A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants
Date
2005-11Source Title
Systems and Control Letters
Print ISSN
0167-6911
Publisher
Elsevier
Volume
54
Issue
11
Pages
1063 - 1068
Language
English
Type
ArticleItem Usage Stats
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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.
Keywords
H∞ controlInfinite-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