CONTROL ORIENTED SYSTEM-IDENTIFICATION - A WORST-CASE DETERMINISTIC APPROACH IN H-INFINITY

被引:228
作者
HELMICKI, AJ
JACOBSON, CA
NETT, CN
机构
[1] GEORGIA INST TECHNOL,SCH AEROSP ENGN,IDENTIFICAT & CONTROL COMPLEX HIGHLY UNCERTAIN SYST LAB,ATLANTA,GA 30332
[2] NORTHEASTERN UNIV,DEPT ELECT & COMP ENGN,BOSTON,MA 02115
关键词
D O I
10.1109/9.90229
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 formulate and solve two related control-oriented system identification problems for stable linear shift-invariant distributed parameter plants. In each of these problems the assumed a priori information is minimal, consisting only of a lower bound on the relative stability of the plant, an upper bound on a certain gain associated with the plant, and and upper bound on the noise level. In neither case are any assumptions made concerning the structure of either the plant (i.e., dynamic order, relative order, etc.) or the noise (i.e., zero-mean, etc.). The first of these problems involves identification of a point sample of the plant frequency response from a noisy finite output time series obtained in response to an applied sinusoidal input with frequency corresponding to the frequency point of interest. This problem leads naturally to the second problem, which involves identification of the plant transfer function in H infinity from a finite number of noisy point samples of the plant frequency response. Concrete plans of identification algorithms are provided for each of these two problems. Explicit worst-case/deterministic error bounds are provided for each algorithm in these plans. These bounds establish that the given plans of algorithms are robustly convergent and (essentially) asymptotically optimal. Additionally, these bounds provide an a priori computable H infinity uncertainty specification, corresponding to the resulting identified plant transfer function, as an explicit function of the plant a priori information, noise a priori information, and experiment duration. As such, the approach to system identification developed in this paper is well-suited for use in conjunction with currently popular H infinity robust control design methods, and for this reason may be regarded as being inherently control-oriented.
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页码:1163 / 1176
页数:14
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