For T-S fuzzy systems with hard constraints and disturbances modeled by impulses, a constrained H2 control scheme in the framework of LMI (Linear Matrix Inequality) optimization is proposed in this paper. First, the H2 norm is chosen as measurement of disturbance attenuation level, and sufficient conditions for guaranteeing an H2 performance are given. Then, under the bound assumption of the di...

This paper is concerned with robust observer design for linear time-delay systems in the presence of unstructured uncertainties and of disturbances as well. The proposed method ensures the stability of the observer and the H∞ attenuation of uncertainty and disturbance effects on the estimated error. The result is developed ina delay dependent framework and the observer gain matrix is obtained b...

In this paper, we solve the robust H2 synthesis problem for linear fractional transformation (LFT) systems affected by white noise disturbances. Using an intermediate matrix, we develop robust and gain-scheduling control synthesis conditions in linear matrix inequality (LMI) forms. The newly proposed robust H2 control approach has been applied to several examples, and demonstrated less conserva...

We present convergence rate analysis for the approximate stochastic gradient method, where individual gradient updates are corrupted by computation errors. We develop stochastic quadratic constraints to formulate a small linear matrix inequality (LMI) whose feasible set characterizes convergence properties of the approximate stochastic gradient. Based on this LMI condition, we develop a sequent...

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...

A frequency domain design method of fixed structure multivariable PID controllers that satisfy the performance index of the standard H∞ control problem with the LMI (linear matrix inequality) constraints of the PID gains is proposed. Frequency dependent bilinear matrix inequalities on the PID gain are derived and they are approximated by LMI’s for each frequency. By solving an LMI problem itera...

This study introduces the fuzzy Lyapunov function to the fuzzy PID control systems, modified fuzzy systems, with an optimized robust tracking performance. We propose a compound search strategy called conditional linear matrix inequality (CLMI) approach which was composed of the proposed improved random optimal algorithm (IROA) concatenated with the simplex method to solve the linear matrix ineq...

In this paper, a high-gain interval observer (HGIO) for class of partially linear continuous-time systems with sampled measured outputs in the presence bounded noise and additive disturbances is proposed. The design HGIO formulated Linear Matrix Inequality (LMI) framework. gain designed to satisfy cooperative property using time-varying change coordinates based on pole placement separate LMI re...

Robust stability of time-varying uncertain systems is a key problem in automatic control. This note considers the case of linear systems with rational dependence on an uncertain time-varying vector constrained in a polytope, which is typically addressed in the literature by using the linear fractional representation (LFR). A novel sufficient condition for robust stability is derived in terms of...

Abstract In this paper, the global exponential synchronization in arrays of neural networks with distributed delays and coupling is investigated. Without assuming the inner coupling matrix to be diagonal, by employing a new Lyapunov-Krasovskii functional, applying the theory of Kronecker product of matrices and the linear matrix inequality (LMI) technique, a sufficient conditions in LMI form is...