Derivation of an extended minimum control synthesis algorithm with application to the speed control of an AC machine

In this paper, a new minimum control synthesis (MCS) adaptive control law denoted extended minimum control synthesis (EMCS) as applied to a first order SISO plant, is described. The main motivation behind the derivation of the EMCS control law is to enhance the robustness properties of the MCS algorithms. It is shown that by adding suitably designed elements to the MCS algorithms the resulting EMCS algorithm rejects the effect of bounded and rapidly varying plant parameters, external disturbances and plant nonlinearities. The SISO EMCS control is given by: u/sub 2/=[/sup /spl Upsi//+[1/b/sub i/]/spl gamma//sup T/]W+Nsign(y/sub n/) where: the parameter N can be empirically chosen so that the error x/sub e/ is globally asymptotically stable; if the saturation limits of the control signal are known, then the constant N can be chosen so that: u/sub sat//sup -//spl les/N/spl les/u/sub sat//sup +/. Finally the problem of EMCS speed control, as applied to an AC machine is presented.