We consider here the row-by-row decoupling of linear timeinvariant systems by proportional and derivative state feedback. Our contribution, with respect to previous results, is that our procedure is based on simple operator (say matrices) manipulations, without any need to use a canonical form. The only assumptions for applying such a decoupling strategy are that the system is right invertible ...

In this paper, state-derivative and especially output-derivative feedbacks for linear time-invariant systems are derived using control approach similar to linear quadratic regulator (LQR). The optimal feedback gain matrices are derived for the desired performance. This problem is always solvable for any controllable system if the open-loop system matrix is nonsingular. Explicit expression of th...

Abstract— The pole placement is one of the most important methods for designing controller for linear systems. In this paper work a procedure for solving the pole-placement problem for a linear time-invariant single-input/single output (SISO) systems by state-derivative feedback is described. Pole placement design to place all closed-loop poles at desired locations. In this paper, we shall prov...

We study the stabilizability of a linear controllable system using state derivative feedback control. As a special feature the stabilized system may be fragile, in the sense that arbitrarily small modelling and implementation errors may destroy the asymptotic stability. First, we discuss the pole placement problem and illustrate the fragility of stability with examples of a different nature. We...

ABSTRACT In this paper, a discrete sliding mode controller with multirate output feedback is designed to control the inverted pendulum system at the upright position. Most of the SMC control strategies are based on state feedback, however not all of the state feedbacks are available. The multirate output feedback (MROF) used output feedback, therefore the state are always available at any condi...

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...