A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants
Date
2005-11
Authors
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Source Title
Systems and Control Letters
Print ISSN
0167-6911
Electronic ISSN
Publisher
Elsevier
Volume
54
Issue
11
Pages
1063 - 1068
Language
English
Type
Article
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Abstract
This paper considers the mixed sensitivity optimization problem for a class of infinite-dimensional stable plants. This problem is reducible to a two- or one-block H∞ control problem with structured weighting functions. We first show that these weighting functions violate the genericity assumptions of existing Hamiltonian-based solutions such as the well-known Zhou-Khargonekar formula. Then, we derive a new closed form formula for the computation of the optimal performance level, when the underlying plant structure is specified by a pseudorational transfer function.
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Keywords
H∞ control, Infinite-dimensional systems, Mixed sensitivity optimization, Pseudorational transfer function, Skew-Toeplitz approach, Computational methods, Control systems, Hamiltonians, Optimization, Problem solving, H<sup>∞</sup> control, Infinite-dimensional systems, Mixed sensitivity optimization, Skew-Toeplitz approach, Sensitivity analysis