Aiming at the unpredictability and nonlinearity of Lorenz chaotic system, this paper takes fluid thermal convection infinite plate as model, studies sliding mode control based on LMI. Based characteristics method is applied to attenuate effects some nonlinear factors, Lyapunov function designed obtain law that satisfies conditions. Further, a dynamic compensation algorithm presented, it can eff...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

This paper presents a sum of squares (SOS) approach to guaranteed cost control of polynomial discrete fuzzy systems. First, we present a polynomial discrete fuzzy model that is more general representation of the well-known discrete Takagi-Sugeno (T-S) fuzzy model. Secondly, we derive a design condition based on polynomial Lyapunov functions that contain quadratic Lyapunov functions as a special...

This paper deals with the linear H∞ filtering problem for a class of regionally stable uncertain nonlinear systems subject to bounded disturbances and measurement noises. The nonlinear systems is represented by differential-algebraic equations where the system matrices are allowed to be rational functions of the state and uncertain parameters. For this class of systems, LMI conditions are propo...

This paper deals with the problem of stability and stabilization of sampled-data systems under asynchronous samplings and actuators saturation. The method is based, on the first hand, on the use of a novel class of Lyapunov functionals whose derivative is negative along the trajectories of the continuoustime model of the sampled data system. It is shown that this fact guarantees that a quadrati...

This article deals with the robust stability analysis and passivity of uncertain discrete-time TakagiSugeno (T-S) fuzzy systems with time delays. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. A sufficient condition on the existence of robust passive controller is established based on the Lyapunov stability theory. With the help o...

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controlle...

This paper considers the problem of robust stability for linear systems with a constant time-delay in the state and subject to real convex polytopic uncertainty. First of all, for robust stability problem, new matrix inequalities characterization of delay-dependent robust stability results are exploited, which demonstrat that it allows the use of parameterdependent Lyapunov functions in compari...

This note considers the problems of stability and stabilization for discretetime switched nonlinear systems with time-varying delay. The nonlinearity is assumed to satisfy a special constraint. The purpose of the robust stability problem is to give conditions such that the discrete-time switched nonlinear delay system is exponentially stable, while the purpose of stabilization is to design a st...

In this paper, we consider a robust output feedback model predictive controller(MPC) design for Wiener model. Nonlinearities that couldn’t be represented in static nonlinearity block of Wiener model are regarded as uncertainties in linear block. An dynamic output feedback controller design method is presented for Wiener MPC. According to MPC algorithm, the control law is computed based on linea...