The present application relates to
finite time reduced dimension observer design method and
chaotic communication
system, belong to
information security and
chaotic communication field. In view of the defects of traditional asymptotic observer slow, time is uncontrollable, sliding mode method exists chattering and message
signal pollution output is difficult to construct observer, the present application establishes the
chaotic drive
system containing message
signal embedding, constructs the
equivalent system without unknown
signal, designs
finite time reduced dimension
observer based on observer matching condition and strong
observable condition. Compared with the traditional asymptotic convergence observer method, the present application can realize the complete synchronization of chaotic
system within the user preset time, adopts continuous control law without chattering, and the message signal can be accurately recovered through algebraic formula. The synchronization time of the present application is controllable, the convergence speed is fast, the
recovery precision is high, and the robustness is strong, which is suitable for various chaotic
secure communication scenes, effectively improves the communication real-time, security and
engineering practicability.