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Frequency response algorithms for H optimization with time domain constraints

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2 Author(s)
Helton, J.W. ; Dept. of Math., California Univ., San Diego, La Jolla, CA, USA ; Sideris, A.

A very broad framework for control system design is considered that encompasses frequency-response methodologies for H optimization that solve various aspects of the control design problem and that are less well known that state-space methods. The focus is on linear programming, Lawson's algorithm, and Trefethen's algorithm. A modified Lawson's algorithm is proposed and related to Trefethan's method. The modified algorithm is shown to be significantly faster than linear programming and Lawson's algorithm. It is also shown how to extend the modified Lawson's algorithm so as to handle time-domain constraints in addition to frequency-domain specifications, which distinguishes it from other H optimization methods. Some steps are taken toward dealing with time domain constraints within an H optimization framework

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Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 4 )