DocumentCode
1501286
Title
Sign-weighted peak minimization problem for feedback systems
Author
Yoon, Myung-Gon
Author_Institution
Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan
Volume
46
Issue
6
fYear
2001
fDate
6/1/2001 12:00:00 AM
Firstpage
943
Lastpage
948
Abstract
This note studies the problem of minimizing a parameterized convex combination of the overshoot and undershoot of a single-input-single-output (SISO) discrete-time system to a fixed input. We provide a simple condition for the solution existence and characterize the structure of optimal solutions. It is shown that a known l∞ suboptimal scheme also works in our problem. In addition, we make a comparative analysis with the l∞ problem
Keywords
control system synthesis; discrete time systems; feedback; minimisation; optimal control; suboptimal control; SISO discrete-time system; controller design; feedback systems; fixed input; l∞ suboptimal scheme; parameterized convex combination; sign-weighted peak minimization problem; Control systems; Differential equations; Feedback control; Negative feedback; Optimal control; Sampling methods; Stability; Stochastic processes; Stochastic systems; White noise;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.928601
Filename
928601
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