In this paper new necessary and sufficient conditions for static output feedback robust controller design for linear discrete timeinvariant systems have been used. The output feedback robust controller design may be reduced to the problem of finding a feasible point under Biaffine Matrix Inequality constraint. In this paper the BMI problem of the output feedback robust controller design has bee...

This paper is concerned with a proportional plus derivative (PD) state feedback control problem for discrete and continuous descriptor linear systems. We aim to design a (PD) state feedback controller which guarantees the stability of closed-loop system. The existence of such a controller is determined by developing a necessary and sufficient condition in terms of LMIs. Then, the desired PD sta...

The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities LMIs and a parameter-dependent Lyapunov functions PDLF allowed by Finsler’s lemm...

This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...

In this paper a computationally e cient Decision Feedback Equalizer (DFE) is proposed. The new equalizer is appropriate for channels with long and sparse impulse response (IR) as those encountered in many wireless communications applications. The main feature of the algorithm is that the actual size of the computationally demanding feedback lter is signi cantly reduced. This is achieved by expl...

The robust stability and H∞ state-feedback control problems for uncertain discrete-time switched systems with time-varying delays are discussed in this paper. The uncertainty is time-varying but norm-bounded. By the switched Lyapunov-Krasovskii functional approach, delay-dependent linear matrix inequality conditions for the delayvarying discrete-time uncertain switched system are developed to g...

This paper discusses a design problem of a variable gain robust controller with guaranteed L 2 gain performance for a class of uncertain switched linear systems. The uncertainties included in the switched linear system under consideration are supposed to satisfy the matching condition and the proposed variable gain robust controller consists of a switching rule, a state feedback law with fixed ...

Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities LMIs and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a...

This paper is concerned with the minimization of roundoff noise subject to 2-norm dynamic-range scaling constraints in two-dimensional (2-D) state-space digital filters. Two methods are proposed, with the first one using error feedback alone and the second one using joint error feedback and coordinate transformation optimization. In the first method, several techniques for the determination of ...