TY - JOUR

T1 - Worst-case performance analysis with constrained uncertainty

AU - Seiler, Pete

AU - Packard, Andrew K.

PY - 2001

Y1 - 2001

N2 - In this paper, we examine the worst-case performance of a linear system with real parametric uncertainty. In particular, we will analyze the worst-case gain from disturbances to errors of a system subjected to 2 real, scalar uncertainties. The 2 scalar uncertainties are typically normalized so that they have absolute value less than or equal to one. In the parameter space, this constrains the uncertainties to lie in the unit cube. The contribution of this paper is that we also assume that the 2 scalar parameters are correlated. This correlation is represented by an additional offset rectangle constraint in the parameter space. The motivation for this problem is to use our knowledge of parameter correlation to remove some of the conservativeness in the standard performance analysis.

AB - In this paper, we examine the worst-case performance of a linear system with real parametric uncertainty. In particular, we will analyze the worst-case gain from disturbances to errors of a system subjected to 2 real, scalar uncertainties. The 2 scalar uncertainties are typically normalized so that they have absolute value less than or equal to one. In the parameter space, this constrains the uncertainties to lie in the unit cube. The contribution of this paper is that we also assume that the 2 scalar parameters are correlated. This correlation is represented by an additional offset rectangle constraint in the parameter space. The motivation for this problem is to use our knowledge of parameter correlation to remove some of the conservativeness in the standard performance analysis.

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M3 - Conference article

AN - SCOPUS:0035712519

SN - 0191-2216

VL - 2

SP - 1107

EP - 1112

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 40th IEEE Conference on Decision and Control (CDC)

Y2 - 4 December 2001 through 7 December 2001

ER -