DELTA-OPERATOR FORMULATED DISCRETE-TIME APPROXIMATIONS OF CONTINUOUS-TIME SYSTEMS

被引：32
|
作者：
PREMARATNE, K
SALVI, R
HABIB, NR
LEGALL, JP
机构：
[1] Department of Electrical and Computer Engineering, University of Miami, Coral Gables
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 03期
关键词：
Algorithms - Approximation theory - Computational methods - Control system analysis - Control theory - Integration - Mathematical operators;
D O I：
10.1109/9.280764
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a continuous-time system, a technique to directly obtain an approximate delta-operator formulated discrete-time system (delta-system) is presented. For this purpose, the analog of the well known Boxer-Thaler integrators (q-forms) applicable to shift-operator formulated discrete-time systems (q-systems) are derived for delta-systems. Next, using these delta-forms, a method to obtain an approximate delta-system of a given continuous-time system is derived. This algorithm is easily implementable in a computer with little computational burden. It is shown that, as sampling time decreases, the delta-system thus obtained yields the given continuous-time system further verifying the close equivalence between this formulation and continuous-time systems. Two examples illustrating advantages that may be gained by utilizing these delta-forms in digitizing analog systems are also included.
引用
收藏
页码：581 / 585
页数：5
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