TY - GEN

T1 - H∞ sensitivity minimization for unstable infinite-dimensional plants

AU - Rodriguez, Armando

AU - Cloutier, James R.

PY - 1993

Y1 - 1993

N2 - This paper considers the problem of designing near-optimal finite-dimensional compensators for unstable infinite-dimensional plants. Standard weighted H∞ sensitivity measures are used to define the notion of optimality. The method of solution is based on finite-dimensional techniques applied to finite-dimensional approximants of the original plant. The difficulties which arise from such an approach can be attributed to two factors. First, there is the lack of continuity of the performance measures with respect to perturbations in the plant, even with the graph topology. Second, there are many infinite-dimensional plants which cannot be approximated uniformly in the graph topology. It is shown in this paper, for the sensitivity minimization problem, that it is sufficient to obtain approximants of the plant on compact sets, provided that the inner part of the plant's `numerator coprime factor' is approximated in some sense. Constructive algorithms are presented. New results on the convergence of actual closed loop transfer functions are also given.

AB - This paper considers the problem of designing near-optimal finite-dimensional compensators for unstable infinite-dimensional plants. Standard weighted H∞ sensitivity measures are used to define the notion of optimality. The method of solution is based on finite-dimensional techniques applied to finite-dimensional approximants of the original plant. The difficulties which arise from such an approach can be attributed to two factors. First, there is the lack of continuity of the performance measures with respect to perturbations in the plant, even with the graph topology. Second, there are many infinite-dimensional plants which cannot be approximated uniformly in the graph topology. It is shown in this paper, for the sensitivity minimization problem, that it is sufficient to obtain approximants of the plant on compact sets, provided that the inner part of the plant's `numerator coprime factor' is approximated in some sense. Constructive algorithms are presented. New results on the convergence of actual closed loop transfer functions are also given.

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U2 - 10.23919/acc.1993.4793263

DO - 10.23919/acc.1993.4793263

M3 - Conference contribution

AN - SCOPUS:0027335283

SN - 0780308611

SN - 9780780308619

T3 - American Control Conference

SP - 2155

EP - 2159

BT - American Control Conference

PB - Publ by IEEE

T2 - Proceedings of the 1993 American Control Conference

Y2 - 2 June 1993 through 4 June 1993

ER -