Abstract
The role of information in the context of control is a deep issue. To get at this, we review Witsenhausen’s notions of information patterns for control problems. While staying in that basic framework, we then use ideas from traditional information theory as we re-examine Witsenhausen’s famous “counterexample”. In the process, we construct a family of nonlinear “quantizing” control laws that can perform infinitely better than the best linear policies.
This research supported by U.S. Army Grant PAAL03-92-G-0115, Center for Intelligent Control Systems.
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References
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Dedicated to Bruce Francis and Mathukumalli Vidyasgar on the occasion of their fiftieth birthday.
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© 1999 Springer-Verlag London Limited
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Mitter, S., Sahai, A. (1999). Information and control: Witsenhausen revisited. In: Yamamoto, Y., Hara, S. (eds) Learning, control and hybrid systems. Lecture Notes in Control and Information Sciences, vol 241. Springer, London. https://doi.org/10.1007/BFb0109735
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DOI: https://doi.org/10.1007/BFb0109735
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