In this paper, we propose a robust controller design method for discrete-time systems with sector-bounded nonlinearities and time-varying delay. Based on the Lyapunov theory, delaydependent stabilization criteria are obtained in terms of linear matrix inequalities (LMIs) by constructing the new Lyapunov-Krasovskii functional and using some inequalities. A robust state feedback controller is des...

Nonlinear input-affine systems in quasi-polynomial (QP) and Lotka-Volterra (LV) forms are investigated in this paper. It is shown that both the global stability analysis with an entropy-like Lyapunov function candidate and the local quadratic stability region determination can be performed by solving linear matrix inequalities (LMIs). The invariance transformations preserving the form of the de...

Abstract: This paper presents sufficient conditions based on dilated LMIs to analyze and synthesize controllers that minimize the L2-norm of the the closed-loop system for spatially varying interconnected polytopic systems. The approach presented here searches for a parameter dependent Lyapunov function (PDLF) by dilating the original LMIs. This dilation not only helps in the search for a PDLF ...

This paper investigates the problem of robust finite-time H∞ filter design for Itô stochastic systems. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a finite-time H∞ filter such that, for all admissible uncertainties, the filtering error system is stochastic finite-time st...

In this paper, the problem of delay-dependent robust absolute stability of uncertain multiple time-delayed Lur'e systems with sector-bounded nonlinearity is investigated. The nonlinearity is assumed to be both time-invariant and time-varying. Based on the Lyapunov-Krasovskii stability theory and matrix decomposition method, some delay-dependent sufficient conditions for the robust absolute stab...

On the basis of a parameterization of the span of a multivariate matrix polynomial, a sufficient condition is derived in this paper for a multi-dimensional multi-input multi-output (MIMO) IIR system being upper bounded over a cuboid frequency domain. This condition is expressed through a linear matrix inequality (LMI) and can be computationally verified. Moreover, by means of parameter dependen...

The output-feedback control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park’s inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainti...

In this paper, we consider the problem of decentralized robust guaranteed cost control for T-S fuzzy interconnected systems with time delays and uncertain parameters. The sufficient conditions are given, under which we can design decentralized robust guaranteed cost controllers to provide the stability of the closed-loop system and guarantee an adequate level of performance for all admissible u...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...

A discrete time fault tolerant control system (DTFTCS) model in noisy environments driven by a delayed state feedback controller is developed. Delay-independent results are obtained using Lyapunov function approach and formulated as feasibility solution for a set of linear matrix inequalities (LMIs). In particular, second moment stability for the proposed feedback-delayed DTFTCS is considered. ...