UNIFORM OPTIMIZATION OF SYSTEMS WITH DISTRIBUTED PARAMETERS IN LINEAR-QUADRATIC CONTROL PROBLEMS WITH AMPLITUDE CONTRAINTS OF CONTROLLING ACTIONS
E. Ya. Rapoport, Yu. E. Pleshivtseva
Samara State Technical University, Samara, Russia
Keywords: systems with distributed parameters, amplitude constraints of controlling actions, program control, alternance method, synthesis of optimal control
Abstract
A constructive method for solving linear-quadratic problems of spatial-temporal control with amplitude limitations of controlling actions in systems with distributed parameters of parabolic type at a given accuracy of uniform approximation of the final state of the object to a required spatial distribution of the controlled quantity is proposed. The proposed approach is based on the previously developed alternance method of constructing parameterisable 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 pre-determined non-stationary transfer coefficients.
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