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以模糊模型为基础的控制技术为非线性系统的研究提供了有效的方法,而对于连续的T-S模糊系统,在对模糊Lyapunov函数求导进而研究系统的稳定性的时候,不可避免的会产生一定的保守性。基于广义系统方法研究了连续T-S广义模糊系统的稳定性问题。通过引入新的变量给出了开环模糊系统的一个宽松稳定条件。然后通过引入新的变量和使用新的松弛技术,得到了一类non-PDC(Parallel Distributed Compensation)控制器的设计方法。该方法具有比现有结果更小的保守性。所得到的定理均通过线性矩阵不等式组表出。数值算例的结果证明了结论的有效性和所得条件具有较低的保守性。
The fuzzy model-based control technique provides an effective method for nonlinear system research. For continuous TS fuzzy systems, when studying the stability of the fuzzy Lyapunov function, it will inevitably produce certain Conservative. Based on the generalized system method, the stability of continuous T-S generalized fuzzy systems is studied. By introducing new variables, a loosely stable condition of the open-loop fuzzy system is given. Then, by introducing new variables and using the new relaxation technique, a design method of a class of non-PDC (Parallel Distributed Compensation) controller is obtained. This method has less conservativeness than the existing one. The resulting theorem is shown by the linear matrix inequality group. The numerical example shows that the validity of the conclusion and the obtained conditions are low conservative.