Title :
A controllable canonical form for constant-ratio proportional and derivative (CRPD) feedbacks in generalized systems
Author :
Chen, Hung-Chou ; Chang, Fan-Ren
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
The eigenvalue placement of controllable generalized systems of the form Eˆx˙(t)=Aˆx( t)+Bˆu(t) by constant-ratio proportional derivative (CRPD) feedback control of the form u( t)=Kˆ(ρxˆ(t)-x (t)+w(t)) is discussed. The problem is an extension of the traditional state feedback control law, which is the case of Eˆ=I and ρ=0. A controllable canonical form and its transformation matrices are used to solve this problem. Based on the developed canonical transformation, pole assignment of generalized systems can be implemented easily. The development of the authors´ method depends crucially on the properties of standard form generalized systems. One illustrative example is included
Keywords :
control system analysis; feedback; linear systems; poles and zeros; two-term control; CRPD feedback control; constant-ratio proportional derivative; controllable canonical form; eigenvalue placement; pole assignment; standard form generalized systems; state feedback control law; transformation matrices; Control systems; Eigenvalues and eigenfunctions; Feedback control; PD control; Power systems; Proportional control; Standards development; State feedback; State-space methods; Vectors;
Conference_Titel :
Circuits and Systems, 1992., Proceedings of the 35th Midwest Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-0510-8
DOI :
10.1109/MWSCAS.1992.271393
