Sliding Mode Control to Stabilization of an ODE-Schrödinger Cascade Systems Subject to Boundary Control Matched Disturbance
- 87 Downloads
This paper is concerned with the boundary feedback stabilization of a coupled ODE-Schrödinger system cascades with the external disturbance flowing the control end. The author uses the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the “reaching condition” is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system. Some numerical simulations is presented to illustrate the effectiveness of the proposed control.
KeywordsBoundary control cascade systems disturbance rejection sliding mode control
Unable to display preview. Download preview PDF.
- Breger A M, Butkovskii A G, Kubyshkin V A, et al., Sliding modes for control of distributed parameter entities subjected to a mobile multicycle signal, Automation and Remote Control, 1980, 41: 346–355.Google Scholar
- Drakunov S, Barbieeri E, and Silver D A, Sliding mode control of a heat equation with application to arc welding, IEEE International Conference on Control Applications, Dearborn, USA, 1996, 668–672.Google Scholar
- Guo B Z and Liu J J, Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schrödinger equation subject to boundary control matched disturbance, International Journal of Robust and Nonlinear Control, 2014, 24: 2194–2212.MathSciNetCrossRefzbMATHGoogle Scholar