Title :
A method of compensator design for discrete systems which bounds both the closed-loop system and compensator eigenvalues
Author :
Bartholomew, David L. ; Inwin, R.D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Ohio Univ., Athens, OH, USA
Abstract :
A method for designing compensators for discrete systems is presented. This method gives upper bounds on the maximum eigenvalues of the compensator and closed loop system by simultaneously minimizing the maximum singular values of the system matrices of the controller (A-BF), observer (A-LC) and compensator (A-BF-LC+BGC) for a given realization (A,B,C). However, the fact that the maximum singular values are minimized for a given realization does not imply any specific bounds on these values since they depend on the realization. Thus, an attempt is made to find bounds on the resulting maximum singular values based on various realizations. For certain systems, it is shown that the closed loop system and the compensator have maximum eigenvalues less than or equal to those of the original system
Keywords :
closed loop systems; compensation; discrete time systems; eigenvalues and eigenfunctions; matrix algebra; minimisation; closed-loop system; compensator design; compensator eigenvalues; controller; discrete systems; discrete time state space design techniques; maximum eigenvalues; maximum singular values; observer; system matrices; Control systems; Design methodology; Eigenvalues and eigenfunctions; Equations; Error correction; State feedback; Upper bound;
Conference_Titel :
System Theory, 1995., Proceedings of the Twenty-Seventh Southeastern Symposium on
Conference_Location :
Starkville, MS
Print_ISBN :
0-8186-6985-3
DOI :
10.1109/SSST.1995.390577
