Authors:
Jenq-Tzong H. Chan,
Volume: 1, Page 3670 Paper number 1022
Abstract:
This paper presents a general formulation for the realization of a
linear state feedback system using output feedback. The proposed formulation
can be applied to any linear state feedback design, provided that an
observable output signal is available. We will show that scalar output
is sufficient to achieve the realization, even in the case of MIMO
state feedback systems. In addition, the proposed output feedback formulation
achieves the same closed-loop response as a state feedback system,
even when a non-relaxed initial state is involved. We present both
discrete-time and continuous-time formulations for the proposed method.
Authors:
Guang-Hong Yang,
Jian Liang Wang,
Volume: 1, Page 3676 Paper number 1334
Abstract:
This paper is concerned with the problem of designing suboptimal H_2
(LQ, H_(infinity)) static output feedback control for linear time-invariant
systems. Necessary and sufficient conditions for the solvability of
the problem under consideration are presented in terms of a set of
matrix inequalities. An iterative LMI algorithm is given to obtain
the solution, which is illustrated by examples.
Authors:
Giuseppe Franzé,
Pietro Maria Muraca,
Nicola Salerno,
Volume: 1, Page 3682 Paper number 9085
Abstract:
This preliminary work studies the pole placement problem by static
output feedback for linear time-invariant multivariable systems by
considering the minimization of the control effort. The main tool for
this analysis is an explicit and parametric expression of output feedback
matrix. The minimization of the control effort is performed by a genetic
optimization algorithm based on the value of the performance index.
Authors:
Stoyan Kanev,
Michel Verhaegen,
Volume: 1, Page 3684 Paper number 1115
Abstract:
In this paper an approach for controller reconfiguration is presented.
The starting point in the analysis is a sufficiently accurate continuous
linear time-invariant (LTI) model of the nominal system. Based on a
bank of reconfigurable LQG controllers, each designed for a particular
combination of total faults, the reconfiguration consists in two operation
modes. In the first mode a switching is invoked towards one of the
pre-designed LQG controllers on the basis of the information about
only the combination of total faults that is in effect. In the second
mode, which is activated in cases of partial and component faults,
a dynamic correction procedure is initiated which tries to reconfigure
the currently active controller in such a way, that the failed closed-loop
system remains stable and its performance is as close as possible to
the performance of the closed-loop system with only total faults present
in the system. In cases of partial faults the second mode is practically
an extension of the modified pseudo-inverse method. In cases of component
faults the second mode is based on an LMI optimization problem. The
approach is illustrated using a model of a real-life space robot manipulator,
in which total, partial and component faults are simulated.
Authors:
Yong-Yan Cao,
James Lam,
You-Xian Sun,
Volume: 1, Page 3690 Paper number 1135
Abstract:
This paper is concerned with simultaneous LQ optimal control design
for discrete-time and sampled-data systems. First it is shown that
discrete-time simultaneous LQ design problem of a set of discrete-time
systems can be reduced to solving a set of coupled matrix inequalities.
An iterative LMI algorithm is presented to solve the feasibility and
the feedback gain. Then simultaneous stabilization and simultaneous
LQ optimal control of a set of LTI continuous-time systems is considered
via piecewise constant output feedback. It is shown that the design
of a periodic piecewise constant feedback gain simultaneously minimizing
a set of given continuous-time performance indexes for a set of LTI
continuous-time systems can be reduced to that of a constant feedback
gain minimizing a set of equivalent discrete-time performance indexes
for a set of LTI discrete-time systems. Explicit algorithms for computing
the equivalent discrete-time systems and performance indexes are derived.
Examples are used to demonstrate the effectiveness of the proposed
method.
Authors:
Hua Xu,
Hiroaki Mukaidani,
Volume: 1, Page 3696 Paper number 32
Abstract:
The linear quadratic zero-sum dynamic game for discrete time descriptor
systems is considered. A method, which involves solving a linear quadratic
zero-sum dynamic game for a reduced-order discrete time state space
system, is developed to find the linear feedback saddle-point solutions
of the problem. Checkable conditions, which are described in terms
of two dual algebraic Riccati equations and a Hamiltonian matrix, are
given such that the linear quadratic zero-sum dynamic game for a reduced-order
discrete time state space system is available. Sufficient conditions
for the existence of the solutions are obtained.
Authors:
Ching-An Lin,
A. Nazli Gündes;,
Volume: 1, Page 3702 Paper number 98
Abstract:
The design of MIMO PI controller is formulated as an LQR problem. The
weighting matrices of the quadratic performance index are chosen so
that tuning can be done for each input-output channel and for tradeoff
between transient response and robustness with respect to modeling
error. The number of tuning parameters is the same as that of a decentralized
PI controller. A design example is given to demonstrate the feasibility
of the proposed approach.
|