线性时变不确定系统的滑模控制及其在网络拥塞中的应用

Sliding Mode Control of Uncertain Time-Varying Linear Systems and Its Application to Network Congestion

针对一类具有时变不确定性的线性不确定系统,给出了一种基于滑模的鲁棒控制设计方法.首先,对于具有非匹配不确定性的系统,基于线性矩阵不等式技术给出鲁棒滑动模面的设计方法.其次,对于匹配不确定性和非匹配不确定性两种情况分别给出鲁棒滑模控制器的设计方法.最后,将该算法应用于TCP网络的拥塞控制中,通过与其他方法的比较,验证了该方法在实际应用中的有效性与优越性.

A design approach to robust stabilization based on sliding mode control （SMC） is presented for a class of uncertain time-varying linear systems. For the systems with mismatched uncertainty, the design of robust sliding surface is given. On the basis of LMI technique, then the designing approaches to sliding mode control law are given separately for the systems with matched and mismatched uncertainties. How the proposed algorithm is applied to TCP congestion control is discussed, and compared to other ones via simulation and the results showed its validity and advantages.