<p>The two description encoding (TDE)-based model-free adaptive sliding mode control (MFASMC) problem for a class of multiple-input and multiple-output (MIMO) nonlinear nonaffine systems with two-side random packet dropouts is addressed in this article. First, a partial form dynamic linearization (PFDL) data model is established to address the unknown nonlinearities and nonaffine structure of the coupled MIMO system, in which all the complex uncertainties are compressed into a parameter matrix. Then, to mitigate the effect of packet dropouts and improve reliability during data transmission, the TDE protocol is utilized to encode the original signal into two identically important descriptions, which are then delivered to the decoders over two mutually independent channels. Finally, the convergence of the proposed TDE-based MFASMC scheme is strictly proved by the contraction mapping principle. The main merit of this method is that it is designed only using input–output (I/O) information instead of the knowledge of physical model. The effectiveness and applicability of the proposed algorithm are demonstrated by detailed simulations.</p>

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Two description encoding-based model-free adaptive sliding mode control for multiple-input and multiple-output nonlinear systems

  • Lina Chang,
  • Zhongsheng Hou

摘要

The two description encoding (TDE)-based model-free adaptive sliding mode control (MFASMC) problem for a class of multiple-input and multiple-output (MIMO) nonlinear nonaffine systems with two-side random packet dropouts is addressed in this article. First, a partial form dynamic linearization (PFDL) data model is established to address the unknown nonlinearities and nonaffine structure of the coupled MIMO system, in which all the complex uncertainties are compressed into a parameter matrix. Then, to mitigate the effect of packet dropouts and improve reliability during data transmission, the TDE protocol is utilized to encode the original signal into two identically important descriptions, which are then delivered to the decoders over two mutually independent channels. Finally, the convergence of the proposed TDE-based MFASMC scheme is strictly proved by the contraction mapping principle. The main merit of this method is that it is designed only using input–output (I/O) information instead of the knowledge of physical model. The effectiveness and applicability of the proposed algorithm are demonstrated by detailed simulations.