Nowadays, the international control academia has formed a relatively complete analysis method and controller design theory system for the research of linear system. However, linear models only idealize and approximate actual objects, and cannot fundamentally reveal nonlinear phenomena. For example, for linear electronic components such as resistors, there may be a phenomenon of “linear distortion” or nonlinear characteristics when affected by factors such as temperature and humidity changes and self-aging. Therefore, nonlinear system is considered to be the most common system form in nature and engineering technology, which has important research significance. The practical systems in important fields such as aerospace, rail transit, ocean exploration, and power system are typical complex nonlinear systems.

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Introduction

  • Hongru Ren,
  • Hui Ma,
  • Qi Zhou,
  • Renquan Lu

摘要

Nowadays, the international control academia has formed a relatively complete analysis method and controller design theory system for the research of linear system. However, linear models only idealize and approximate actual objects, and cannot fundamentally reveal nonlinear phenomena. For example, for linear electronic components such as resistors, there may be a phenomenon of “linear distortion” or nonlinear characteristics when affected by factors such as temperature and humidity changes and self-aging. Therefore, nonlinear system is considered to be the most common system form in nature and engineering technology, which has important research significance. The practical systems in important fields such as aerospace, rail transit, ocean exploration, and power system are typical complex nonlinear systems.