Coefficient Estimation in Adaptive Control Systems

Abstract

In Chapter 4 we discussed the coefficient estimation problem for linear stochastic systems without monitoring, i.e. there is no specific purpose for the system input. In order for the coefficient estimate to be consistent, we have clarified how the stochastic regressors φ _n or φ ⁰ _n or ψ _n should behave. Unfortunately, as to be shown in this chapter, the required properties of φ _n or φ ⁰ _n or ψ _n , in general, may not be satisfied for adaptive control systems.