Authors:
Ali J. Koshkouei,
Alan S.I. Zinober,
Volume: 1, Page 4765 Paper number 1917
Abstract:
This paper considers control design using an adaptive backstepping
algorithm for a class of nonlinear continuous uncertain processes with
disturbances which can be converted to a parametric semi-strict feedback
form. Sliding mode control using a combined adaptive backstepping sliding
mode control (SMC) algorithm is also studied. The algorithm follows
a systematic procedure for the design of adaptive control laws for
the output of observable minimum phase nonlinear systems with matched
and unmatched uncertainty. An existing sufficient condition for sliding
is not needed by the new algorithm.
Authors:
Eric Bullinger,
Frank Allgöwer,
Volume: 1, Page 4771 Paper number 2108
Abstract:
Previous results for adaptive (lambda)-tracker have focused on nonlinear
systems with relative degree one or on linear systems with higher relative
degree. In this paper we extend the adaptive (lambda)-tracker to (lambda)-stabilize
nonlinear system with higher relative degree. Only little structural
information about the system to be controlled is needed. (lambda)-stability
and convergence of the adaptation is proven for tracking a large class
of reference trajectories. The design of the controller is very simple
and intuitive, only few parameters have to be tuned.
Authors:
Dejan M. Bosković,
Miroslav Krstić,
Volume: 1, Page 4777 Paper number 1387
Abstract:
A nonlinear feedback control law that achieves global asymptotic stabilization
of a 2D thermal convection loop is presented. The objective is to stabilize
the unstable no-motion steady state using boundary control of velocity
and temperature on the outer cylinder. Using backstepping design we
obtain a discretized coordinate transformation that transforms the
original coupled system into two uncoupled systems that are asymptotically
stable in l^2-norm with homogeneous Dirichlet boundary conditions.
Using the property that the discretized coordinate transformation is
smoothly invertible for an arbitrary (finite) grid choice, we conclude
that the discretized version of the original system is globally asymptotically
stable and obtain nonlinear feedback boundary control laws in the original
set of coordinates. Numerical results show that the feedback control
law designed on a very coarse grid can successfully stabilize the system
for a very wide range of the Rayleigh number.
Authors:
Xuejun Wang,
Stephen S.T. Yau,
Jie Huang,
Volume: 1, Page 4783 Paper number 1555
Abstract:
A second-order dynamics, Tracking-Differentiator, is given to generate
smooth approximation of the incoming measurement and its derivative,
which can be used as the desired trajectory for the control system.
Authors:
Frédéric Grognard,
Rodolphe Sepulchre,
Georges Bastin,
Volume: 1, Page 4785 Paper number 1916
Abstract:
A gain scheduling based on a one-parameter family of Lyapunov functions
is presented for the control of linear systems with affine constraints.
The tuning of the parameter in the control law is assumed to result
from a trade-off between the size of the state-space domain where the
constraints are satisfied and the closed-loop performance. A target
controller is chosen for local performance in this family. The proposed
online scheduling is aimed at reaching the target controller in the
fastest possible way, while guaranteeing satisfaction of the constraints
along closed-loop solutions.
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