On Non-Linearities Separate Modeling Method and State Feedback Control

Abstract

Modeling method of non-linearities objects controlled have more problem and difficulty. Based on the increment function observer (IFO-Kx), this paper gives the mathematical conceptions of Increment Function Observer with variable gain IFO-K(T(t)) x and the Increment full dimension State Observer with variable gain ISO-T(t) x, which makes the application of increment observer extending to non-linear slow-time-varying controlled system. In this paper, the sufficient condition of IFO-K(T(t)) x and ISO-T(t) x is presented, and comparing this condition with the sufficient and necessary condition of increment function observer, the useful conclusion for practical engineering can be obtained that the design of increment observer can avoid seeking the solution of Sylvester matrix equation, which provides the more maturity theory foundation for the engineering application of incremental observer.