| Methods for nonlinear control include: phase plane method, describing function method, Lyapunov stability theory, Differential Geometry method, differential-algebraic methods, variable structure control theory, Inverse system method, neural networks, non-linear frequency-domain control theory , chaotic dynamics and so forth. Each method and theory above mentioned has its own applied subjects and fields, advantages and disadvantages. Furthermore, inadequate analysis on the controllability research of nonlinear system has provided a new idea for this article which has done a thorough analysis on the controllability of nonlinear system and laid a foundation for analyzing other system stability and performance indicators.This article first sets up an intelligent nonlinear system model with a range of subject depicted, and analyses the transform and approximate characteristics between nonlinear system and inteligent system as well as the dynamics. Based on the typeâ… system, it then depicts the transform characteristic of state space.By establishing a element space and matrix methodology, a motion in state space is transformed into an approximate element,which brings about a conclusion that matrix methodology can be used in nonlinear system motion analysis. In this article, the concepts of quasi-work element, work element, controllable element and controllable domain have been defined. The controllability analysis of typeâ… system has been conducted by using a matrix principle in the element space and relevant criteria have been provided accordingly.At the end of this article, two application instances on inteligent system are provided. |
