Optimal input sets for time minimality in quantized control systems |
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Authors: | Alessia Marigo |
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Affiliation: | (1) Dipartimento di Matematica, Università di Roma “La Sapienza”, P. Aldo Moro 2, 00185 Roma, Italy |
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Abstract: | Limited capacity of communication channels has brought to the attention of many researchers the analysis of control systems
subject to a quantized input set. In some fundamental cases such systems can be reduced to quantized control system of type
x+=x+u, where the u takes values in a set of 2m+1 integer numbers, symmetric with respect to 0. In this paper we consider these types of systems and analyse the reachable
set after K steps. Our aim is to find a set of m input values such that the reachable set after K steps contains an interval of integers −N, . . . , N] with N as large as possible. For m=2,3 and 4, we completely solve the problem and characterize the metric associated to this quantized control system. |
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Keywords: | Quantized control systems Optimization problems Discrete input sets Communication constraints Motion planning |
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