DocumentCode
854067
Title
-optimal compensators for continuous-time systems
Author
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
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