区间二型T-S模型网络控制系统的鲁棒H_∞控制

Robust H_∞ Control for Interval Type-2 T-S Model-based Networked Control Systems

针对一类具有网络诱导时滞和参数不确定的网络控制系统,研究鲁棒H_∞控制器设计问题。基于区间二型T-S模型,通过构造合适的Lyapunov-Krasovskii泛函,引入自由权矩阵来表示Newton-Leibniz公式中各项之间的关系,加入一些附加项,运用不等式放缩和矩阵分解技巧,设计了使系统渐近稳定并满足H_∞性能指标的状态反馈控制器。最后,通过数值仿真实例验证了设计方法的有效性。

This paper deals with the problems of robust H_∞controller design for a class of networked control systems with network-induced delays and parameter uncertainties.Based on interval type-2 T-S model,by constructing an appropriate Lyapunov-Krasovskii functional and introducing free-weighting-matrices to express the relations among the items in Newton-Leibniz formula and adding some additional terms as well as using inequality scaling and matrix decomposition technique,a state feedback controller is developed to make the systems become asymptotically stable and satisfy a prescribed H_∞performance.Finally,the effectiveness of the design method is verified by simulation result.