Interconnection and damping assignment control based on modified actor–critic algorithm with wavelet function approximation

Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor–critic (AC) algorithm has been used to regulate PBC paramet...

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Vydané v:	ISA transactions Ročník 101; s. 116 - 129
Hlavní autori:	Gheibi, Amir, Ghiasi, Amir Rikhtehgar, Ghaemi, Sehraneh, Badamchizadeh, Mohammad Ali
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	United States Elsevier Ltd 01.06.2020
Predmet:	Actor–critic Boost converter Observer Passivity-based control (PBC) Wavelet approximator Passivity-based control (PBC) AR-EB-AC OWFA LFA Observer EB-AC PRRL Actor–critic PBC-AC-OWFA Boost converter Wavelet approximator CPL
ISSN:	0019-0578, 1879-2022, 1879-2022
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Abstract	Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor–critic (AC) algorithm has been used to regulate PBC parameters instantaneously and solve PDEs online. Despite the benefits of this algorithm, it cannot handle disturbance. The main purpose of this paper is to modify the AC algorithm with an online wavelet function approximation to improve its performance. The proposed method uses PBC and the modified AC algorithm to attenuate the effects of uncertainties. Moreover, the stability analysis is investigated for a nonlinear system. The results show that the new method can handle disturbance and uncertainties more proper than other methods. •A realistic model of the boost converter with time-varying load and disturbance is considered.•A new nonlinear control strategy is used for designing the controller.•The new method utilizes passivity based control (PBC) and the modified actor–critic (AC) algorithm.•Online wavelet function approximation (OWFA) is applied as an approximator.
AbstractList	Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor-critic (AC) algorithm has been used to regulate PBC parameters instantaneously and solve PDEs online. Despite the benefits of this algorithm, it cannot handle disturbance. The main purpose of this paper is to modify the AC algorithm with an online wavelet function approximation to improve its performance. The proposed method uses PBC and the modified AC algorithm to attenuate the effects of uncertainties. Moreover, the stability analysis is investigated for a nonlinear system. The results show that the new method can handle disturbance and uncertainties more proper than other methods. Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor–critic (AC) algorithm has been used to regulate PBC parameters instantaneously and solve PDEs online. Despite the benefits of this algorithm, it cannot handle disturbance. The main purpose of this paper is to modify the AC algorithm with an online wavelet function approximation to improve its performance. The proposed method uses PBC and the modified AC algorithm to attenuate the effects of uncertainties. Moreover, the stability analysis is investigated for a nonlinear system. The results show that the new method can handle disturbance and uncertainties more proper than other methods. •A realistic model of the boost converter with time-varying load and disturbance is considered.•A new nonlinear control strategy is used for designing the controller.•The new method utilizes passivity based control (PBC) and the modified actor–critic (AC) algorithm.•Online wavelet function approximation (OWFA) is applied as an approximator. Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor-critic (AC) algorithm has been used to regulate PBC parameters instantaneously and solve PDEs online. Despite the benefits of this algorithm, it cannot handle disturbance. The main purpose of this paper is to modify the AC algorithm with an online wavelet function approximation to improve its performance. The proposed method uses PBC and the modified AC algorithm to attenuate the effects of uncertainties. Moreover, the stability analysis is investigated for a nonlinear system. The results show that the new method can handle disturbance and uncertainties more proper than other methods.Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations (PDEs) should be solved in order to obtain the parameters of the controller. Actor-critic (AC) algorithm has been used to regulate PBC parameters instantaneously and solve PDEs online. Despite the benefits of this algorithm, it cannot handle disturbance. The main purpose of this paper is to modify the AC algorithm with an online wavelet function approximation to improve its performance. The proposed method uses PBC and the modified AC algorithm to attenuate the effects of uncertainties. Moreover, the stability analysis is investigated for a nonlinear system. The results show that the new method can handle disturbance and uncertainties more proper than other methods.
Author	Ghaemi, Sehraneh Ghiasi, Amir Rikhtehgar Gheibi, Amir Badamchizadeh, Mohammad Ali
Author_xml	– sequence: 1 givenname: Amir surname: Gheibi fullname: Gheibi, Amir email: gheibi@tabrizu.ac.ir – sequence: 2 givenname: Amir Rikhtehgar surname: Ghiasi fullname: Ghiasi, Amir Rikhtehgar email: agiasi@tabrizu.ac.ir – sequence: 3 givenname: Sehraneh surname: Ghaemi fullname: Ghaemi, Sehraneh email: ghaemi@tabrizu.ac.ir – sequence: 4 givenname: Mohammad Ali surname: Badamchizadeh fullname: Badamchizadeh, Mohammad Ali email: mbadamchi@tabrizu.ac.ir
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Keywords	Passivity-based control (PBC) AR-EB-AC OWFA LFA Observer EB-AC PRRL Actor–critic PBC-AC-OWFA Boost converter Wavelet approximator CPL
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Snippet	Passivity-based control (PBC) is model-based, and as a result, it is affected by uncertainties. Besides, for some PBC designs, partial differential equations...
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SubjectTerms	Actor–critic Boost converter Observer Passivity-based control (PBC) Wavelet approximator
Title	Interconnection and damping assignment control based on modified actor–critic algorithm with wavelet function approximation
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