ERROR-BOUNDS IN THE AVERAGING OF HYBRID SYSTEMS

被引：19
作者：
EZZINE, J [1 ]
HADDAD, AH [1 ]
机构：
[1] NORTHWESTERN UNIV,DEPT ELECT ENGN & COMP SCI,EVANSTON,IL 60208
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1989年 / 34卷 / 11期
关键词：
Automata Theory - Control Systems; Linear - Mathematical Techniques--Error Analysis - System Stability;
D O I：
10.1109/9.40750
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The authors analyze the error introduced by the averaging of hybrid systems. These systems involve linear systems which can take a number of different realizations based on the state of an underlying finite state process. The averaging technique (based on a formula from Lie algebras known as the Backer-Campbell-Hausdorff of BCH formula) provides a single system matrix as an approximation to the hybrid system. The two errors discussed are: (1) the error induced by the truncation of the BCH series expansion and (2) the error between the actual hybrid system and its average. A simple sufficient stability test is proposed to check the asymptotic behavior of this error. In addition, conditions are derived that allow the use of state feedback instead of averaging to arrive at a time-invariant system matrix.
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收藏
页码：1188 / 1192
页数：5
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