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研究了一类带有参数不确定性模糊T-S系统的状态反馈保成本控制问题。通过使用阶梯隶属度函数来近似模糊模型和控制器的隶属度函数,应用Lyapunov稳定性理论,得到了一组新的隶属度函数相关的系统渐近稳定充分条件,该条件可用线性矩阵不等式(LMIs)表示。最后通过仿真验证了该方法的有效性,结果表明,通过取得较小的阶梯宽度,系统可以具有更小的保守性和更好的动态性能。
The state feedback guaranteed cost control problem for a class of fuzzy T-S systems with parameter uncertainty is studied. By using the membership function of the staircase to approximate the membership function of the fuzzy model and the controller, a set of new sufficient conditions for the asymptotic stability of the system related to membership functions are obtained by applying the Lyapunov stability theory. This condition can be described by the linear matrix inequalities (LMIs) ) Said. Finally, the effectiveness of this method is verified through simulation. The results show that the system can have less conservativeness and better dynamic performance by getting a smaller step width.