The design of reduced-order observer for Linear Parameter Varying (LPV) time-delay systems is addressed. Necessary conditions guaranteeing critical structural properties for the observation error dynamics are first provided through nonlinear algebraic matrix equalities. An explicit parameterization of the family of observers fulfilling these necessary conditions is then derived. Finally, an app...

The tracking problem for continuous-time systems is investigated. It is assumed that the states of the systems are not available. An observer is firstly designed to estimate the states by using the H∞ method. The control action is consist of a state-feedback control, an integral component, and a feedforward loop. The linear-matrix-inequality region is used to constrain the eigenvalue location f...

We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with ...

In this paper, the problemof robust exponential stability analysis of uncertain discrete-time recurrent neural networks withMarkovian jumping and time-varying delays is studied. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient criterion is proposed for the global robust exponential stability of discrete-time recurrent neural networks which conta...

In this paper, we consider the stability analysis for uncertain systems with time-delay when the states are unmeasurable. Takagi-Sugeno (T-S) fuzzy model is used to describe this kind of systems. Based on Lyapunov approach, new delay-independent stability conditions are derived, then a design method of the observer-based output feedback controller is proposed. All the results are presented in t...

This paper considers the problem of computing an approximation system for a discrete-time Markovian jump system with mode-dependent time delays such that the H∞ norm of the error system is less than a prescribed scalar. It can be shown that the approximation system is constructed by the solutions of linear matrix inequalities (LMIs) with inverse constraints. An efficient algorithm is used to ob...

The problem of estimating the domain of attraction (DA) of equilibria of polynomial systems is considered. Specifically, the computation of the quadratic Lyapunov function which maximizes the volume of the estimate is addressed. In order to solve this double non-convex optimization problem, a semi-convex approach based on Linear Matrix Inequalities (LMIs) is proposed. Moreover, for the case of ...

This work extends the current results of SISO (single-input-single-output) case H-infinity PID Controller synthesis in finite frequency domain to the subject of multivariable decentralized control. Sufficient conditions for the existence of such a decentralized PID controller are derived in terms of linear matrix inequalities (LMIs). A numerical example is given that establishes the efficacy of...

Abstract: This paper considers the problem of persistent bounded disturbance rejection for a class of time-delay systems by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on which, a dynamic output-feedback controller is then designed. All the ...

This paper deals with the problem of guaranteed cost analysis and control of a class of nonlinear discrete-time systems with uncertain parameters. We use polynomial Lyapunov functions to derive stability conditions with a guaranteed bound on the 2-norm of the performance output in terms of linear matrix inequalities (LMIs). We then extend this approach to control design by considering parameter...