A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

International Journal of Control

2009

This article considers the problem of control synthesis via state feedback for linear time-delay systems with design specifications in finite frequency ranges. First, a finite frequency performance analysis condition for time-delay systems is presented. Then, a resulting state feedback control synthesis condition is given in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, the design procedure and the effectiveness of the proposed method are illustrated via a numerical design example.

Section: Introductionmentioning

confidence: 99%

Control synthesis via state feedback with finite frequency specifications for time-delay systems

International Journal of Control

2009

“…The generalized Kalman-Yakubovic-Popov (GKYP) lemma (see, e.g., [1][2][3][4][5]) is capable of directly treating frequency domain inequalities (FDIs) in finite frequency ranges. As a matter of fact, design specifications are often given for the entire frequency range as well as for a certain frequency range of relevance.…”

Section: Introductionmentioning

confidence: 99%

Mixed frequency small gain state feedback control with application to insulin pumps

Int. J. Control Autom. Syst.

2009

This paper considers the state feedback control synthesis problem for linear continuous-time systems with small gain specifications in mixed frequency ranges. A new method for designing the state feedback controllers is developed in the framework of linear matrix inequality (LMI) approach. Finally, the effectiveness of the proposed method in comparison with the available result is illustrated via an application to insulin pumps.

“…Recently, the generalized Kalman-Yakubovic-Popov (GKYP) lemma has been proven to be a powerful tool to treat FDIs in finite frequency ranges for systems without time-delay; see, e.g. [13][14][15][16], and the references therein, but it cannot deal with the time-delay case. Hence, it is worth studying the control problems with performance requirements in finite frequency domains for time-delay systems.This paper is concerned with the problem of performance analysis for linear continuous-time multi-delay systems in finite frequency domains.…”

mentioning

confidence: 99%

Performance analysis for multi‐delay systems in finite frequency domains

Intl J Robust & Nonlinear

2011

SUMMARY This paper considers the problem of performance analysis for continuous‐time multi‐delay systems in finite frequency domains. Unlike the existing results about the performance analysis for time‐delay systems in the entire frequency range, this study is focused on examining the performances of time‐delay systems in finite frequency ranges. Based on a further generalization of the strict S‐procedure, a delay‐dependent sufficient condition for systems to satisfy performances in finite frequency intervals is developed in the framework of linear matrix inequality approach. Finally, the effectiveness of the proposed method is illustrated via some numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.