Uniform Optimization of Systems with Distributed Parameters in Linear-Quadratic Control Problems with Amplitude Contraints of Controlling Actions

The paper proposes a constructive method for solving linear-quadratic problems of space-time control with amplitude constraints of controlling actions in systems with distributed parameters of parabolic type at a given accuracy of uniform approximation of the object final state to the required spatial distribution of the controlled quantity. The developed approach is based on the previously developed alternance method of constructing parameterizable algorithms of program control. It is demonstrated that the equations of optimal regulators are reduced to linear feedback algorithms on the measured state of the object with predetermined nonstationary transfer coefficients.