首页|Finite-time PID control for nonlinear nonaffine systems
Finite-time PID control for nonlinear nonaffine systems
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This article proposes a finite-time proportional-integral-derivative(FT-PID)control method to fast stabilize the control system to achieve the desired performance within the predesignated time instants.For a considered nonaffined nonlinear system,we develop a new dynamic linearization approach to re-formulate the system model as a linear data model(LDM)whose arguments are consistent with that used in the PID control law.Then,a projection algorithm is presented to estimate the unknown pseudo gradient vector of the LDM.Subsequently,an adaptive tuning algorithm is designed to update the three PID param-eters by solving linear matrix inequalities in terms of the predesignated error precision and the finite-time instant.The finite-time convergence of the proposed FT-PID control system is shown mathematically,which guarantees a pre-specified error precision to be achieved within the predesignated finite-time instants.As a result,not only can the proposed FT-PID control save the control cost but it also improves the production efficiency.The simulation study verifies the results.
PID controlfinite-time controlnonlinear nonaffine systemslinear data modelfinite-time convergence
Zhiqing LIU、Ronghu CHI、Biao HUANG、Zhongsheng HOU
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College of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China
College of Automation and Electronic Engineering,Qingdao University of Science and Technology,Qingdao 266061,China
Department of Chemical and Materials Engineering,University of Alberta,Edmonton AB T6G 2G6,Canada
School of Automation,Qingdao University,Qingdao 266071,China
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