The purpose of this paper is to develop a methodology of automation of production processes for which performance is a factor of efficiency. Solves the problem of developing a method of synthesis of high-speed automated control implemented with technological limitations. Parallel to solve the problem of ensuring asymptotic stability of systems controlled by these laws, which provides the reliability of the implementation technological process. The problem is complicated, so problems are solved for the simplest objects of the first order. The essence of the approach consists in the organization of such effect on the behavior of the derivative of the output variable of the object, which provides fast-acting, but asymptotically stable transition process of its change. This property formed a special non-linear function, leading to rapid change in a variable away from equilibrium, and the asymptotic approximation to the equilibrium point. The structure of the function, forming a mathematical model of the control system of the first order. Function parametrically depends on two factors that gives it the desired properties. It introduced the option of limiting the derivative of the output variable, and the parameter the degree of quasioptimality her performance. The control action generated by the function that meets the properties close to optimal performance, the limitations of the derivative and asymptoticity attenuation of transient processes of the controlled system. Asymptotic stability is a basic requirement of robustness of a dynamical system. The obtained results are important for practical problems of automation of technological processes of most industries. For a number of objects the performance is the performance, stability and robustness - a crucial factor in the reliability of the automatic control system. Robustness necessary process control systems, technology management, especially chemical processes taking place in the critical catalytic modes, as well as technological lines for the production of films, paper tapes, etc., in which even temporary disruption of synchrony leads to significant and irreversible losses. Obtained results have theoretical significance, and practical application that makes the publication relevant.  

Keywords: Production, Technology, Process, Object, Pronunciation, Productivity, speed, limitation, stability, asymptoticity, quasioptimality, parametric tuning