Abstract
In this chapter we consider the connection between the entropy and some related optimal control problems. In particular, it will be shown that the relationship that exists between the entropy of a time-invariant system and the H2 norm also carries over to the entropy formulation for timevarying systems that was introduced in Chapter 4. Specifically, it will be shown that the entropy is an upper bound for a quadratic cost operator, while maintaining a bound on the H∞ norm. It follows that the minimum entropy controller allows the designer to trade off between the robustness of the system and its H2 performance.
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© 1997 Springer Science+Business Media New York
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Peters, M.A., Iglesias, P.A. (1997). Connections With Related Optimal Control Problems. In: Minimum Entropy Control for Time-Varying Systems. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1982-8_5
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DOI: https://doi.org/10.1007/978-1-4612-1982-8_5
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7366-0
Online ISBN: 978-1-4612-1982-8
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