Fuzzy Control For Nonlinear Systems With Time-delays

There is usual time-delay phenomenon in control system and so systematic analysis and synthesis become more troublesome and difficult. Time-delay phenomenon becomes source of making systmatic performance become bad and instable. So systematic analysis and synthesis has been the hot topic in studying control engineering and control theory. With the development and progress of science and technology and the productive forces, control systems are becoming increasingly complex. Because of lacking of accurate mathematics model study on nonlinear time-delay system has practical and far meaning.The article has fuzzy control research on nonlinear time-delay system. The main research contents are as follows:1) The article researches on a class of nonlinear systems with time-delay parameter uncertainty robust H∞fuzzy control problem based on T-S model and adopts T-S fuzzy model to describe the system and uses linear matrix inequality and Lyapunov stability theory to design state feedback controller to maintain systmatic robust stability.2) The article researches on robust H∞fuzzy control problem of nonlinear uncertain time-delay singular system. The main purpose is to form the H∞state feedback controller, which makes closed loop system in the situation of time-delay and uncertain parameters be robust stable from beginning to end.3) The article researches on application of fuzzy number arithmetic operations in reasonable in time-delay fuzzy control system and reasonable fuzzy operator and gives reasonable arithmetic calculation of fuzzy number and the first using general extension principle and general Cartesian product gives the concept of reasonable arithmetic operations of fuzzy number and uses average reasonable operator to deal with fuzzy problem of nonlinear uncertain singular time-delay system.4) The article researches on robust H∞fuzzy control problem of nonlinear singular systems with time-delay distributions. By the form of the linear matrix inequality (LMI) the article gets the relative conditions of time-delay.