2021
DOI: 10.3390/e23070888
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PD-Based Optimal ADRC with Improved Linear Extended State Observer

Abstract: Taking dead-zone nonlinearlity and external disturbances into account, an active disturbance rejection optimal controller based on a proportional-derivative (PD) control law is proposed by connecting the proportional-integral-derivative (PID) control, the active disturbance rejection control (ADRC) and particle swarm optimization (PSO), with the purpose of providing an efficient and practical technology, and improving the dynamic and steady-state control performances. Firstly, in order to eliminate the negativ… Show more

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Cited by 11 publications
(10 citation statements)
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“…The optimization algorithm based on PSO [32][33][34][35][36][37][38][39][40] results in optimal design parameters for SMC and finding the optimal values of (𝑐 = 0.1), (𝐾 = 40) for ( 15) and (𝐾 1 = 6.93), (𝐾 2 = 600.59) for (17). The values of (𝐾 𝑝 ), (𝐾 𝑑 ), ( 𝛽 1 ), ( 𝛽 2 ) and (𝛽 3 ) are calculated according to (7) and (14) when choosing (𝑀 𝑐 = 24.5 π‘Ÿπ‘Žπ‘‘/𝑠𝑒𝑐) and (𝑀 π‘œ = 4𝑀 𝑐 ).…”
Section: Numerical Simulation and Discussionmentioning
confidence: 99%
“…The optimization algorithm based on PSO [32][33][34][35][36][37][38][39][40] results in optimal design parameters for SMC and finding the optimal values of (𝑐 = 0.1), (𝐾 = 40) for ( 15) and (𝐾 1 = 6.93), (𝐾 2 = 600.59) for (17). The values of (𝐾 𝑝 ), (𝐾 𝑑 ), ( 𝛽 1 ), ( 𝛽 2 ) and (𝛽 3 ) are calculated according to (7) and (14) when choosing (𝑀 𝑐 = 24.5 π‘Ÿπ‘Žπ‘‘/𝑠𝑒𝑐) and (𝑀 π‘œ = 4𝑀 𝑐 ).…”
Section: Numerical Simulation and Discussionmentioning
confidence: 99%
“…(3) PD control with an improved linear extended state observer (PD-ILESO) [ 10 ] where , , is estimated by an improved linear ESO.…”
Section: Simulation Studiesmentioning
confidence: 99%
“…In order to deal with the aforementioned negative factors and improve tracking performance, a large number of nonlinear control methods, such as backstepping control [ 3 , 4 ], sliding-mode control [ 5 , 6 , 7 , 8 ], and active disturbance rejection control [ 9 , 10 ], have been developed. Thanks to the simplicity and strong robustness of sliding-mode control, it has been widely used to cope with the uncertainty of the system [ 11 , 12 ].…”
Section: Introductionmentioning
confidence: 99%
“…Xu et al proposed a linear extended state observer with improvements by the adaptive design of the parameters for the controller using a particle swarm optimization algorithm. 2 Mosayyebi et al introduced the idea of fuzzy control and proposed a doubly-fed induction generator system with fuzzy fractional-order adaptive immunity control. 3 This method adapted well to changes in system parameters, and its stability and dynamic performance were greatly improved.…”
Section: Introductionmentioning
confidence: 99%