Energy Optimization of the Continuous-Time Perfect Control Algorithm

Marek Krok, Paweł Majewski, Wojciech P. Hunek and Tomasz Feliks
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Marek Krok: Department of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, Poland
Paweł Majewski: Department of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, Poland
Wojciech P. Hunek: Department of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, Poland
Tomasz Feliks: Department of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, Poland

Energies, 2022, vol. 15, issue 4, 1-13

Abstract: In this paper, an attempt at the energy optimization of perfect control systems is performed. The perfect control law is the maximum-speed and maximum-accuracy procedure, which allows us to obtain a reference value on the plant’s output just after a time delay. Based on the continuous-time state-space description, the minimum-error strategy is discussed in the context of possible solutions aiming for the minimization of the control energy. The approach presented within this study is focused on the nonunique matrix inverse-originated so-called degrees of freedom being the core of perfect control scenarios. Thus, in order to obtain the desired energy-saving parameters, a genetic algorithm has been employed during the inverse model control synthesis process. Now, the innovative continuous-time procedure can be applied to a wide range of multivariable plants without any stress caused by technological limitations. Simulation examples made in the MATLAB/Simulink environment have proven the usefulness of the new method shown within the paper. In the extreme case, the energy consumption has been reduced by approximately 80% in comparison with the well-known Moore–Penrose inverse.

Keywords: energy minimization; perfect control; generalized inverses; LTI MIMO state-space; artificial intelligence (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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