Adaptive generalized generic model control and stability analysis

Abstract

In this article, an adaptive control method—adaptive generalized generic model control (AGGMC) is proposed for a class of nonlinear time-varying processes by use of a modified strong tracking filter (MSTF). It inherits all of the advantages of generic model control (GMC) and extends GMC to nonlinear time-varying processes with relative orders larger than ones. Sufficient conditions under which the MSTF is asymptotically convergent are first derived, then, with these conditions, the resultant closed-loop system under the AGGMC is proved to be Lyapunov stable. Finally, simulation studies are provided to validate the effectiveness of the proposed approach.