Title :
A parametrization of all stabilizing controllers for linear minimum phase single-input and single-output systems
Author_Institution :
Dept. of Electr. & Inf. Eng., Yamagata Univ., Yonezawa, Japan
Abstract :
An exact parametrization is given for the class of all proper stabilizing controllers for linear minimum phase systems. This parametrization is simple and does not contain improper controllers, that is, this parametrization contains only proper stabilizing controllers. This parametrization is given by using a supplemental rational function to hold a certain condition and free-parameter. It is shown that this parametrization is independent of selection of supplemental rational functions. A control structure of all stabilizing controllers for the minimum phase system is given. A numerical example to show the effectiveness is given
Keywords :
asymptotic stability; linear systems; rational functions; transfer functions; control structure; linear minimum phase SISO systems; parametrization; proper stabilizing controllers; rational function; Continuous time systems; Control design; Control system synthesis; Control systems; Feedback control; State feedback; Transfer functions;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.815522
