Chaotifying a stable Takagi-Sugeno fuzzy system by a sawtooth nonlinearity

• 来源期刊: 中国物理（英文版）
• 关键词: chaos chaotification TS fuzzy system chaos control
• 年，卷（期）: 2005,（1）
• 页码范围: 67-71
• 页数: 5页
• 语种: 英文

摘要

The problem of making a stable Takagi-Sugeno (TS) fuzzy system chaoticby using the state feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth function of the system state.The improved Marotto theorem has been obtained and applied to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to visualize and illustrate the theoretical results.