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Mathematical Problems in Engineering
Volume 2015, Article ID 523197, 12 pages
http://dx.doi.org/10.1155/2015/523197
Research Article

Controller Design of Complex System Based on Nonlinear Strength

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Received 21 February 2015; Accepted 3 May 2015

Academic Editor: Rafael Morales

Copyright © 2015 Rongjun Mu and Chao Cheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a new idea of controller design for complex systems. The nonlinearity index method was first developed for error propagation of nonlinear system. The nonlinearity indices access the boundary between the strong and the weak nonlinearities of the system model. The algorithm of nonlinearity index according to engineering application is first proposed in this paper. Applying this method on nonlinear systems is an effective way to measure the nonlinear strength of dynamics model over the full flight envelope. The nonlinearity indices access the boundary between the strong and the weak nonlinearities of system model. According to the different nonlinear strength of dynamical model, the control system is designed. The simulation time of dynamical complex system is selected by the maximum value of dynamic nonlinearity indices. Take a missile as example; dynamical system and control characteristic of missile are simulated. The simulation results show that the method is correct and appropriate.