ENERGY-SAVING CONTROL IN SYSTEMS WITH DISTRIBUTED PARAMETERS UNDER UNIFORM ESTIMATES OF TARGET SETS
E.Ya. Rapoport, Yu.E. Pleshivtseva, I.S. Levin
Samara State Technical University, Samara, Russia
Keywords: systems with distributed parameters, minimization of energy consumption, programmed control, alternance method, synthesis of optimal control
Abstract
A method is proposed for synthesis of energy-efficient controllers in both open and closed domains of definition of spatiotemporal control actions for linear multidimensional objects of the parabolic type with distributed parameters under the conditions of a specified accuracy of uniform approximation of the system's final state to the required spatial distribution of the controlled variable. The suggested approach is based on the previously developed alternance method of constructing parameterized algorithms for optimal programmed control, which utilizes fundamental regularities of the subject area. It is shown that the sought controller equations are reduced to linear laws with constraints for feedbacks based on incomplete observation of the state of an object with non-stationary transfer coefficients, which are determined by a preliminary calculation of the programmed control action.
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