DocumentCode :
2454517
Title :
On the recursive reduction of the order of stabilizing controllers for LTI systems
Author :
Darbha, Swaroop ; Choi, Woosuk ; Bhattacharya, S.P.
Author_Institution :
Dept. of Mech. Eng., Texas A&M Univ., College Station, TX, USA
Volume :
2
fYear :
2004
fDate :
2-4 Sept. 2004
Firstpage :
1533
Abstract :
We first prove the following result: if there exists a proper stabilizing controller of order "r", there is a strictly proper stabilizing controller of order "r+1"; moreover, the set of strictly proper stabilizing controllers contains an infinite line segment in the controller parameter space. Using this result, we (1) provide a sufficient condition, based on pole-zero cancellation, for reducing the order of a stabilizing controller and (2) show that the minimal order of a proper stabilizing controller is "r" if and only if the following two conditions hold: (a) the set of rational, strictly proper stabilizing controllers of order "r" is bounded (can even be empty) in the controller parameter space and (b) the set of proper stabilizing controllers of order "r" is not empty. This result holds even for complex stabilization and hence, for the minimal order of stabilizing controllers that guarantee a performance describable through a complex stabilization problem.
Keywords :
recursive estimation; reduced order systems; stability; time-varying systems; infinite line segment; linear time invariant dynamical system; pole-zero cancellation; recursive reduction; stabilizing controller; Application software; Computer errors; Control system synthesis; Control systems; Control theory; Force control; Hardware; Polynomials; Process control; Sufficient conditions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Applications, 2004. Proceedings of the 2004 IEEE International Conference on
Print_ISBN :
0-7803-8633-7
Type :
conf
DOI :
10.1109/CCA.2004.1387593
Filename :
1387593
Link To Document :
بازگشت