Memoryless Static Output Feedback Sliding Mode Control for Nonlinear Systems With Delayed Disturbances

作者：Yan Xing Gang^*; Spurgeon Sarah K; Edwards Christopher

来源：IEEE Transactions on Automatic Control, 2014, 59(7): 1906-1912.

DOI：10.1109/TAC.2013.2295662

• Nonlinear systems
• sliding mode control
• stabilization
• static output feedback
• time delay

In this technical note, a local stabilization problem for nonlinear systems with disturbances which are dependent on time-varying delay phenomena, is studied. An appropriate transformation is introduced to express the system in regular form which facilitates both design and analysis. Then, sufficient conditions are developed based on a Lyapunov-Razumikhin approach such that the sliding motion is uniformly asymptotically or exponentially stable. A static output feedback control law, independent of the time delay, is synthesized to guarantee reachability of the sliding mode. The accessible bounds on the disturbances are fully used in the control design to reduce the conservatism. A simulation example shows the effectiveness of the approach.

• 出版日期2014-7