Neural-network-based stable control by using harmonic analysis -: Application to a nonlinear DC motor drive

In this paper, we make an application of the harmonic balance (HB) analysis technique for studying oscillations in neural-network-based control systems where the closed-loop system can be transformed into a linear and a feedback nonlinear part ("Lur regulator problem"). The main goal of the present paper is to establish a test for the stability of limit cycles arising from a neural-network-control-based scheme operating over continuous nonlinear plants. The HB technique has been applied to the stability analysis of a quasilinearised nonlinear DC motor drive. The simple geometric interpretation of this technique contrasts other stability analysis techniques, such as Lyapunov, Input/Output, etc.