OPTIMAL ENERGY-EFFICIENT CONTROL OF DISTRIBUTED PARAMETER SYSTEMS
E. Ya. Rapoport, Yu. E. Pleshivtseva
Samara State Technical University, Samara, Russia
Keywords: systems with distributed parameters, energy-efficiency, programmed control, alternance method, synthesis of the optimal control, optimal controller
Abstract
A constructive method for synthesizing the optimal energy-efficient control for distributed parameter systems with a given-precision uniform approximation of the space distribution of the controlled variable with respect to the desired state is proposed. This approach is based on the earlier developed alternance method for constructing optimal open-loop control algorithms. It is shown that the optimal controller equations are reduced to linear output feedback equations with time-dependent coefficients that are calculated based on incomplete measurements of the state of the system. The transmission factors here are known functions of time and final values of the controlled parameter determined by preliminary calculations of the programmed control.
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