摘要:

We say that a discrete-time system is ρ-stable if, roughly speaking, ρk>Xk→0, where>Xkis the system state. General ρ-stability theorems are established in this paper. They concern systems governed by functional difference equations. Systems of this type are encountered in the robustness studies. These ρ-stability theorems are a generalization of the well-known Lyapunov criterion. These results are applied to the robustness quantification problem in the second part of the paper. The case of discrete-time LQ regulators is deeply investigated. Robustness properties of continuous-time LQ regulators are found as the limit when the sampling period>Ttends to zero; robustness deteriorates as T increases. An upper bound is given for>T, under which the robustness remains satisfactory. The practical interest of these theoretical results is illustrated on the basis of an industrial example.

ISSN:0020-7179    

DOI:10.1080/00207179008953591

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

The robust regulator problem for linear MIMO systems in the frequency domain is considered. The stability robustness of the overall system is analysed with respect to additive perturbations in the mathematical model of the plant, and a controller that has been designed to solve the regulator problem for the nominal plant Po(s). It is shown that in the special case where the reference signal (or the disturbance) has a pole at s =jωk, the robustness can be upper-bounded by the minimum singular value of Po(jωk). This upper bound can be achieved in the case of a stable plant and step reference and disturbance. A design procedure for obtaining>H∞ -optimal solutions is given.

ISSN:0020-7179    

DOI:10.1080/00207179008953592

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

A Kalman-type decomposition for implicit linear discrete-time systems is studied in detail. It is shown that such a decomposition can be used to study the problem of regularizability.

ISSN:0020-7179    

DOI:10.1080/00207179008953593

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

Motivated by Åström-Hägglund's relay auto-tuner, conditions for boundedness of oscillations in relay feedback systems are given, including the case when the linear part of the system contains an integrator.

ISSN:0020-7179    

DOI:10.1080/00207179008953594

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

A correction is made to the robust optimality result obtained by the authors in their previous paper.

ISSN:0020-7179    

DOI:10.1080/00207179008953595

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor