Design of Direct Adaptive Fuzzy Sliding Mode Control for Discrete Nonlinear System

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 213)


A new direct adaptive fuzzy sliding mode control (FSMC) design for discrete nonlinear systems is presented to trajectory tracking problem. Firstly, problem formula and dynamic fuzzy logical system (DFLS) are proposed, and then, sliding mode control (SMC) design is constructed based on DFLS in which parameters are self-tuning online. Consequently, the sliding mode is validated using Lyapunov analysis theories that it can be reached by the adaptive law. Thus, the overall system is asymptotically stable and with robustness, chattering free, and adaptive. Finally, the performance of the control design was verified by simulations of an inverted pendulum.


Discrete nonlinear system Direct adaptive Sliding mode control 



This work is supported by the Fundamental Research Funds for the Central Universities (No.3142013055), the Science and Technology plan projects of Hebei Provincial Education Department (Z2012089) and Natural Science Foundation of Hebei Province (F2013508110).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Electronics and Information EngineeringNorth China Institute of Science and TechnologyBeijingChina

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