Authors:
J. Q. Gong,
Bin Yao,
Volume: 1, Page 1882 Paper number 2176
Abstract:
In this paper, a class of saturated adaptive robust control (SARC)
laws are developed for nonlinear systems in the ``chain-of-integrator''
form with both parametric uncertainties and non-repeatable uncertainties.
A guaranteed transient performance and final tracking accuracy is achieved
in general. Furthermore, asymptotic output tracking is also achievable
provided that the system undergoes parametric uncertainties only. Discontinuous
projection method is used in the adaptation law for a controlled learning.
Given the saturation limits of control authority, certain criteria
are obtained to predict the achievable high-performance working range
of the closed-loop system by taking into account the order of system,
the bounds of both parametric uncertainties and non-repeatable nonlinearities,
and the required performance, such as reaching time. At the same time,
these criteria can also be used in the trajectory planning to obtain
realizable desired trajectories. Consequently, an integrated design
of achievable desired trajectory and control law is achieved. The proposed
SARC is then applied to the control of a linear motor drive system,
and excellent output tracking performance is obtained in experiments.
Authors:
Michele Basso,
Roberto Genesio,
Alberto Tesi,
Volume: 1, Page 1888 Paper number 2058
Abstract:
Delayed feedback controllers are an appealing tool for the stabilization
of periodic orbits in nonlinear systems. Unfortunately, their inherent
infinite dimensional structure prevents from the definition of reliable
design procedures. This paper considers the use of finite dimensional
linear time invariant controllers for the stabilization of periodic
solutions in a general class of sinusoidally forced nonlinear systems.
Such controllers -- which can be interpreted as rational approximations
of the delayed ones -- provide an LMI-based synthesis technique, by
mixing results concerning absolute stability of nonlinear systems and
robustness of uncertain linear systems. In particular, the synthesis
algorithm is able to select the controller maximizing a lower bound
of the maximum amplitude of the forcing input, for which the corresponding
periodic solutions are guaranteed to be stable. A single-mode CO2 laser
is employed to illustrate the main features of the developed synthesis
technique.
Authors:
Wilfrid Perruquetti,
Serguey Drakunov,
Volume: 1, Page 1894 Paper number 1629
Abstract:
In this paper, finite time stability and stabilization are investigated
for systems described by ordinary differential equations (ODE) or differential
inclusions: some sufficient conditions are given for scalar and n-dimensional
cases. Then, a stabilization result for i/o linearizable systems is
derived from these results.
Authors:
Jörg Mareczek,
Martin Buss,
Günther Schmidt,
Volume: 1, Page 1900 Paper number 1421
Abstract:
This paper addresses control of nonlinear, control input affine systems
coupled with a controllable linear subsystem via state and control
variables. The proposed method of Invariance Control achieves positive
invariance of a state space region and exponential stability of the
linear subsystem. A design method for a switching controller and sufficient
conditions for positive invariance are presented. The proposed theory
is illustrated by simulations of a non-minimum phase system with partly
stable zero-dynamics.
Authors:
Zhendong Sun,
Shuzhi Sam Ge,
Wei Huo,
Tong-Heng Lee,
Volume: 1, Page 1906 Paper number 1175
Abstract:
This paper addresses the problem of feedback stabilization of nonholonomic
chained systems within the framework of nonregular feedback linearization.
Firstly, the nonsmooth version of nonregular feedback linearization
is formulated, and a criterion for nonregular feedback linearization
is provided. Then, it is proved that a chained form is linearizable
via nonregular feedback control, thus enable us to design feedback
control laws using standard techniques for linear systems. The obtained
discontinuous control laws guarantee convergence of the closed-loop
system with exponential rates. Finally, simulation results are presented
to show the effectiveness of the approach.
Authors:
Yu-Ping Tian,
Shihua Li,
Volume: 1, Page 1912 Paper number 1054
Abstract:
The problem of global exponential stabilization of a class of nonholonomic
systems via smooth time-varying control is addressed. It is shown that
smooth aperiodic time-varying controls for globally exponentially stabilizing
a nonholonomic system can be easily synthesized if the system is augmented
with some auxiliary state(s). The proposed method proves to be effective
for a wide class of nonholonomic systems including the chained form
system, multiple chained form system, power form system, Brockett system,
etc. Simulation examples are introduced to demonstrate the effectiveness
of the method.
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