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<article-title>Design of Control System Based on Functions of Catastrophe</article-title>
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<author>Gulnara Abitova<sup>1</sup>, Vladimir Nikulin<sup>1</sup>, Mamyrbek Beisenbi<sup>2</sup> and Aliya Ainagulova<sup>2</sup>  </author>

<aff><sup>1</sup>Binghamton University, USA. </aff><aff><sup>2</sup>Eurasian National University, Kazakhstan. </aff>

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<title>ABSTRACT</title>
<p> In this article a new approach for the choice of control laws for objects with uncertain parameters in the class of structurally-stable mapping of catastrophe theory is proposed, which allows construction of a control system with high capacity of robust stability. The proposed control circuit uses function with three parameters of a controller and two state variables. This paper presents conditions for equilibrium states, and it explains how to create a practical design of a controller in order to increase the potential of robust stability in a very wide range. Conclusions are confirmed by numerical simulations.  </p><p><italic>Keywords: </italic>Robust stability, Robust control, Catastrophe function, System of the automation control, Mathematical model. </p>
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