Overcoming Nondifferentiability in Optimization Synthesis of Automatic Control Systems
A. A. Voevoda, A. V. Chekhonadskikh
Keywords: automatic control system, reduced-order controller, minimization of nondifferentiable ravine function, graduation of the root set of polynomial, convex hull
Pages: 11-17
Abstract
We solve the problem of minimizing the ravine non-differentiable function defining the quality of the pole location in the synthesis of automatic control systems with reduced-order controllers. The relationship between the objective functions of the location of the polynomial roots and their derivatives is studied. The possibility of conversion from the non-differentiable characteristic of the location of the polynomial roots to a smooth characteristic of its derivative.
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