A NOVEL STABILITY CONDITION AND ITS APPLICATION TO GA-BASED FUZZY CONTROL FOR NONLINEAR SYSTEMS WITH UNCERTAINTY

作者：Chen Po Chen; Chen Cheng Wu^*; Chiang Wei Ling; Yeh Ken

来源：Journal of Marine Science and Technology-Taiwan, 2009, 17(4): 293-299.

DOI：10.51400/2709-6998.1985

• modified adaptive fuzzy sliding mode control
• Lyapunov direct method
• genetic algorithm

In this study, we strive to combine the advantages of fuzzy logic control (FLC), genetic algorithms (GA), H(infinity) tracking control schemes, smooth control and adaptive laws to design an adaptive fuzzy sliding model controller for the rapid and efficient stabilization of complex and nonlinear systems. First, we utilize a reference model and a fuzzy model (both involving FLC rules) to describe and well-approximate an uncertain, nonlinear plant. The FLC rules and the consequent parameter are decided on via GA. A boundary-layer function is introduced into these updated laws to cover modeling errors and to guarantee that the state errors converge into a specified error bound. After this, a H(infinity) tracking problem is characterized. We solve an eigenvalue problem (EVP), and derive a modified adaptive neural network controller (MANNC) to simultaneously stabilize and control the system and achieve H(infinity) control performance. Furthermore, a stability criterion is derived utilizing Lyapunov's direct method to ensure the stability of the nonlinear system. Finally, the control methodology is demonstrated via a numerical simulation.

• 出版日期2009-12
• 单位中央民族大学