Authors:
Christopher Edwards,
Sarah K. Spurgeon,
Ashu Akoachere,
Volume: 1, Page 1673 Paper number 3701
Abstract:
This paper considers a framework for sliding mode control design. Linear
Matrix Inequality (LMI) based techniques are used to design the output
dependent switching surface and to determine a control law to effect
a sliding motion. The reachability condition is not required to be
satisfied globally. Instead sliding is only expected to take place
within a subset of the state-space referred to as the sliding patch.
The LMI optimisation seeks to maximise the sliding patch subject to
certain constraints. The efficacy of the proposed control design method
is demonstrated on a non-trivial design example - an aircraft system
representation which includes the flexible modes of the airframe.
Authors:
Josue Enríquez-Zárate,
Gerardo Silva-Navarro,
Hebertt Sira-Ramírez,
Volume: 1, Page 1679 Paper number 3702
Abstract:
In this paper the differential flatness property and a sliding mode
controller are applied to a vibrating mechanical system in order to
achieve asymptotic output tracking and disturbance attenuation. The
mechanical system consists of two masses connected with springs. The
output to be controlled is the position of the underactuated mass,
which is directly affected by an undesirable vibration (harmonic force
with variable excitation frequency). The active vibration control scheme
exploits the differential flatness property during the control design,
employing only position measurements and approximate time differentiation,
and is dynamically able to track an off-line planned trajectory in
spite of small disturbances. The overall system performance is validated
by some numerical simulations and experimental results in a physical
platform.
Authors:
Yaodong Pan,
Katsuhisa Furuta,
Satoshi Suzuki,
Shoshiro Hatakeyama,
Volume: 1, Page 1685 Paper number 3703
Abstract:
The Variable Structure Control (VSC) system has been mainly considered
for continuous-time systems in the form of sliding mode. In this paper
instead of sliding mode, we will design a generalized sliding sector,
which is a subset around a hyperplane s(x) = 0 and bounded by two surfaces
s^2(x) = (delta)^2(x), where s(x) = 0 is a sliding mode which is designed
such that the reduced order system in the sliding mode is stable, (delta)(x,t)
is a positive function on x and t. With the generalized sliding sector,
a VS control law is designed to ensure that the state moves into the
generalized sliding sector in a finite time and some Lyapunov function
keeps decreasing in the state space. Therefore the proposed VS control
system is quadratic stable. We take a rotational inverted pendulum
apparatus to evaluate the proposed VS control algorithm. With the proposed
VS control method, the control performance is satisfactory and no chattering
happens because the VS control law proposed in the paper is smooth
and its gain becomes smaller when the state is inside the generalized
sliding sector.
Authors:
Thierry Floquet,
Jean-Pierre Barbot,
Wilfrid Perruquetti,
Volume: 1, Page 1691 Paper number 3704
Abstract:
In the following paper, an output feedback tracking problem is solved
for the asynchronous motor. The control is a second order sliding mode
one whereas the observer is a first order based one. This output feedback
has been implemented on an experimental set-up dedicated to horizontal
handling and the experimental results are given in this paper.
Authors:
Giorgio Bartolini,
Nicola Orani,
Alessandro Pisano,
Elio Usai,
Volume: 1, Page 1697 Paper number 3705
Abstract:
Moving a suspended load is not an easy task when strict specifications
on the swing angle and on the transfer time need to be satisfied. Nevertheless,
these type of requirements are always present in industry because they
are related to operation safety and cost. Intuitively, minimizing the
cycle time and the load swing are conflicting requirements, and their
satisfaction requires proper control actions, especially if some uncertainties
in the system dynamics are present. In this paper we propose a simple
control scheme based on second order sliding modes, which is proved
to be effective also in the case of poor knowledge of the system dynamics
and/or parameters. Such controller has been tested on a laboratory-size
model of an overhead crane by means of commercial devices, and some
experimental results are reported within the paper.
Authors:
Arie Levant,
Volume: 1, Page 1703 Paper number 3706
Abstract:
Sliding modes describe motions on discontinuity sets of dynamic systems
and are provided by a persistent system switching with theoretically
infinite frequency. The standard sliding modes are applicable to control
output variables with relative degree 1. Having preserved or generalized
the main properties of standard sliding mode, higher order sliding
modes (HOSM) may be applied with any relative degree and, when properly
used, totally remove the chattering effect. That allows full real-time
control of the output variables, when only the relative degree of the
dynamic system is known, and the system is actually considered as a
"black box". The HOSM controllers being based on the use of real-time
higher-order output derivatives, robust exact differentiation becomes
the key problem of the HOSM theory. Fortunately, the HOSM technique
may also be applied to solve the differentiation problem. Differentiation
usage in HOSM control is demonstrated by computer simulation of model
and real-life examples.
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