Abstract This paper investigates the problems of nonlinear channel equalization based on LMI-fuzzy methodology. According to Takagi-Sugeno (T-S) fuzzy modeling concept, the discrete-time nonlinear channel can be constructed by the piecewise linear subsystems. The FIR fuzzy equalizer design for nonlinear channel is transformed into a standard linear matrix inequality (LMI) optimization problem, ...

In this paper, the robust fault detection filter design problem for linear time invariant (LTI) systems with unknown inputs and modeling uncertainties is studied. The basic idea of our study is to formulate the robust fault detection filter design as a H∞ model-matching problem. A solution of the optimal problem is then presented via a linear matrix inequality (LMI) formulation. The main result...

This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent LPD discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality LMI techniqu...

We develop an output feedback H, control design method for linear time-delay systems based on the linear-matrix-inequality (LMI) approach. A sufficient condition for the existence of H, controllers of any order is given in terms of three LMIs. The condition is valid for both singular and regular problems. We also give a characterization of H, controllers in state space. The LMI existence condit...

In this paper, the output feedback controller design problem is addressed for linear systems subject to sensor nonlinearity. First, the existence condition of an output feedback controller is derived for systems with sensor sector nonlinearity. A design method for the output feedback controller is proposed using a linear-matrix inequality (LMI) based approach. The result is then applied to the ...

The paper deals with the problem of nonlinear fuzzy observers for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models with local nonlinear terms. On the basis of the Lyapunov stability criterion and incremental quadratic inequalities, the sufficient LMI design conditions are outlined. Numerical example is given to illustrate the procedure and to validate the perfor...

New sufficient dilated linear matrix inequality LMI conditions for the H∞ static output feedback control problem of linear continuous-time systems with no uncertainty are proposed. The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions PDLFs . In order to reduce the conservatism existing in early standard LM...

Information fusion from multiple sensors ensures the accuracy and robustness of a navigation system, especially in the absence of global positioning system (GPS) data which gets degraded in many cases. A way to deal with multi-mode estimation for a small fixed wing unmanned aerial vehicle (UAV) localization framework is proposed, which depends on utilizing a Luenberger observer-based linear mat...

In this paper, the asymptotic stability is considered for a class of uncertain stochastic bidirectional associative memory neural networks with time delays and parameter uncertainties. The delays are time-invariant and the uncertainties are norm-bounded that enter into all network parameters. The aim of this paper is to establish easily verifiable conditions under which the delayed neural netwo...

In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data controlis investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...