On the Optimal Controller for LTV Measurement Feedback Control Problem |
Received:October 25, 2010 Revised:April 22, 2011 |
Key Words:
LTV systems nest algebra control optimal controller duality.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10971020). |
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Abstract: |
In this paper, we consider the measurement feedback control problem for discrete linear time-varying systems within the framework of nest algebra consisting of causal and bounded linear operators. Based on the inner-outer factorization of operators, we reduce the control problem to a distance from a certain operator to a special subspace of a nest algebra and show the existence of the optimal LTV controller in two different ways: one via the characteristic of the subspace in question directly, the other via the duality theory. The latter also gives a new formula for computing the optimal cost. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2011.03.002 |
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