Abstract: Input-state linearization method is used for controlling chaos. The dynamic behaviors of a class of nonlinear feedback system are analyzed through simulation. It's proved by phase-locus and power-spectrum method that this system can produce chaotic behavior under some parameters and initial conditions. A feedback controller is designed with inputs-state linearization method, which realizes the stabilization and tracking in chaotic system. Simulation results are presented show the effectiveness of the method.

Key words: Chaos, Input – state linearization, Nonlinear control system, Stabilization, Tracking, Bionic, Drilling pump piston, Groove shape, Life-span, Wear