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Design of piecewise constant gains for optimal control via Walsh functions

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2 Author(s)
Chih-Fan Chen ; University of Houston, Houston, Texas ; Chi-Huang Hsiao

This paper presents a technique for determinating time-varying feedback gains of linear systems with quadratic performance criteria. The gains are approximated by the piecewise constants which axe naturally determined by Walsh functions. After introducing Walsh functions in the beginning we develop an operational matrix for solving state equations. Then using the operational matrix we solve the piecewise constant gains problem.

Published in:

Automatic Control, IEEE Transactions on  (Volume:20 ,  Issue: 5 )