Journal of Systems Science and Complexity

, Volume 31, Issue 5, pp 1146–1163 | Cite as

Sliding Mode Control to Stabilization of an ODE-Schrödinger Cascade Systems Subject to Boundary Control Matched Disturbance

  • Jun-Jun LiuEmail author


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.


Boundary control cascade systems disturbance rejection sliding mode control 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.The College of MathematicsTaiyuan University of TechnologyTaiyuanChina

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