This paper presents a convex optimization method for the feedback-loop tradeoff of L1 adaptive controller. Both problems of performance improvement and time-delay margin maximization are shown to be cast into Linear Matrix Inequality (LMI) type conditions. First, each of these conditions is studied separately towards a distinct objective, and next two similar LMI algorithms are proposed for opt...

This paper develops a novel robust stability criterion for a class of uncertain neutral-type neural networks with discrete interval and distributed time-varying delays. By constructing a general form of LyapunovKrasovskii functional, using the linear matrix inequality (LMI) approach and introducing some free-weight matrices, the delay-dependent robust stability criteria are derived in terms of ...

In this paper, the linear matrix inequality (LMI) conditions for output feedback control problems are presented. The underlying theory is based upon the necessary and sufficient conditions for static output feedback quadratic stabilizability of continuous time-invariant polytopic systems. The proposed two computationally simple LMI-based algorithms (the V-K iterative and non-iterative one) are ...

In this paper, the delay-dependent stability problem for a class of neural networks of neutral-type with interval time-varying delays and nonlinear perturbations is investigated. A novel stability criterion is obtained in terms of linear matrix inequality (LMI) by employing a Lyapunov-Krasovskii functional. The proposed criteria can be checked easily by the LMI Control Toolbox in Matlab. In add...

This paper presents a method for functional projective H∞ synchronization problem of chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller is established to not only guarantee stable synchronization of both drive and response systems but also reduce the effect of external disturbance to an H∞ norm constr...

This paper presents a new observer design methodology for a time varying actuator fault estimation. A new linear matrix inequality (LMI) design algorithm is developed to tackle the limitations (e.g. equality constraint and robustness problems) of the well known so called fast adaptive fault estimation observer (FAFE). The FAFE is capable of estimating a wide range of time-varying actuator fault...

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...

In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

In this paper, the problem of dynamics analysis for a class of new impulsive stochastic Cohen–Grossberg neural networks with Markovian jumping and mixed time delays is researched. Some criteria for the asymptotical stability in mean square are obtained based on linear matrix inequality (LMI) forms, which can be easily solved by LMI Toolbox in Matlab. An example is given to show the effectivenes...

In this paper we consider a robust H2 control problem for two-degree of freedom (2DOF) control systems with structured uncertainties. We show that it can be reduced to a scaled H∞ synthesis problem with one additional Linear Matrix Inequality (LMI) condition. Particularly it can be reduced to an LMI optimization problem if the uncertainty is unstructured. As a result, we can obtain the optimal ...