Optimal input sets for time minimality in quantized control systems

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. Keywords Quantized control systems

• Type: Journal
• Year: 2006
• Where: MCSS
• Authors: Alessia Marigo
• Keywords: Abstract Limited Capacity, Control Systems, MCSS 2006, Quantized Input