-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, the bounds of allowable parameter variations in the LQG regulator for fixed weighting matrices are obtained and the asymptotic properties of these bounds with respect to weighting matrices are analysed. It is shown that the guaranteed bounds of allowable parameter variations, which are independent of weighting matrices, are often small but not necessarily small under some conditions. It is also shown that under some conditions, the allowable bounds of the LQG regulator can become as large as those of the LQ regulator. In addition, a loop transfer recovery method for perturbed systems is derived under which the LQG regulator may possess the same robustness as the LQ regulator. Examples are given to validate these results.
International Journal of Robust and Nonlinear Control 03/2007; 1(1):33 - 42. · 1.55 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: In this note, a memoryless H<sup>∞</sup> controller for the
state delayed system is presented. The controller is a delay independent
stabilizer for the state delayed system, which also reduces the
H<sup>∞</sup> norm of the closed loop transfer function, from the
disturbance to the controlled output, to a prescribed level. The
controller can be obtained by solving a modified Riccati equation
IEEE Transactions on Automatic Control 02/1994; · 2.11 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: Two lower bounds for the trace of the solution of the discrete
algebraic Riccati equation (DARE) are presented. It is shown that in
many cases, these trace bounds are tighter than those in the literature
and greater than the trace of the state weighting matrix even when the
system matrix is singular. The results are illustrated by an example
IEEE Transactions on Automatic Control 03/1993; · 2.11 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: An extended generalized predictive control for stochastic space
models (EGPC/SM) and input/output models (EGPC/IM) is developed. EGPC
introduces a final output weighting horizon into the cost function of
GPC to improve the stability properties. It is shown that a special case
of EGPC/SM is equivalent to EGPC/IM and that EGPC/IM includes GPC as its
special case. Using the final output weighting horizon, solutions of
EGPC/SM and EGPC/IM which guarantee stability are proposed
Industrial Electronics, Control, Instrumentation, and Automation, 1992. Power Electronics and Motion Control., Proceedings of the 1992 International Conference on; 12/1992
-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, the delayed state feedback controller(DSFC) for linear multivarible ordinary systems is presented in which distributed delays are included in the feedback loop. Some specific methods to design this type of controller are suggested. It will be shown that, by the appropriate use of the time delay, the proposed delayed state feedback controller may possess some useful advantages of proportional, integral, and derivative actions. It will also shown that when the DSFC is composed of the LQ regulator gain added with distributed delay states, the property of the disturbance attenuation and the robustness against the parameter variations may be more improved than the popular LQ regulator for ordinary systems. Possibilities of the improvement of the time delay margin and the transient behavior are also discussed.
American Control Conference, 1989; 07/1989
-
[show abstract]
[hide abstract]
ABSTRACT: This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Riccati equation. The lower bound always works if the solution exists. The upper bounds are presented in terms of the solution of the discrete Lyapunov equation and its upper matrix bound. The upper bounds are always calculated if the solution of the Lyapunov equation exists. A numerical example shows that the new bounds are tighter than previous results in many cases.
Systems & Control Letters.
