PERIODIC-SOLUTIONS OF RICCATI-EQUATIONS APPLIED TO MULTIRATE SAMPLING

被引:23
作者
LENNARTSON, B
机构
[1] Chalmers Univ of Technology, Sweden
关键词
Control Systems; Discrete Time--Analysis;
D O I
10.1080/00207178808906233
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
From some basic relations in estimation theory, formulas are obtained for the periodic solution of Riccati equations. To obtain numerically stable algorithms, square root formulations are introduced. Both the discrete-time and continuous-time cases are considered. Closed-loop properties for periodic systems are also investigated. The results are applied to multirate measurement sampling. The control of a continuous stirred tank reactor serves as an illustrative example. The temperature measurements are complemented by concentration analysis available at a slower rate than the basic sampling and control rate. The results give some guidelines about the benefits of multirate sampling.
引用
收藏
页码:1025 / 1042
页数:18
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