The use of a new optimization criterion for discrete-time feedback controller design
- 22 January 2003
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 1 (01912216) , 894-899
- https://doi.org/10.1109/cdc.1999.832906
Abstract
We introduce a class of linear discrete-time systems called "super stable". For the SISO case this means that the absolute value of the constant term of the characteristic polynomial is greater than the sum of absolute values of all other coefficients, while super stable MIMO systems have a state matrix with l/sub 1/ norm less than one. Such systems have many special features. Within the framework of these systems we can, using linear programming, design fixed-order controllers. We also address robustness issues, including robust performance for transfer functions with coprime factor uncertainty bounded in l/sub 1/ norm.Keywords
This publication has 6 references indexed in Scilit:
- A convex optimization approach to fixed-order controller design for disturbance rejection in SISO systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- State feedback controllers can be dynamicSystems & Control Letters, 1992
- Performance robustness of discrete-time systems with structured uncertaintyIEEE Transactions on Automatic Control, 1991
- l/sub 1/-optimality of feedback control systems: the SISO discrete-time caseIEEE Transactions on Automatic Control, 1990
- l^{1}-optimal feedback controllers for MIMO discrete-time systemsIEEE Transactions on Automatic Control, 1987
- Optimal rejection of persistent bounded disturbancesIEEE Transactions on Automatic Control, 1986