Comments on "Adaptive multiple-surface sliding control for non-autonomous systems with mismatched uncertainties"
Khoo, Suiyang, Man, Zhihong and Zhao, Shengkui 2008, Comments on "Adaptive multiple-surface sliding control for non-autonomous systems with mismatched uncertainties", Automatica, vol. 44, no. 11, pp. 2995-2998, doi: 10.1016/j.automatica.2008.07.002.
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Comments on "Adaptive multiple-surface sliding control for non-autonomous systems with mismatched uncertainties"
This note points out that the time complexity of the main multiple-surface sliding control (MSSC) algorithm in Huang and Chen [Huang, A. C. & Chen, Y. C. (2004). Adaptive multiple-surface sliding control for non-autonomous systems with mismatched uncertainties. Automatica, 40(11), 1939-1945] is O(2^n). Here, we propose a simplified recursive design MSSC algorithm with time complexity O(n), and, using mathematical induction, we show that this algorithm agrees with this MSSC law.
090602 Control Systems, Robotics and Automation 010203 Calculus of Variations, Systems Theory and Control Theory 010204 Dynamical Systems in Applications
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