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Some results on inverse optimality based designs

✍ Scribed by Boumediene Hamzi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
108 KB
Volume
43
Category
Article
ISSN
0167-6911

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✦ Synopsis

Our objective in this paper is to give some results on inverse optimal designs in view of robustness to known=unknown, but ignored input dynamics. This problem comes from the presence of actuators or the wish for using simpliΓΏed models. Stabilizing control laws may not be robust to this type of uncertainties. By exploiting the robustness of optimal controllers, "domination redesign" of the control Lyapunov function based on Sontag's formula has been shown to possess robustness to static and dynamic input uncertainties. In this paper we provide some results on designs based on inverse optimality.

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A k-design is a family B ={B 1 , B 2 ,...,B v } of subsets of X ={1, 2,...,v} such that |B i ∩B j |=k for all i = j and not all B i are of the same size. The only known example of k-designs (called type-1 designs) are those obtained from symmetric designs by a certain complementation procedure. Ryse