Title :
The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay
Author :
Kim, Keunsik ; Kim, Young Chol
Author_Institution :
Sch. of Automobile Eng., Ajou Motor Coll., Boryoung
Abstract :
The problem of determining the entire set (say S0) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the stabilizing FOC for a given LTI plant including time delay are represented in a linear transformation of S0 at every fixed frequency. It is also shown that the whole set of FOC satisfying the given gain and/or phase margins for the plant is determined by the slightly modified linear transformation of S0 at every fixed frequency. Examples are given for illustration
Keywords :
control system synthesis; delays; gain control; linear systems; phase control; stability; LTI plant; first order controllers; gain-phase margins; linear time invariant plant; linear transformation; stability; time delay; Automotive engineering; Control design; Control systems; Delay effects; Educational institutions; Equations; Feedback; Frequency; Graphics; Stability; First order controller; Gain and Phase margins; Stabilizer; Time delay;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315251
