem to control the IMs efficiently [15,19] . In order to solve these problems, many scholars have proposed various
advanced control strategies, for instance, adaptive control, sliding mode control, robust control and so on [1,3,43] . Through
these efforts, significant progress has been made and a better performance of IMs has been obtained.
It should be noted that stochastic disturbances are seldom considered in aforementioned works. In the actual indus-
trial environment, stochastic disturbances are always regarded as the common sources of instability of IMs, for example,
the voltage has stochastic surges and the external load is randomly switched [5,9,11,26,37] . Moreover, the damping torque,
the torsional elastic torque and the magnetic saturation can make some IMs parameters variable to a certain extent, for
instance, self-inductance, mutual inductance, winding resistance and so on. These stochastic disturbances will influence the
IMs dynamic response and control accuracy. In addition, the input saturation is also a common constraint [2,16] , which may
make the control less effective and even damage the stability of the system. Therefore, it is very valuable to study the input
saturation and stochastic disturbance problems to improve the performance of IMs drive systems.
In another research front line, as one of the most popular advanced methods, adaptive backstepping has been applied to
IMs systems successfully [17,20,40] . But there are two obvious problems which restrains its further application. The first one
is that “certain functions must be linear” [24,27] , which makes the method not applicable in most real systems. The second
∗
Corresponding author.
E-mail address: yjp1109@hotmail.com (J. Yu).
https://doi.org/10.1016/j.ins.2018.06.042
0020-0255/© 2018 Elsevier Inc. All rights reserved.