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State-Space Quantization Design for the Suboptimal Control of Constrained Systems Using Neuromorphic Controllers

Sznaier, M. and Sideris, A. (1991) State-Space Quantization Design for the Suboptimal Control of Constrained Systems Using Neuromorphic Controllers. In: 1991 American Control Conference. IEEE , Piscataway, NJ, pp. 6-11. ISBN 0-87942-565-2. https://resolver.caltech.edu/CaltechAUTHORS:20170620-152710616

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Abstract

During the last few years there has been considerable interest in the use of trainable controllers based upon the use of neuron-like elements, with the expectation being that these controllers can be trained, with relatively little effort, to achieve good performance. However, good performance hinges on the ability of the neural net to generate a "good" control law even when the input does not belong to the training set, and it has been shown that neural-nets do not necessarily generalize well. It has been proposed that this problem can be solved by essentially quantizing the state-space and then using a neural-net to implement a table look-up procedure. However, there is little information on the effect of this quantization upon the controllability properties of the system. In this paper we address this problem by extending the theory of control of constrained systems to the case where the controls and measured states are restricted to finite or countably infinite sets. These results provide the theoretical framework for recently suggested neuromorphic controllers but they are also valuable for analyzing the controllability properties of computer-based control systems.


Item Type:Book Section
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Additional Information:© 1991 IEEE.
Record Number:CaltechAUTHORS:20170620-152710616
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170620-152710616
Official Citation:M. Sznaier and A. Sideris, "State-Space Quantization Design for the Suboptimal Control of Constrained Systems Using Neuromorphic Controllers," 1991 American Control Conference, Boston, MA, USA, 1991, pp. 6-11.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78387
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:21 Jun 2017 18:25
Last Modified:03 Oct 2019 18:08

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