Title :
Rank one representations
Author :
Arehart, Alan B. ; Wolovich, Williani A.
Author_Institution :
Lab. for Eng. Man/Machine Syst., Brown Univ., Providence, RI, USA
Abstract :
A rank one representation is a new way to represent a linear system which, in many cases, makes it very easy to determine stabilising linear output feedback gains. This paper extends previous research in two ways. First we show a new way to derive rank one representations from state space representations by inspection. Then we show a new way to use rank one representations in conjunction with nonlinear programming to determine stabilizing linear output feedback gains for systems which undergo sensor or actuator failures
Keywords :
differential equations; feedback; linear systems; modelling; nonlinear programming; stability; state-space methods; actuator failures; differential operator representation; linear system; nonlinear programming; rank one representation; sensor failures; stabilising linear output feedback gains; state space representations; Gain; Hydraulic actuators; Inspection; Laboratories; Linear programming; Linear systems; Output feedback; Polynomials; Sensor systems; State-space methods;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652448