基于双边闭环函数的T-S模糊模型非线性系统网络跟踪控制

Network Tracking Control of T-S Fuzzy Model Nonlinear System Based on Bilateral Closed-Loop Function

研究了一类基于T-S模糊模型的非线性系统网络跟踪控制问题。首先基于输入时滞法,建立了考虑网络诱导时滞和数据丢包的T-S模糊模型非线性系统跟踪误差模型;然后利用采样区间[t_(k),t_(k+1))信息,构建了一个新的双边闭环Lyapunov-Krasovskii(L-K)泛函,并使用新的L-K泛函和自由权矩阵积分不等式,得到了非线性网络系统H_(∞)跟踪控制的稳定性判据,以及控制器的设计方法。仿真结果表明,在相同网络条件下,所设计模糊控制器产生的跟踪误差相比已有文献结果明显更小;在相同的H_(∞)跟踪性能要求下,比已有文献具有更大的输入时滞上界,表明相较于现有方法,所提方法的保守性更低。

A research has been conducted on the problem of network tracking control for a class of nonlinear systems based on T-S fuzzy model.By adopting the input-delay method,a T-S fuzzy model nonlinear system tracking error model has been established,with network-induced delay and packet loss taken into consideration.Furthermore,by using the information of the sampling interval[t_(k),t_(k+1)),a new bilateral closed-loop Lyapunov-Krasovskii(L-K)functional is proposed,followed by an application of the proposed L-K functional and free-matrix-based integral inequality,thus obtaining the stability criterion for H_(∞)tracking control of nonlinear network systems and the design of the controllers.The simulation results show that under the same network conditions,the designed fuzzy controller has a significantly smaller tracking errors than that of the existing literature;under the same H_(∞)tracking performance requirements,the proposed method is characterized with a larger upper bound of input delay than the existing methods,indicating that the proposed method is less conservative than the existing methods.