Frequency response algorithms for H∞ optimization with time domain constraints

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