A LQG control design technique for LPV systems using single Lyapunov function is improved by searching for a parameter-dependent Lyapunov function in order to enhance the LQG performance of the control. Such a design technique has not been developed in the LQG framework so far (in the authors knowledge), albeit its adaptability to performance degradation on the parameter region enlarges the cla...

A wheel slip controller for Anti-lock Brake Systems (ABS) is designed using LQ-optimal control. The controller gain matrices are gain scheduled on the vehicle speed. A parameter dependent Lyapunov function for the nominal linear parameter varying (LPV) closed loop system is found by solving a linear matrix inequality (LMI) problem. This Lyapunov function is used to investigate robustness with r...

This paper is concerned with the problem of robust stability of Markovian jump singularly perturbed descriptor systems with uncertain switchings and nonlinear perturbations for any 2 .0, N , where N is a pre-defined positive scalar. A linear matrix inequality (LMI) condition is firstly established to guarantee the existence and uniqueness of a solution. Then, an -independent condition in terms ...

The average consensus in undirected networks of multi-agent with both fixed and switching topology coupling multiple time-varying delays is studied. By using orthogonal transformation techniques, the original system can be turned into a reduced dimensional system and then LMI-based method can be applied conveniently. Convergence analysis is conducted by constructing Lyapunov-Krasovskii function...

In this paper, the problem of guaranteed cost fault-tolerant control for networked control systems (NCSs) is discussed based on Lyapunov stability theory and Linear Matrix Inequality (LMI). The sufficient conditions possessing robust integrity against actuator failures are given by adopting memory state feedback control law, which can meet a cost function for closed-loop networked control syste...

This paper considers the problem of discrete passive filter design method for singular systems with interval time-varying delay. A bounded real lemma (BRL) for discrete passivity with a dissipation of discretetime delayed singular systems by a Lyapunov function is derived. A delay-dependent discrete passive filter design method is proposed by linear matrix inequality (LMI) approach on the basis...

The present paper deals with observer design for discrete-time nonlinear descriptor systems. Through Finsler’s Lemma, we cut the link between the observer gains and the Lyapunov function, which relaxes existing conditions and introduces an extra degree of freedom. In addition, the results are expressed as LMI constraints. The effectiveness of the two proposed approaches is illustrated via sever...

The problem ensuring the global robust exponential stability of a class of delayed cellular neural networks with norm-bounded uncertainties is studied. Without assuming the boundedness of the activation functions, by applying the idea of vector Lyapunov function and linear matrix inequality (LMI) techniques, some sufficient conditions for the global robust exponential stability of uncertain cel...

In this paper, the problem of stability of uncertain cellular neural networks with discrete and distribute time-varying delays is considered. Based on the Lyapunov function method and convex optimization approach, a new delay-dependent stability criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI as a convex optimization problem, ...

A new observer design method is proposed for Takagi-Sugeno systems with immeasurable premise variables. Since the state estimation error can be written as a perturbed system, then the proposed method is based on the L2 techniques to minimize the effect of the perturbations on the state estimation error. The convergence conditions of the observer are established by using the second method of Lya...