This work studies the problem of fault estimation using a fast adaptive fault diagnosis observer. The estimator bloc considered for this purpose is an Unknown Input Observer (UIO) which is subsequently used for a robust fault detection scheme and also as an adaptive detection design for an additive actuator fault. Stability of the adaptive estimation is provided by a Lyapunov function ending wi...

The paper presents a fuzzy control based on parallel distributed fuzzy controllers for a heat exchanger. Each subcontroller is LQR designed and provides local optimal solutions. First, a Takagi-Sugeno fuzzy model is employed to represent a system. The stability of the system with the proposed fuzzy controllers is discussed. The simulation results are compared with classical PID control and illu...

Abstract: This paper presents a new procedure for discrete-time robust structured control design. Parameter-dependent nonconvex conditions for stabilizable and induced L2-norm performance controllers are solved by an iterative linear matrix inequalities (LMI) optimization. A wide class of controller structures including decentralized of any order, fixed-order dynamic output feedback, static out...

The exponential stability of semi-linear stochastic partial differential equations (SPDEs) involving L&#x00E8;vy type noise is investigated in this paper. By constructing an appropriate Lyapunov function, a new set sufficient conditions are established terms linear matrix inequalities (LMIs) which ensures the mean-square exponentially (MSES) given system with Neumann boundary conditions. Then <...

This thesis deals with the analysis and design of robust fuzzy controllers for uncertain nonlinear systems using Takagi-Sugeno (T-S) model based approach. A T-S fuzzy model is used here to approximate the uncertain nonlinear systems where the nominal model and uncertain terms of the consequent parts of the fuzzy model are identified by a linear programming approach and then they are expressed i...

In this paper new sufficient conditions are presented for the existence of a Lyapunov pair with a coupling rank constraint within a H∞ minimization framework derived using the bounded real lemma and the projection lemma. The conditions are then used to propose a Linear Matrix Inequality (LMI) sub-optimal method to solve the model order reduction problem of general non-square LTI systems with a ...

This paper deals with the observer-based H∞ control problem for T-S fuzzy systems. By Lyapunov stability and the three index combination technique, a new nonlinear matrix inequality condition for the existence of an observer-based H∞ controller is derived. To solve controllers with LMI algorithms, a set of LMI conditions which are necessary and sufficient to the derived nonlinear condition are ...

This paper investigates the stability of neutral delay-differential systems with mixed multiple time-varying delay arguments. Based on the Lyapunov functional method, and the relationship between the system states and the derivatives of these states, we present a new asymptotical stability criterion and a new robust stability criterion in terms of only one simple linear matrix inequality (LMI),...

This paper is concerned with the robust absolute stability analysis problem for a class of uncertain time-delay systems with nonlinearities satisfying a given sector condition. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a delay-dependent sufficient condition for the robust absolute stability is derived and is expressed as the feasibility problem of a...

This paper deals with the problem of delay-dependent stability for neural networks with distributed delays. Some new sufficient condition are derived by constructing a novel Lyapunov-Krasovskii functional approach. The criteria are formulated in terms of a set of linear matrix inequalities, this is convenient for numerically checking the system stability using the powerful MATLAB LMI Toolbox. M...