## Model following control system with time delays.(English)Zbl 1389.93121

Summary: Design of Model Following Control System (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part $$f(v(t))$$ of the controlled object as $$\| f(v(t))\| \leq \alpha +\beta \| v(t)\| ^{\gamma}$$, and show the boundedness of internal states by separating the nonlinear part into $$\gamma \geq 0$$. Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.

### MSC:

 93C10 Nonlinear systems in control theory
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