Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(1): 205-216

https://doi.org/10.1007/s12555-021-1114-9

© The International Journal of Control, Automation, and Systems

An Error Quasi Quadratic Differential Based Event-triggered MPC for Continuous Perturbed Nonlinear Systems

Ning He , Qingqing Chen, Zhongxian Xu*, Botao Bai, and Chao Shen

Xi’an University of Architecture and Technology

Abstract

A new event-triggered model predictive control (ET-MPC) algorithm is proposed for continuous perturbed nonlinear systems with constraints for the purpose of reducing computing burden and communication transmission. In the first step, an original event triggering condition is constructed based on the slope variation of the state error between the optimal prediction and the real state, i.e., the quasi quadratic differential (QQD) type eventtriggered mechanism. Secondly, the dual-mode control has been adopted to deal with the constrained nonlinear systems subject to disturbances, based on which the execution process of the proposed QQD based ET-MPC is described. In addition, the feasibility of the algorithm and closed-loop stability of the system have been strictly proved in theory. Lastly, two simulation examples are utilized to verify the effectiveness and applicability of the proposed algorithm.

Keywords Event-triggered mechanism, model predictive control, perturbed nonlinear systems, quasi quadratic differential type approach.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(1): 205-216

Published online January 1, 2024 https://doi.org/10.1007/s12555-021-1114-9

Copyright © The International Journal of Control, Automation, and Systems.

An Error Quasi Quadratic Differential Based Event-triggered MPC for Continuous Perturbed Nonlinear Systems

Ning He , Qingqing Chen, Zhongxian Xu*, Botao Bai, and Chao Shen

Xi’an University of Architecture and Technology

Abstract

A new event-triggered model predictive control (ET-MPC) algorithm is proposed for continuous perturbed nonlinear systems with constraints for the purpose of reducing computing burden and communication transmission. In the first step, an original event triggering condition is constructed based on the slope variation of the state error between the optimal prediction and the real state, i.e., the quasi quadratic differential (QQD) type eventtriggered mechanism. Secondly, the dual-mode control has been adopted to deal with the constrained nonlinear systems subject to disturbances, based on which the execution process of the proposed QQD based ET-MPC is described. In addition, the feasibility of the algorithm and closed-loop stability of the system have been strictly proved in theory. Lastly, two simulation examples are utilized to verify the effectiveness and applicability of the proposed algorithm.

Keywords: Event-triggered mechanism, model predictive control, perturbed nonlinear systems, quasi quadratic differential type approach.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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