Applying Chaotic Theory To Parameter Estimation

This paper includes three parts: applying chaotic theory to parameter estimation; frequency measuring based on chaotic theory; studies of mechanism characterized the information processing in biological sense perception organ based on chaotic theory. High precision parameter estimation is very important to the control system design and compensation. This paper utilizes the properties of chaotic system for parameter estimation. Theoretical analysis and experimental results indicate that this method has extremely high sensitivity and resolving power. One of the most important features in measuring signals is the system itself should be controllable, repeatable, or to put briefly, stable. However the main character of chaos system being extremely sensitive to the initial condition and to the parameters is unstable. In this article we will attend to show how frequency measuring is implemented with chaos. With the tools of nonlinear dynamics, we find the similarity between chaotic system and neural computation, which just is the nonlinear of system and analog of status. A chaotic circuit simulates the function of neural system is presented and discussed. Experimental observations reveal that chaotic properties are the reason of the selective sensitivity to small fluctuations and the capacity for rapid state transitions of neurobiological system.