Conference Program of WCICA 2012

WCICA 2012
Book of Abstracts: Friday Sessions
of control system, but also to evaluate the pairing which is currently
applied and analyze whether another variables pairing is needed.
◮ FrB03-3 16:30–16:50
Design of Parametric Finite Time Functional Observers in Linear Timeinvariant
Systems, pp.1156–1159
Wang, Guo-sheng
Lv, Hong-tao
Lv, Qiang
Acad. of Armored Force Engineering
Acad. of Armored Force Engineering
Acad. of Armored Force Engineering
A design problem of the parametric finite time functional observers for
the linear time-invariant systems is investigated. The aim is to design
the parametric form of the functional observers which can estimate directly
the linear functions of the state for the linear time-invariant systems
in a predefined finite time. Based on the parametric solutions for
a class of Sylvester matrix equation, this paper presents the parametric
expressions of all the gain matrices for the finite time functional observers,
in which the free parameters can offer all the design degrees
of freedom for control system design. Finally, a numerical example and
its simulation results show the simplicity and effectiveness of the proposed
design method of parametric finite time functional observers in
the linear time-invariant systems.
◮ FrB03-4 16:50–17:10
Observer Design for Wave Equations with van der Pol Type Boundary
Conditions, pp.1471–1476
Li, Liangliang
Huang, Yu
Xiao, MingQing
Zhongkai Univ. of Agriculture & Engineering
Zhongshan (Sun Yat-Sen) Univ.
Southern Illinois Univ.
In this paper, we study the observer design problem for onedimensional
wave equation with van der Pol type boundary condition,
whose dynamics presents spatiotemporal chaotic behaviors. By introducing
a linear error feedback on the boundary, we construct an observer
via method of characteristic. The main approach is to construct two
one-dimensional mappings which can characterize the evolutionary dynamics
of the system as well as the observer, and the convergence of
error dynamics is obtained in terms of these two mappings. The range
of the feedback gain is identified. Numerical simulation is provided to
illustrate the theoretical outcomes.
◮ FrB03-5 17:10–17:30
The Estimation of the Solutions Matrix of the Perturbed Discrete Time
Algebraic Riccati Equation, pp.1172–1175
Bi, Haiyun
Chen, Dongyan
Anhui Polytechnic Univ.
Harbin Univ. of Sci. & Tech.
In this paper, the estimation problem of the solution matrix about the
perturbed discrete time algebraic Riccati equation (PDTARE) is discussed.
The estimation of upper and lower bounds of the solution
matrix to the equation under a certain uncertainty assumption are p-
resented by applying the matrix calculation property, and the estimation
results are given by a matrix inequality and a discrete time algebra
Riccati equations(DTARE). Finally, the effectiveness of above results is
shown by an example.
◮ FrB03-6 17:30–17:50
Admissibility Conditions for Linear Singular Delta Operator Systems:
Analysis and Synthesis, pp.1870–1875
Mao, Qing-tang
Dong, Xin-zhuang
Tian, Wan-hu
Qingdao Univ.
Qingdao Univ.
Qingdao Univ.
This paper mainly deals with the problems of admissibility analysis and
admissible control for linear singular delta operator systems. By introducing
the delta operator into the discrete model of a linear singular
continuous system, the delta operator model is set up which tends to
the corresponding continuous system when the sampling period tends
to zero. Necessary and sufficient admissibility conditions are proposed
for linear singular delta operator systems. Based on these results, the
problem of admissible control is also considered and an explicit expression
of a desired state feedback controller is given. Finally, examples
are provided to demonstrate the results in this paper.
FrB04 15:50–17:50 Room 203D
Slide Mode Control
Chair: Liu, Shirong
Co-Chair: SHI, Juan
Hangzhou Dianzi Univ.
Victoria Univ.
◮ FrB04-1 15:50–16:10
Nonlinear Attitude Control of a 3D Rigid Pendulum using Hierarchical
Sliding Mode Techniques, pp.1524–1528
Zou, Kui
GE, Xinsheng
Beijing Information Sci. & Tech.
Beijing Information Sci. & Tech. Univ.
This paper studies the attitude control problem of a 3D rigid pendulum.
The 3D rigid pendulum is a reduced model of Geo-stationary(GEO)
spacecraft. It consists of a rigid body supported by a fixed and frictionless
pivot with three rotational degrees, acted on by a constant gravitational
force. An improved hierarchical sliding mode method is proposed
for nonlinear attitude control of the 3D rigid pendulum at arbitrary position.
This method divides the system into two subsystems, and then we
use Lyapunov law to obtain the total control input which contains equivalent
control components of each subsystem, we can guarantee that
each subsystem accesses into their own sliding planes. The asymptotic
stability of all sliding planes is also proved theoretically, and simulation
results show the controller’s validity.
◮ FrB04-2 16:10–16:30
Integral Sliding Mode Control of Z-source Inverter for Motor Drive System
of Electric Vehicles, pp.1196–1200
Sun, Qu
Wang, Yongyu
Univ. of Sci. & Tech. Beijing
Univ. of Beijing Post & Telecommunication
In order to overcome the disadvantages of non-minimum phase system,
which the Z-source inverter has when it is used in the motor drive system
of electric vehicles, an integral sliding-mode controller based on
equivalent control is proposed. With the reaching condition imposed,
the controller can guarantee the stability of closed-loop system and the
robustness of system output. Based on the pseudo-output, which is defined
by measured capacitor voltage and inductor current on Z-source
network, a constant capacitor voltage control strategy for Z-source inverter
is given. The simulation results show that the closed-loop control
system for Z-source inverter can achieve better global robustness with
zero steady error, and that the capacitor voltage on Z-source network
can be stabilized so that good performances of motor drive system can
be effectively realized.
◮ FrB04-3 16:30–16:50
On Hierarchical Sliding Mode Control of Underactuated TORA System,
pp.1785–1789
Bao, Yuqing
Li, Junyuan
Xie, Jihua
Gao, Bingtuan
Southeast Univ.
Harbin Inst. of Tech.
Southeast Univ.
Southeast Univ.
Two different hierarchical sliding mode controllers are designed for an
underactuated TORA (Translational Oscillator with Rotational Actuator)
system. Firstly, the dynamics of TORA system is separated into two
subsystems according to the motion degrees of freedom. Each subsystem
contains two state variables, which are chosen to construct a
sub-sliding mode surface. And the total sliding mode surface is defined
as a function of the two sub-sliding mode surfaces. For the two methods
of hierarchical sliding mode control, the first method is to define the
total sliding mode surface as a piecewise linear function of the two subsliding
surfaces. The coefficient of the function needs to be frequently
switched to guarantee the system stability. The second method is to define
the total sliding mode surface as a continuous liner function of the
two sub-sliding mode surfaces. The coefficient sign of the continuous
liner function is determined by analyzing the model. Finally, simulation
results demonstrate the feasibility of the two controllers, and show that
the second controller has better performance.
◮ FrB04-4 16:50–17:10
Dynamic Output Feedback Sliding Mode Control for Magnetic Bearing
System Stabilization, pp.1547–1552
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