Discrete Walsh polynomials in the optimal control of linear digital time-varying systems
作者:
ING-RONG HORNG,
SHINN-JANG HO,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 43,
issue 2
页码: 615-627
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933488
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The discrete Walsh polynomials are applied to solve the digital optimal control of time-varying systems in this study. Due to the elegant properties of operational matrices of discrete Walsh polynomials, the class of digital time-varying problems can be analysed successfully. The design algorithms of digital optimal control are based on the discrete variational principle combined with the idea of a penalty function to obtain directly computational formulations for evaluating the optimal control and state trajectory. An example is given to illustrate the usefulness of the method, and the results are very accurate.
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