Best tracking and regulation performance under control effort constraint : Two-parameter controller case

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)497-502
Journal / PublicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number1
Publication statusPublished - 2002
Externally publishedYes


Title15th World Congress of the International Federation of Automatic Control (IFAC World Congress 2002)
Period21 - 26 July 2002


This paper studies optimal tracking and regulation control problems by two-parameter controllers, in which objective functions of tracking error and regulated response, defined by integral square measures, are to be minimized jointly with the control effort, where the latter is measured by the plant input energy. The approach here is similar to our recent study for one-parameter controller case, and the problems are solved explicitly by deriving analytical expressions for the best achievable performance. Besides the plant non-minimum phase zeros, time delays, and unstable poles, the results reveal and quantify how the gain characteristics of the plant may all affect the performance. These effects are nonexistent when the control effort is not taken into account.

Research Area(s)

  • H2 control, Performance limitation, Two-parameter feedback system, Unstable poles and zeros