The stabilization of uncertain discrete-time linear systems with both saturating actuators and time-varying delays is addressed in this paper. Based on a novel Lyapunov function combined with LMI (Linear Matrix Inequality) techniques, sufficient conditions are developed to guarantee robust stabilization. A state feedback control law and the associated stability region are simultaneously determi...

In this paper, the robust observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for systems is studied and the convergence rate of system is given. Linear matrix inequality (LMI) approach is used to design the feedback control. The control and observer gains are given from the LMI formulations. A numerical example is given to illustrate our re...

Linear quadratic regulator (LQR) with trajectory sensitivity minimization and structurally constrained controller was formulated in [2] and [4]. In these works, a gradient search method, which is a particular type of nonlinear programming, was used to solve the problem. In this paper, we propose a linear matrix inequality (LMI)-based method for the problem. This LMI is formulated with block-dia...

This paper presents a methodology for the design of proportional-derivativetype anti-windup compensators (PDAWCs) for linear time-invariant systems with input and output saturation nonlinearities. A linear matrix inequality (LMI) condition for a closed-loop control system representation is given to take into account the nonlinearities and disturbance. A PDAWC is designed by solving the LMI prob...

This paper considers the problem of local reliable control for continuous-time linear systems with saturating actuators and disturbance. The local stability and the performance of the designed closed-loop system is guaranteed not only when all control components are operational, but also in case of actuator outages in the preselected subset of actuators. Linear matrix inequality (LMI) method an...

Abstract Power systems are subject to undesirable small oscillations that might grow to cause system shutdown and consequently great loss of national economy. The present manuscript proposes two designs for observer-based robust power system stabilizer (PSS) using Linear Matrix Inequality (LMI) approach to damp such oscillations. A model to describe power system dynamics for different loads is ...

Using an LMI (linear matrix inequality) optimization approach, a stability criterion is obtained for the local stability of the positive equilibrium of a Lotka–Volterra system with delays. © 2004 Elsevier Ltd. All rights reserved.

A linear matrix inequality (LMI) based criterion for the global asymptotic stability of discrete-time systems with multiple state-delays employing saturation nonlinearities is presented. Numerical examples highlighting the effectiveness of the proposed criterion are given.

RÉSUMÉ. Cet article présente une approche de résolution des problèmes d’optimisation multicritères basant su l’outil LMI. Notre objectif est de chercher un contrôleur stabilisant le système avec des contraintes fréquentielles et/ou temporelles. Cette conception est fondée sur la paramétrisation de Youla; cette paramétrisation est basée sur un contrôleur initial défini par la combinaison convexe...

Sufficient linear matrix inequality LMI conditions to verify the robust stability and to design robust state feedback gains for the class of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented. The conditions are obtained through parameter-dependent Lyapunov-Krasovskii functionals and use some extra variables, which yield less conservative LMI conditio...