Abstract
This chapter is devoted to the following topics:
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Riccati controller and Riccati matrix differential sensitivity with respect to changes in parameters, supposing that the system matrix and the input matrix depend on these parameters.
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Differential sensitivity of an index of performance with respect to parameters contained in the system and input matrix. When I should be minimized with respect to p, the zeros of ∂I/∂p are calculated. In order to apply Newton-Raphson algorithm the second derivative ∂2 I / ∂pT∂p is determined.
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Reducing performance sensitivity can be achieved via gradient methods, augmenting the index of performance by differential sensitivity expressions.
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Control actions softer than optimal control are obtained when a prespecified index of performance is approached via gradient methods.
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© 1991 Springer-Verlag Wien
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Weinmann, A. (1991). Optimal Control and Performance Sensitivity. In: Uncertain Models and Robust Control. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6711-3_9
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DOI: https://doi.org/10.1007/978-3-7091-6711-3_9
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7390-9
Online ISBN: 978-3-7091-6711-3
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