This paper introduces the robust stability of delay Lurie-type neutral control system. A new criterion is presented in term of linear matrix inequalities by using Lyapunov method. Since the criterion takes the size of the neutral and discrete delays into account, it is less conservative than the existing ones. Examples are given to that illustrate the advantage of our approach and reciprocal in...

This work presents an analytical study and an experimental verification of a robust control design based on a linear matrix inequalities (LMI) framework for boost regulators. With the proposed LMI method, nonlinearities and uncertainties are modelled as a convex polytope. Thus, the LMI constraints permit to robustly guarantee a certain perturbation rejection level and a region of pole location....

A frequency domain design method of fixed structure multivariable PID controllers that satisfy the performance index of the standard H∞ control problem with the LMI (linear matrix inequality) constraints of the PID gains is proposed. Frequency dependent bilinear matrix inequalities on the PID gain are derived and they are approximated by LMI’s for each frequency. By solving an LMI problem itera...

In this paper, we used Lyapunov theory and Linear Matrix Inequalities (LMI) to design a generalized observer by adding more complexity in the output of dynamic systems. Our designed is based on optimization problem, minimizing error between trajectories master slave systems subject incremental quadratic constraint. Moreover, an algorithm given our paper demonstrate method for obtaining desired ...

The continuous-and discrete-time H 1 control problems are solved via elementary manipulations on linear matrix inequalities (LMI). Two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems , and an LMI-based parametrization of all H 1-suboptimal controllers, including reduced-order controllers. The solvability conditions invol...

The design of a static output feedback fuzzy controller for nonlinear systems based on Takagi–Sugeno (T–S) fuzzy models is addressed. To avoid complex mathematical derivations and conservative results, a genetic algorithm (GA) is integrated with a linear matrix inequality (LMI) optimisation to seek the static output feedback gains that satisfy the Lyapunov stability inequalities with a decay ra...

The continuous-and discrete-time H 1 control problems are solved via elementary manipulations on linear matrix inequalities (LMI). Two interesting new features emerge through this approach: solvability conditions valid for both regular and singular problems , and an LMI-based parametrization of all H 1-suboptimal controllers, including reduced-order controllers. The solvability conditions invol...

Preface Objectives In recent years linear matrix inequalities (LMI's) have emerged as a powerful tool to approach control problems that appear hard if not impossible to solve in an analytic fashion. Although the history of LMI's goes back to the fourties with a major emphasis of their role in control in the sixties (Kalman, Yakubovich, Popov, Willems), only recently powerful numerical interior ...

In this paper, sampled-data control of a set of continuous-time LTI systems is considered. It is assumed that a predefined guaranteed continuous-time quadratic cost function, which is, in fact, the sum of the performance indices for all systems, is given. The main objective here is to design a decentralized periodic output feedback controller with a prespecified form, e.g., polynomial, piecewis...

This paper studies the problems of stabilization for a class of linear systems with time delay via impulsive control. Several criteria on stabilization are established using the method of linear matrix inequalities (LMI). It is shown that by using impulsive feedback control a linear delay differential system can be stabilized even if the delay-free system is not stable. Some examples are also d...