In this paper, we consider the problem for singular systems with state delay. We mainly focus on the problems of absolute delay-dependent stability using the Lyapunov function method and give sufficient conditions in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the application of the proposed method. References [1] Izumi Masubuchi, ∞ H control for descript...

This paper examines the problem of designing robust H∞ controllers for for HIV/AIDS infection system with dual drug dosages described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an H∞ controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for the s...

In this paper we consider discrete-time, linear stochastic systems with random state and input matrices which are subject to stochastic disturbances and controlled by dynamic output feedback. The aim is to develop an H 1-type theory for such systems. For this class of systems a Stochastic Bounded Real Lemma is derived which provides the basis for a Linear Matrix Inequality (LMI) approach simila...

The focus of the research is on the design of a decentralized output feedback controller for a class of large-scale systems using linear matrix inequalities (LMI). The class of large-scale systems is characterized by unmatched nonlinear interconnection functions that are uncertain but quadratically bounded in the overall system state. An elegant LMI solution to the problem is provided in (Silja...

A framework for synthesis of stabilizing PID controllers for linear timeinvariant systems using Hermite-Biehler Theorem is presented. The approach is based on the analytical characterization of the roots of the characteristic polynomial. Generalized Hermite-Biehler Theorem from functional analysis is used to derive stability results, leading to necessary and sufficient conditions for the existe...

The design of a feedforward compensator for robust H1 or H2 performance under structured uncertainty is considered. For linear time-invariant uncertainty, a convex method based on linear matrix inequalities (LMI’s) across the frequency variable is given. For nonlinear or time-varying perturbations and H1 performance, the design problem is reduced exactly to a state-space LMI, and extensions to ...

Stability analysis of linear systems with time-varying delay is investigated. In order to highlight the relations between the variation of the delay and the states, redundant equations are introduced to construct a new modeling of the delay system. New types of Lyapunov Krasovskii functionals are then proposed allowing to reduce the conservatism of the stability criterion. Delay dependent stabi...

Robust pole placement in a LMI region for Takagi-Sugeno (Takagi & Sugeno 1985) fuzzy models is presented. The objective is to find a set of Linear Matrix Inequalities in order to ensure that the linear models poles remain in a specified region of the complex plane, even in presence of model uncertainties. As an illustration, the obtained conditions are applied to the spacing policy control of a...

Abstract— This paper addresses the H2 output-feedback control of Markov Jump Linear Systems (MJLS) in continuoustime through Linear Matrix Inequalities (LMIs). We derive new sufficient LMI conditions for the case with completely known transition rates which are affine with respect to these parameters. Then, we treat the case where transition rates are considered uncertain, but belong to a given...

This paper concerns the use of the finite signalto-noise (FSN) model to design a state estimator. First, the sufficient conditions for the existence of the state estimator are provided. These conditions are expressed in terms of linear matrix inequalities (LMIs) and the parametrization of all the solutions is provided. Then an LMI based estimator design is addressed and the algorithm to solve t...