In this paper, a new robust stability condition is derived for uncertain discrete-time linear systems with convex polytopic uncertainties. The condition is expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine robust stability of uncertain systems easily by solving some LMIs. A rigorous proof is given to s...

In this paper we provide algorithms based on Linear Matrix Inequalities for the design of fullauthority and external linear anti-windup compensators of reduced order guaranteeing finite global L2 gain. Previous results showed that the reduced order anti-windup design problem is non-convex. We propose here a convex approximation of the non-convex constraints leading to constructive design algori...

Observer-based stabilisation of linear systems with parameter uncertainties by using enhanced LMI conditions Houria Kheloufi, Fazia Bedouhene, Ali Zemouche & Angelo Alessandri a Department of Mathematics, Laboratoire de Mathématiques Pures et Appliquées, University Mouloud Mammeri, Tizi-Ouzou, BP No. 17 RP 15000, Algeria b Department of Automatic, University of Lorraine, 186, rue de Lorraine, C...

A method is proposed for studying robust stability of uncertain linear systems subject to actuator saturation. It hinges upon successive LMI relaxations and therefore can readily be implemented using widely available numerical tools. The technique is illustrated on two examples and is shown to signiicantly improve previously published results.

abstract. the main contribution of the current paper is to propose a new effective numerical method for solving the first-order linear matrix differential equations. properties of the legendre basis operational matrix of integration together with a collocation method are applied to reduce the problem to a coupled linear matrix equations. afterwards, an iterative algorithm is examined for solvin...

In the last decade, the Jensen’s inequality has been intensively used in the context of time-delay or sampled-data systems since it is an appropriate tool to obtain tractable stability conditions expressed in terms linear matrix inequalities (LMI). However, it is also well-known that this inequality unavoidably introduces an undesirable conservatism in the stability conditions and looking at th...

The paper deals with gender differences in achievement motivation of university students as well as searches for specific aspects of personality that participate in achievement motivation. At the same time it presents an overview of the number of differences found out by means of LMI methodology.

The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded ga...