Reduced-order observer design using a Lagrangian method

Mutsaers, Mark; Weiland, S.; Engelaar, R.C.

doi:10.1109/cdc.2009.5400927

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“…This relation is studied for instance in [7] for finite dimensional systems and in [8] for an H 2 -optimal estimator design for distributed parameter systems. In this paper, we will generalize this result to the optimal L 2 -gain estimator design problem in an infinite dimensional setting.…”

Section: Introductionmentioning

confidence: 98%

Optimal L<inf>2</inf>-gain estimator design for distributed parameter systems

Vissers

Weiland

2011

IEEE Conference on Decision and Control and European Control Conference

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This paper considers the optimal induced L2-gain estimator design problem for infinite dimensional systems with finite dimensional outputs. It is shown that this problem is equivalent to a dual regulator design problem. Moreover the relationship between the dual problem and a two player differential game is established. A solution to the latter problem is derived which, in turn solves the dual regulator design problem and the optimal estimator problem.

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Section: Introductionmentioning

confidence: 98%