In this paper, we propose a nonlinear state feedback controller based on linear matrix inequality (LMI) for class of systems with parametric uncertainties and external disturbances. The primary goals the proposed are to guarantee system stability performance in presence time-dependent To meet specified objectives, LMI form is calculated as hierarchical control structure. Using Lyapunov function...

In this paper, we propose a new LMI-based method for robust state-feedback controller synthesis of discrete-time linear periodic/time-invariant systems subject to polytopic uncertainties. In stark contrast with existing approaches that are confined to static controller synthesis, we explore dynamic controller synthesis and reveal a particular periodically timevarying dynamical controller struct...

background and aims. microleakage is still one of the major problems of composite-based restorations. this study compared the microleakage and thickness of resin cement in ceramic inlays with various temperatures. materials and methods. class v cavities were prepared on the buccal and lingual aspects of thirty human molars with occlusal margins in enamel and gingival margins in dentin (3 mm wid...

In this paper, we consider the problems of stability analysis and control synthesis for first-order hyperbolic linear Partial Differential Equations (PDEs) over a bounded interval with spatially varying coefficients. We propose Linear Matrix Inequalities (LMI) conditions for the stability and for the design of boundary and distributed control for the system. These conditions involve an infinite...

Fixed order anti-windup augmentation is addressed by considering the dynamics of the mismatch between the constrained and unconstrained responses. The method utilizes LMIs, and the result parallels other recent LMI-based anti-windup synthesis methods. Robustness is directly addressed}which is not done in previous LMI work on anti-windup. An optimal LMI-based synthesis procedure is provided for ...

This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm proposed class systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L-KF). These expressed in form linear matrix inequalities (LMI) which could be solved using solvers LMI Toolbox MATLAB. Two numerical examples to illustrat...

In this paper a new linear matrix inequality (LMI) based design method for T-S fuzzy classifier is proposed. The various design factors including structure of fuzzy rule and various parameters should be considered to design T-S fuzzy classifier. To determine these design factors, we describe a new and efficient two-step approach that leads to good results for classification problem. At first, L...

GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality (LMI) relaxations of non-convex optimization problems with multivariate polynomial objective function and constraints, based on the theory of moments. In contrast with the dual sum-of-squares decompositions of positive polynomials, the theory of moments allows to detect global optimality of an LMI relaxation...

This work presents an analytical study and an experimental verification of a robust control design based on a linear matrix inequalities (LMI) framework for boost regulators. With the proposed LMI method, nonlinearities and uncertainties are modelled as a convex polytope. Thus, the LMI constraints permit to robustly guarantee a certain perturbation rejection level and a region of pole location....

A su/cient condition for an ellipsoid to be invariant was obtained recently and an LMI approach was developed to 3nd the largest ellipsoid satisfying the condition. This condition was later shown to be necessary for the single input case. This paper is dedicated to the multi-input case. We will examine the conservatism of the condition for multi-input systems. Our investigation is conducted by ...