On the characteristics of the parameter-perturbation process dynamics

This paper investigates the characteristics of the dynamics of a parameter-perturbation process in a continuous linear system. These characteristics are studied in the performance index-parameter space for a positive definite performance index function. In particular, the relationship between the static sensitivity function and the process quasilinear dynamics is established, and the minimum and nonminimum phase phenomena of the dynamics are examined. It is shown that the process quasilinear dynamics, from parameter variations to the dynamic response in the error-criterion function, are the nonminimum phase type if the quiescent value of the parameter lies on the negative slope side of the static error-transfer characteristics and derivative type at the optimum value of the parameter. Theoretical and analog simulation results are presented for a particular system.