Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...

Conditions are given under which a descriptor, or generalized state-space, system can be regularized by output feedback. It is shown that under these conditions proportional and derivative output feedback controls can be constructed such that the closed loop system is regular and has index at most 1. This property ensures the solvability of the resulting system of dynamicalgebraic equations. A ...

We study linear descriptor control systems with rectangular variable coeecient matrices. We introduce condensed forms for such systems under equivalence transformations and use these forms to detect, whether the system can be transformed to a uniquely solvable closed loop system via state or derivative feedback. We show that under some mild assumptions every such system consists of an underlyin...

We study linear descriptor control systems with rectangular variable coefficient matrices. We introduce condensed forms for such systems under equivalence transformations and use these forms to detect whether the system can be transformed to a uniquely solvable closed loop system via state or derivative feedback. We show that under some mild assumptions every such system consists of an underlyi...

This paper proposes the stiffness nonlinearities and asymmetric SD (smooth discontinuous) oscillator under time-delayed feedback control with fractional derivative damping. With effect of displacement velocity feedback, can be adjusted to desired vibration state, then stochastic resonance (SR) is achieved. article discusses contribution various system parameters SR, especially which induced by ...

High-precision positioning of laser beams has been a great challenge in industry due to inevitable existence of noise and disturbance. The work presented in this study addresses this problem by employing two different control strategies: Proportional Integral Derivative (PID) control and state feedback control with an observer. The control strategies are intended to stabilize the position of a ...

It is well-known that exponential stabilization of a neutral system with unstable diierence operator is only possible by allowing for control laws containing derivative feedback. We show that closed-loop stability of a neutral system with unstable open-loop diierence operator obtained by applying a derivative feedback scheme is extremely sensitive to arbitrarily small time-delays in the feedbac...

For linear, square, multi-input–multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is su3ciently small. Stability regions are determined and related. c © 2004 Elsevier B.V. All ri...