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An application of Newton-like algorithm for H_infinity proportional–integral–derivative controller synthesis of seesaw-cart system (CROSBI ID 302237)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Milić, Vladimir ; Arandia-Krešić, Srećko ; Lobrović, Mihael An application of Newton-like algorithm for H_infinity proportional–integral–derivative controller synthesis of seesaw-cart system // Transactions of the institute of measurement and control, 44 (2022), 9; 1777-1793. doi: 10.1177/01423312211063871

Podaci o odgovornosti

Milić, Vladimir ; Arandia-Krešić, Srećko ; Lobrović, Mihael

engleski

An application of Newton-like algorithm for H_infinity proportional–integral–derivative controller synthesis of seesaw-cart system

This paper is concerned with the synthesis of proportional–integral–derivative (PID) controller according to the H_infinity optimality criterion for seesaw-cart system. The equations of dynamics are obtained through modelling a seesaw-cart system actuated by direct-current motor via rack and pinion mechanism using the Euler–Lagrange approach. The obtained model is linearised and synthesis of the PID controller for linear model is performed. An algorithm based on the sub-gradient method, the Newton method, the self-adapting backpropagation algorithm and the Adams method is proposed to calculate the PID controller gains. The proposed control strategy is tested and compared with standard linear matrix inequality (LMI)-based method on computer simulations and experimentally on a laboratory model.

Seesaw-cart system ; proportional–integral–derivative controller ; H_infinity performance ; numerical optimisation ; Newton-like algorithm

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Podaci o izdanju

44 (9)

2022.

1777-1793

objavljeno

0142-3312

1477-0369

10.1177/01423312211063871

Povezanost rada

Strojarstvo

Poveznice
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