A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result based on a parameter-dependent Lyapunov function obtained from the feasibility test set matrix inequalities (LMIs) defined at vertices polytope. This improved LMI encompasses previous results additional inequalities, as well extra variables.

Linear matrix inequality conditions are given for the existence of a stabilising linear parameter dependent state feedback gain continuous time-varying systems in convex polytopic domains. Although there exist several results dealing with this problem literature, up to now all approaches assume that some matrices describing system must be constant and/or satisfy structural constraints. Here, assumed affected by uncertainties and no The strategy proposed is much simpler than standard...

We address the problem of robust input-to-state stabilization parameter-varying discrete-time systems with time-varying state delay, saturating actuators, and subject to ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -limited disturbance. It is assumed that delay belongs a known interval its maximum variation between two consecutive instants taken into account. The proposed convex delay-dependent conditions for synthesis feedback...

This letter deals with the local stabilization of continuous-time Takagi-Sugeno (T-S) systems under saturated actuators and driven by sampled-data controllers. The generalized sector condition is used to cope signals closed-loop dynamics rewritten as a T-S system input time-varying delays. Then, selecting convenient Lyapunov-Krasovskii Functional application some useful overbounding techniques, new LMI-based conditions are proposed for design Parallel-Distributed-Compensation controllers,...

This paper addresses the problems of stabilization and H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control by means state feedback parameter-dependent gains applied to discrete-time linear systems whose matrices are affected arbitrarily time-varying parameters belonging a polytope. The solution proposed design conditions, written as finite set matrix inequalities at polytope vertices, allows obtain gain (i.e. scheduled controller)...

Sufficient linear matrix inequality (LMI) conditions to verify the robust stability and design state feedback gains for class of discrete‐time systems with time‐varying delay polytopic uncertainties are presented. The obtained through parameter‐dependent Lyapunov‐Krasovskii functionals use some extra variables, which yield less conservative LMI conditions. Both problems, analysis synthesis, formulated as convex problems where all system matrices can be affected by uncertainty. Some numerical...

A convex condition in terms of linear matrix inequalities (LMIs) is developed for the synthesis stabilizing fuzzy state feedback controllers nonlinear discrete-time systems with time-varying delays. Takagi-Sugeno (T-S) model used to represent exactly system a restricted domain space, called region validity. The proposed stabilization based on Lyapunov-Krasovskii (L-K) function and it takes into account validity determine set initial conditions which actual closed-loop trajectories are...

This paper is concerned with the robust stabilization by state feedback of a linear discrete-time system time-varying uncertain parameters. An optimization problem involving set matrix inequalities and scaling parameters provides both gain piecewise Lyapunov function used to ensure closed-loop stability. In case systems convex combination two matrices, only constrained into interval [0, 1] are needed, allowing simple numerical solution as illustrated means examples.

The problems of stability and stabilizability discrete-time switched linear systems whose subsystems are subject to state delays investigated in this paper using matrix inequalities. conditions, based on a Lyapunov-Krasovskii functional, assure the system for arbitrary switching functions, irrespective value time-delay. function is assumed not known priori but available real time, as well delayed vectors supposed feedback, time-delay considered unknown unbounded. proposed conditions can...

This study presents new robust linear matrix inequality (LMI) conditions for ℋ ∞ full‐order filter design of discrete‐time systems affected by time‐invariant uncertainty and a time‐varying state delay. Thanks to the use larger number slack variables, proposed LMI contain generalise other results from literature. relaxations based on homogeneous polynomial matrices arbitrary degree are used determine state‐space realisation filter, that can also be implemented with delayed terms whenever...