T-S模糊控制系统的虚拟等价系统及稳定性判据

Virtual equivalent system and stability criteria for T-S model based fuzzy control systems

针对未知确定性被控对象和未知非线性时变对象,通过构造虚拟等价系统的方法研究T--S模糊控制系统的稳定性.采用虚拟等价系统的目的在于降低原问题的难度,改进现有稳定性判据的保守性.分析结果表明,T--S模糊控制系统的稳定性主要取决于局部模型的精度、模糊规则的正确性以及局部控制器的镇定性.

The stability of a T-S model based fuzzy control system for both the discrete,linear time-invariant object and the nonlinear time-varying object is analyzed with the help of constructing a related virtual equivalent system.The purpose of adopting the virtual equivalent system is to reduce the difficulty of analyzing the stability of the fuzzy control system and to improve the conditions of existing stability criteria.The results indicate that the stability of the fuzzy control system depends on the precision of local models,the effectiveness of fuzzy rules,and the stabilizing characteristic of each local controller.