On the reachability of quantized control systems

被引：98

作者：

Bicchi, A ^{[1
]}

Marigo, A

Piccoli, B

机构：

[1] Univ Pisa, Enrico Piaggio Interdepartmental Res Ctr, I-56127 Pisa, Italy

[2] SISSA, ISAS, I-34014 Trieste, Italy

[3] Univ Salerno, Dept Informat Engn & Appl Math, I-84084 Fisciano, SA, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 04期

关键词：

chained-form systems; discrete controllability theory; embedded control systems; hybrid systems; quantized control systems;

D O I：

10.1109/9.995034

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study control systems whose input sets are quantized, i.e., finite or regularly distributed on a mesh. We specifically focus on problems relating to the structure of the reachable set of such systems, which may turn out to be either dense or discrete. We report results on the reachable set of linear quantized systems, and on a particular but interesting class of nonlinear systems, Le., nonholonomic chained-form systems. For such systems, we provide a complete characterization of the reachable set, and, in case the set is discrete, a computable method to completely and succinctly describe its structure. Implications and open problems in the analysis and synthesis of quantized control systems are addressed.

引用

页码：546 / 563

页数：18