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Volume 42 Issue 4
Apr.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(4): 718-727.
ZUO Bin, ZHANG Lei, LI Jinget al. Output-feedback sliding mode control for MIMO affine extremum seeking systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 718-727. doi: 10.13700/j.bh.1001-5965.2015.0297(in Chinese)
Citation: ZUO Bin, ZHANG Lei, LI Jinget al. Output-feedback sliding mode control for MIMO affine extremum seeking systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 718-727. doi: 10.13700/j.bh.1001-5965.2015.0297(in Chinese)
shu

Output-feedback sliding mode control for MIMO affine extremum seeking systems

doi: 10.13700/j.bh.1001-5965.2015.0297
  • 1.

    School of Instrumentation Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • 2. Graduate Students' Brigade, Naval Aeronautical and Astronautical University, Yantai 264001, China

  • 3. Department of Strategic Missile Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China

Funds:  National Natural Science Foundation of China (60674090);China Postdoctoral Science Foundation (2013M542480)
  • Received Date: 11 May 2015
  • Rev Recd Date: 05 Jun 2015
  • Publish Date: 20 Apr 2016
    Abstract
  • An output-feedback sliding mode control method is proposed for a class of multi-input multi-output (MIMO) affine nonlinear extremum seeking systems. Firstly, the original MIMO affine nonlinear extremum seeking system is decomposed into several single-input single-output (SISO) extremum seeking subsystems. Considering the subsystem's states are unmeasurable, the control method uses a simple ramp time function as the reference signal of the subsystem's output, constructs the sliding mode manifold by the output tracking error and the integral of the sign function of the tracking error, and designs the output-feedback extremum seeking control law with sliding mode. The stability analysis shows that the MIMO nonlinear seeking extremum system with the proposed control method is possible to achieve an arbitrarily small neighborhood of the desired optimal point under all initial conditions, and all the states in the closed-loop system remain uniformly bounded. Simulation results are presented to illustrate the effectiveness of the control method.

     

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