In order to obtain the phase plane of higher order nonlinear control system, a new graphic method of phase locus of phase plane for higher order nonlinear .

This paper introduces using the simulink tools to draw non-linear system phase locus by three examples.

A new simple algorithm to calculate the center and radius of an arc in order to realize the phase locus of higher order nonlinear control system based on the principle of plotting the phase plane of second-order linear system usingδmethod is proposed, and thus, the phase plane of the high-order nonlinear system has been obtained.

Based on the rate equations of semiconductor lasers with optical feedback,we constructed a delay non-linear system,and studied its chaotic dynamics characters,which included the space trajectory,the largest Lyapunov exponent,correlation dimension.

By comparing the relative trajectory calculated by the Lawden’s equations and that by numerical integral method, it is concluded that the homogenous solutions of Lawden’s equations are non-periodical, and the initial condition, which is selected to satisfy the periodical solutions, is a compulsory one irrelevant to the condition of long-term formation flying.

Finally, The stability was investigated according to the phase trajectory.

The total degree of vibration of the spring oscillator is estimated and the phase trajectory is obtained.