Certain frequency-shaped standard linear quadratic (LQ) controllers involving state feedback have attractive loop robustness properties. These robustness properties may vanish in passing to an output feedback scheme, as when state estimates are used instead of states. The known exception to date is when the plants are minimum phase and state estimation with loop recovery is used, as in LQG/LTR ...

Abstract: The purpose of the paper is to present a class of algorithms using to solve the optimization problem concerning with H∞ feedback control for linear discrete-time stochastic systems with stochastic parameter uncertainties, as well as a method for the optimization problem reducing this to a standard formulation used two convex inequalities, which can be solved by linear matrix inequalit...

In this paper, the quadratic stabilization of switched linear systems with polytopic uncertainties is considered. Compared with the existing result, a more general switching control method is proposed to guarantee the quadratic stabilization. This switching control method is based on the partition of vertex matrix set of each subsystem. By this method, the matrix inequalities needed to be solve...

In this paper, it is shown that by exploiting the explicit parametric state feedback solution, it is feasible to obtain the ultimate solution to minimum sensitivity problem. A numerical algorithm for construction of a robust state feedback in eigenvalue assignment problem for a controllable linear system is presented. By using a generalized parametric vector companion form, the problem of eigen...

This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. We pay attention to designing a state feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. In terms of a linear matrix inequality, a sufficient condition for the solvability of this problem is presented and the explicit exp...

A bst ract : Based on the T-S model ,the output regulation of nonlinear singularly perturbed systems via state feedback is dis2 cussed. It is shown that , under standard assumptions ,this problem is solvable if and only if certain linear matrix equations are solv2 able. Once these equations are solvable , the state feedback regulator can easily be constructed. Keywor ds : Nonlinear systems ; Ou...

The paper presents a state feedback stabilization method for uncertain systems subjected to parametric time-varying structured uncertainty. The proposed design approach also allows to obtain an imposed robust H ∞ performance with respect to the class of uncertainty considered. Necessary and sufficient conditions for the existence of such a state feedback control are derived in terms of the feas...

Abstract: The aim of this paper is to develop a new approach for a solution of the continuous-time model matching problem with a static state feedback in the sense of H∞ optimality criterion. The main contribution is to reformulate the H∞ model matching problem in linear matrix inequality settings, to present the solvability conditions and to give a design procedure for a one degree of freedom ...

This study investigates six degrees-of-freedom nonlinear tracking control of rigid spacecraft under external disturbances. We propose two nonlinear tracking controllers having disturbance attenuation ability, namely, a proportionalderivative (PD)-type H∞ state feedback controller and a proportional-integral-derivative (PID)-type H∞ state feedback controller. Both these controllers have positive...

In this paper we address the H∞ control analysis, the output feedback stabilization, and the output feedback H∞ control synthesis problems for state-space symmetric systems. Using a particular solution of the Bounded Real Lemma for an open-loop symmetric system we obtain an explicit expression to compute the H∞ norm of the system. For the output feedback stabilization problem we obtain an expli...