DocumentCode :
854067
Title :
-optimal compensators for continuous-time systemsAuthor :
Dahleh, Munther A. ; Pearson, Boyd J., Jr.
Author_Institution :
Massachusetts Institute of Technology, Cambridge, MA, USA
Volume :
32
Issue :
10
fYear :
1987
fDate :
10/1/1987 12:00:00 AM
Firstpage :
889
Lastpage :
895
Abstract :
Previous work has been concerned with minimizing the 
norm of an error pulse response for discrete-time SISO [1] and MIMO [2] systems. In this paper we study the problem of minimizing the L1-norm of the error impulse response for SISO continuous-time systems. This problem is quite different from the discrete-time problem in that irrational solutions are obtained even when the problem data are rational. Two methods are suggested for the solution of the continuous-time problem; an exact method which leads to a finite-dimensional nonlinear programming problem, and an approximate method which leads to a linear programming problem.
norm of an error pulse response for discrete-time SISO [1] and MIMO [2] systems. In this paper we study the problem of minimizing the L1-norm of the error impulse response for SISO continuous-time systems. This problem is quite different from the discrete-time problem in that irrational solutions are obtained even when the problem data are rational. Two methods are suggested for the solution of the continuous-time problem; an exact method which leads to a finite-dimensional nonlinear programming problem, and an approximate method which leads to a linear programming problem.Keywords :
Continuous-time systems; Optimal control, linear systems; Stability, linear systems; Computer science; Design methodology; Differential equations; Frequency; Gain; Nonlinear dynamical systems; Regulators; Robustness; Transfer functions; Uncertainty;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1987.1104455
Filename :
1104455
Link To Document :
