Authors:
Hebertt Sira-Ramírez,
Volume: 1, Page 4042 Paper number 1070
Abstract:
An approximate linearization scheme, in combination with a suitable
off-line trajectory planning, is proposed for the equilibrium to equilibrium
regulation of the popular ``ball and the beam" system. An exact nominal
trajectory is found by solving a discontinuous nonlinear differential
equation. Since this does not allow for nominal torque input calculations,
then an approximate nominal trajectory is found based on the flat approximation
to the system. We proceed to use approximate linearization of the full,
non-flat, system and find the resulting time-varying linear system
on which a state feedback and output feedback controllers are developed
using recently published controller design techniques based on Hardy
field considerations. The results are illustrated by means of digital
computer simulations.
Authors:
Panagiotis Tsiotras,
Brian Wilson,
Robert Bartlett,
Volume: 1, Page 4048 Paper number 1969
Abstract:
Zero-bias or low-bias control of AMB's is essential for the design
of magnetic bearings with low power losses. This paper investigates
the use of control Lyapunov functions (clf's) to solve the problem
of global asymptotic stabilization for a zero-bias Active Magnetic
Bearing (AMB). We use the cascade structure of the system to derive
a clf for the AMB model which is then used to derive a stabilizing
control law. This control law is designed so that the closed-loop system
is homogeneous of degree with respect to a certain dilation. Simulation
results are provided to evaluate the proposed control design.
Authors:
Jacquelien M.A. Scherpen,
Dimitri Jeltsema,
J. Ben Klaassens,
Volume: 1, Page 4054 Paper number 1216
Abstract:
In this paper a method is presented to build an Euler-Lagrange model
for electrical networks, including switches and integrated (non-ideal)
coupled-magnetics, in a structured general way. One of the advantages
of emphasizing the physical structure of these systems is its functionality
during the controller design stage. In case a switching network contains
coupled-inductor structures, an additional path for the energy transfer
is introduced. For this reason, a basic building block is proposed
that describes the dynamical behaviour of a pair of magnetically coupled-inductors.
This building block is applicable to all types of switching converters,
and easily predicts the existence of reduced or zero-ripple current.
For using the Lagrangian structure for controller design, the zero-dynamics
for such switching network has to be studied. It is shown that under
certain coupling conditions it will not be possible to design a globally
stable controller. The approach is illustrated by means of the coupled-inductor
Cuk converter with zero-output ripple, in closed loop with an adaptive
passivity-based controller.
Authors:
Mattias Nordin,
Per-Olof Gutman,
Volume: 1, Page 4060 Paper number 2076
Abstract:
Backlash in elastic systems is one of the most important non-linearities
that limits the performance of speed control in industrial drives.
In this work a new robust non-linear speed controller for such system
is proposed. Two linear controllers are designed, one globally stable
with reduced performance, and one with high performance exhibiting
limit cycles around the backlash. The two controllers are combined
into one high performance, stable non-linear controller with soft switching.
The advantage of the new controller is shown with simulations and measurements
on a large real life drive system.
Authors:
Daniel C. Deckler,
Robert J. Veillette,
Minel J. Braun,
Fred K. Choy,
Volume: 1, Page 4066 Paper number 9707
Abstract:
This paper introduces the application of a linear-quadratic regulator
to a controllable tilting-pad bearing system to reduce the vibration
in a rotating machine. This application first requires a nonlinear
transient simulation of the bearing to determine the stiffness and
damping coefficients associated with each pad of the bearing at a given
equilibrium position. The stiffness and damping coefficients are incorporated
into a linear state-variable model, and a state-feedback control law
is computed to minimize a quadratic performance index. The performance
index parameters are adjusted to produce a suitably regulated shaft
orbit in the nonlinear simulation. The results stand as a significant
step toward the application of feedback control to an experimental
bearing system.
Authors:
Joaquin Alvarez,
Domingo Cortés,
Jaime Alvarez-Gallegos,
Volume: 1, Page 4072 Paper number 1521
Abstract:
It is shown how a very simple procedure of time reversal can solve,
in a much easier way than other techniques, an important problem arising
in some control strategies of two conventional DC-to-DC switched power
converters used to generate an alternate voltage signal: the boost
and the buck-boost circuits. This problem is related to the non-minimum
phase nature of the capacitor voltage normally used as output in these
devices, which compels to control indirectly this variable by controlling
the inductor current. A stable model that generates an adequate reference
for this signal is proposed, which can be used in-line or in batch
mode. The procedure is illustrated by numerical simulations using a
sliding mode controller proposed elsewhere.
Authors:
Emerson Giovani Carati,
Carlos Mendes Ritcher,
Hilton Abílio Gründling,
Volume: 1, Page 4078 Paper number 1979
Abstract:
This paper presents the development of an equilibrated three-phase
power source, which is able to generate sinusoidal waveforms with adjustable
amplitudes and frequencies, as well as several arbitrary waveforms.
The setup is based on a computer-controlled three-phase PWM inverter
system, which model is rewritten using ab0 transformation. A robust
model reference adaptive controller (RMRAC) is used to assure system
robustness and performance. Simulation and experimental results are
used to show the closed-loop system performance, when different waveforms
are generated under several operation conditions.
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