The Best Achievable í“—2 Tracking Performances for SIMO Feedback Control Systems

Hara, Shinji; Bakhtiar, Toni; Kanno, Masaaki
January 2007
Journal of Control Science & Engineering;2007, Vol. 2007, p1
Academic Journal
This paper is concerned with the inherent H2 tracking performance limitation of single-input and multiple-output (SIMO) linear time-invariant (LTI) feedback control systems. The performance is measured by the tracking error between a step reference input and the plant output with additional penalty on control input. We employ the plant augmentation strategy, which enables us to derive analytical closed-form expressions of the best achievable performance not only for discrete-time system, but also for continuous-time system by exploiting the delta domain version of the expressions.


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