Allowance For Constraints Research Articles

Mathematical forulation of the problem of controlling complex dynamic objects for the production of nonwovens

The main stages in the process of formalizing and mathematically describing the dynamic regimes of energy-intensive electromechanical systems are determined. Optimality criteria are proposed to reflect specific features of certain machines used in the production of chemical fibers and filaments. A classification is presented for optimization problems and methods of solving them. The maximum principle is used as a basis for solving static and dynamic problems involving optimization of the speed regimes of energy-intensive equipment used to make nonwovens. The problems are solved with allowance for constraints on the parameters of the given system.

Estimation of continuously differentiable signal with allowance for constraints

Consideration was given to the estimation of a piecewise-polynomially representable signal subject to continuity and smoothness and with allowance for the constraints on the value of signal and its derivative. Such representation may be used also for perturbation generating the estimated signal. The measurement noise was assumed to have stochastic description. Given was an analytical definition of the domain of values of the coefficients of the piecewise-polynomial representation of the signal under which it satisfies the stipulated requirements. A two-step computation-efficient solution of the problem was proposed, and an example of its efficient use was given.