Authors:
Yun-Ping Huang,
Kemin Zhou,
Volume: 1, Page 1509 Paper number 2106
Abstract:
The paper considers the robust stability and robust performance of
uncertain delay systems subject to possibly structured uncertainties
using structured singular values with phase information. Computationally
efficient sufficient conditions for robust stability and performance
problem are derived.
Authors:
Peng Shi,
El-Kébir Boukas,
Ramesh K. Agarwal,
Volume: 1, Page 1515 Paper number 1796
Abstract:
In this paper we study the problem of H_(infinity) control of singular
linear continuous-time systems with parametric uncertainty. The system
under consideration is subjected to time-delay in both state and control,
and norm-bounded parametric uncertainty entering all matrices of the
system and output equations. First, the problem of robust stabilization
of the underlying system is investigated. Next, we address the problem
of robust H_(infinity) state feedback control in which both robust
stability and a prescribed H_(infinity) performance are required to
be achieved irrespective of the uncertainty and time-delay. It is shown
that the above control problem can be solved if a Riccati-like inequality
has a symmetric positive definite solution.
Authors:
El-Kébir Boukas,
Z.K. Liu,
G.X. Liu,
Volume: 1, Page 1521 Paper number 1336
Abstract:
This paper considers the class of continuous-time jump linear system
with time-delay and polytopic uncertain parameters. When the time-delay
is a known constant, by using the linear matrix inequality (LMI) technique,
we first establish delay dependent sufficient condition for robust
stability and robust H_(infinity) control of the class of systems under
study. The problem of determining the maximum time-delay under which
the system will remain stable is cast into a generalized eigenvalue
problem and thus solved by LMI techniques. When the control input
contains time-delay, an algorithm to design state feedback controller
with constant gain matrix is developed.
Authors:
El-Kébir Boukas,
Z.K. Liu,
Volume: 1, Page 1527 Paper number 9303
Abstract:
This paper considers the class of discrete-time jump linear system
with time-delay and polytopic uncertain parameters. The problems
of delay-independent robust stability, stabilization and H_(infinity)
control are cast into the framework of linear matrix inequality
(LMI) and thus solved by LMI Toolbox of Matlab. By using the supplementary
technique, the system with time-delay is converted into a higher dimension
Markov system without time-delay, and thus can be handled as a standard
jump linear system with uncertain parameters.
Authors:
Janos Turi,
Volume: 1, Page 1533 Paper number 9706
Abstract:
Abstract: We consider the robustness of stability under delay perturbations
in a class of linear delay systems and obtain an equation dependent
norm bound on allowable perturbations. We apply this bound to get estimates
on sampling intervals in the stabilization of hybrid systems with feedback
delays.
Authors:
Mao-Lin Ni,
Meng Joo Er,
William E. Leithead,
Douglas J. Leith,
Volume: 1, Page 1539 Paper number 1255
Abstract:
A new procedure for determining robust tracking control laws for a
class of linear uncertain time-delay systems is presented in this paper.
The system is controlled to track a dynamic input generated from a
reference model. In the case that the system uncertainties satisfy
the generalized matching conditions, by using the proposed linear controller,
the ultimate bound of the tracking error can be made arbitrarily small
and, therefore, the system practically tracks the reference model.
In the case of mismatched uncertainties, we present a sufficient condition
such that the designed controller guarantees ultimate boundedness of
the tracking error. Compared with the existing results, our approach
admits much larger system uncertainties in the control matrix. Numerical
examples also show that the resultant linear robust tracking controllers
are less conservative.
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