Authors:
Luisa Giacomini,
Behzad Bordbar,
David J. Holding,
Volume: 1, Page 2180 Paper number 1149
Abstract:
The paper reports the use of sliding mode control in the design of
a hybrid controller for a distributed system comprising a pair of loosely-coupled
inverted pendulums. A sliding mode controller is designed to independently
drive each pendulum mechanism to provide stabilization and profiled
motion control. Then, to accomplish a reschedulable sequence of tasks,
a supervisory system is developed using compositional methods and is
modelled and analysed using controlled Petri nets. It is shown that
using an appropriate coordination strategy it is possible to achieve
a stability envelope for the composite system which is greater than
that of the individual components.
Authors:
Ibrahim Haskara,
Ümit Özgüner,
Volume: 1, Page 2186 Paper number 94
Abstract:
In this paper, an observer based robust output tracking controller
design is proposed for a class of nonlinear systems which are input-output
linearizable. An ultimate boundedness analysis is presented for an
equivalent control based sliding observer where the estimation accuracy
is eventually expressed in terms of a single parameter. The observer
is incorporated into the closed loop to implement an ideal tracking
control law and a complete Lyapunov observer/controller synthesis is
performed to prove the ultimate boundedness of the tracking error.
Authors:
Giorgio Bartolini,
Elisabetta Punta,
Volume: 1, Page 2192 Paper number 1227
Abstract:
This paper deals with the control of mechanical systems subjected to
uncertainties and disturbances of various nature, including friction.
The proposed solution is based on sliding-mode control theory, which
has been shown to be highly effective in counteracting uncertainties
and disturbances for some classes of uncertain nonlinear systems. Specific
drawback presented by the classical sliding mode techniques is the
chattering phenomenon. This problem is addressed in the paper by exploiting
the robustness properties of second-order sliding-mode control algorithms.
An algorithm of this kind, recently developed by the authors, is proved
to be effective to stabilize, with arbitrarily exponentially fast transient,
mechanical systems subjected to static and Coulomb friction.
Authors:
Shuanghe Yu,
Xinghuo Yu,
Zhihong Man,
Volume: 1, Page 2198 Paper number 1374
Abstract:
A global terminal sliding mode controller is proposed for higher order
SISO nonlinear dynamic systems by employing the fast terminal sliding
mode concept in both the reaching phase and the sliding phase. The
inherent dynamical properties of the fast terminal sliding modes and
the recursive mechanism for application in higher order systems are
explored. A control design procedure is developed. It is shown that,
by suitably choosing the parameters of the fast terminal sliding modes,
the system state variables will reach the fast terminal sliding manifolds
within a desired finite time, and stay in the sliding modes thereafter,
resulting in the convergence to the equilibrium in a finite time which
can also be prespecified. The control law designed, which is called
"the global terminal sliding mode control", is nonlinear and continuous.
It does not cause chattering in the reaching phase and sliding phase.
The robustness analysis shows that the proposed global terminal sliding
mode controller has superior robustness in system uncertainties and
external disturbances. Simulation studies are presented to validate
the proposed scheme.
Authors:
Kyung-Soo Kim,
Youngjin Park,
Volume: 1, Page 2204 Paper number 1385
Abstract:
In this manuscript, a property of Lyapunov matrices is proposed and
its application to sliding mode design is addressed. It will be shown
that the sliding modes which guarantee the desired sliding behavior
can be obtained by manipulating Lyapunov matrices associated with the
full order systems. The proposed approach enables us to adopt a variety
of Lyapunov- (or Riccati-) based approaches for the sliding mode design.
Applications to uncertain systems, systems with uncertain state delay,
pole-clustering problems, multi-objective approach and etc. are discussed.
Authors:
Seung Kyu Park,
Ho Kyun Ahn,
Volume: 1, Page 2210 Paper number 9086
Abstract:
An advantage of the feedback linearization technique is to make linear
control theories can be used for nonlinear system. This advantage disappear
when the SMC is used with the feedback linearization for uncertain
nonlinear systems because the SMC can not be combined with a linear
controller. In this paper, by defining a novel sliding surface, it
is made possible that the feedback linearization technique, a linear
controller and the SMC are used together for uncertain nonlinear system
and the feedback linearization technique can have the robustness without
loosing its advantage. The novel sliding surface of the SMC can have
the dynamics of the nominal nonlinear system controlled by the feedback
linearization technique. The noble design of the sliding surface is
based on the augmented system whose dynamics have a higher order than
that of the original system. The reaching phase is removed by using
an initial virtual state which makes the initial sliding function equal
to zero
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