Output regulation of linear systems with input constraints

This paper studies the output regulation problem of general linear systems with input saturation. The asympotically regulatable region which is the set of all initial states of the plant and the exosystem is given. A feedback controller based on a stabilizing law is given such that for given initial pair in the regulatable region, the controller ensures exponential output regulation

A new H∞ stabilization criterion for networked control systems

This note is concerned with robust H∞ control of linear networked control systems with time-varying network-induced delay and data packet dropout. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the time-varying network-induced delay, is proposed to drive a new delay-dependent H∞ stabilization criterion. The criterion is formulated in the form of a nonconvex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequalities. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no slack variable is introduced. Finally, two numerical examples are given to show the effectiveness of the proposed design method

Robust absolute stability criteria for uncertain Lur'e systems of neutral type

This paper is concerned with robust absolute stability of uncertain Lur'e systems of neutral type. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities. The criteria cover some existing results as their special cases. Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show the effectiveness of the criteria

Computation of delay bound for linear neutral systems with interval time-varying discrete delay

This paper is concerned with the stability for a class of uncertain linear neutral systems. The uncertainty under consideration is of norm-bounded type. The discrete delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying discrete delay are available, and no restriction on the derivative of the time-varying discrete delay is needed, which allows the discrete delay to be a fast time-varying function. Based on an integral inequality, which is introduced in this paper, and Lyapunov-Krasovskii functional approach, some stability criteria, which are formulated in the form of linear matrix inequalities (LMIs), are derived without using model transformation and bounding techniques on the related cross product terms. By the obtained criteria one can compute the allowed delay bound to guarantee the asymptotic stability of the considered systems. A numerical example is given to demonstrate effectiveness of the proposed criteria