一类非线性网络化控制系统的滑模变结构控制

摘要

基于滑模控制系统滑动模态不变性和T-S模糊模型能有效解决菲线性系统建模的优点,研究了一类具有时延和丢包的非线性网络化控制系统的滑模变结构控制问题.采用滑模控制理论设计控制器,证明了在控制器作用下系统能在有限时间内到达滑模面并一直保持在滑模面上,并根据Lyapunov理论和线性矩阵不等式(LMI)方法推证出了系统状态全局稳定的充分条件.最后以一个仿真算例验证了本文方法的可行性和有效性.%Based on the advantages of sliding mode control with sliding mode invariance and nonlinear system modeling with T-S fuzzy model, a class of nonlinear networked control system with delay and packet dropout was studied using variable-structural control with sliding mode. A controller was designed using the sliding mode control theory and it was proved that the system was under control within a limited time to reach the sliding surface and then remained in the sliding surface. Based on the Lyapunov theory and linear matrix inequality (LMI) method a sufficient condition was deducted out of the system state for global stability. Finally, an example was used to illustrate the effectiveness and feasibility of the proposed approach.