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Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback

Kiritsis Konstadinos H.

Control and Cybernetics

2023

Vol. 52, No. 1

53--77

This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.

State estimation of networked control systems over limited capacity and dropout channels

Liu Qingquan, Ding Rui, Chen Chunqiang

Archives of Control Sciences

2019

Vol. 29, No. 4

687--697

This paper investigates state estimation of linear time-invariant systems where the sensors and controllers are geographically separated and connected over limited capacity, additive white Gaussian noise (AWGN) communication channels. Such channels are viewed as dropout (erasure) channels. In particular, we consider the case with limited data rates, present a necessary and sufficient condition on the data rate for mean square observability over an AWGN channel. The system is mean square observable if the data rate of the channel is larger than the lower bound given. It is shown in our results that there exist the inherent tradeoffs among the limited data rate, dropout probability, and observability. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.

Implementacja korektora liniowych systemów stacjonarnych w systemie czasu rzeczywistego QNX

Ciesielski G., Albrecht A., Wojciechowski R.

Automatyka / Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie

2004

T. 8, z. 3

239-246

Artykuł traktuje o projekcie korektora liniowych systemów stacjonarnych. Przedstawiono w nim uogólnione pojęcie systemu oraz przybliżono warunki liniowości oraz stacjonarności systemów. Wprowadzono pojęcie korekcji systemów wraz z omówieniem klasyfikacji podstawowych podejść do zagadnienia identyfikacji korektorów. Naświetlono możliwości płynące z zastosowania systemu czasu rzeczywistego QNX do celów korekcji ww. systemów oraz zilustrowano podstawy projektowe dotyczące fizycznej implementacji korektora.

In this paper the project of linear time-invariant systems corrector is shown. Generalized concept and classification of the systems are introduced and the linear and time-invariant conditions for the systems are described. The system correction idea is widely discussed including the classification of basic corrector systems identification methods. The benefits coming from application of real-time operating system QNX for correction aims of above-mentioned systems are presented and the project basics of system corrector physical implementation is described.