Robust output feedback model predictive control of time‐delayed systems using interval observers

Souza, Alex Reis de; Efimov, Denis; Raïssi, Tarek

doi:10.1002/rnc.5874

Cited by 6 publications

(3 citation statements)

References 20 publications

(54 reference statements)

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“…16,17 Several papers dealt with SMC for systems presenting time delay in the state vector. [18][19][20][21] For systems with measurement delay, there are considerably fewer references. In the case of output delay, Shtessel et al 22 used a Padé approximation to transform the control problem to that of controlling systems with nonminimum phase.…”

Section: Introductionmentioning

confidence: 99%

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Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Pinto,

Oliveira,

Rodrigues

et al. 2023

Intl J Robust & Nonlinear

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In this article, we address the disturbance rejection problem for linear plants with delayed measured output. The output delay is allowed to be time‐varying and of arbitrary duration. The disturbances that may represent actuator faults are generated by an exogenous dynamic system and can be matched or unmatched. A predictor–based observer is designed via the PDE–backstepping (Partial Differential Equation–backstepping) method so that an estimate of the current state vector, as well as that of unmeasured disturbance, can be obtained. These estimates are used in to regulate the output and reject the disturbance by output feedback sliding mode control. In addition, a solution for finite‐time disturbance rejection (rather than exponential only) is also introduced when the sensor delay is constant. Numerical examples illustrate the performance and robustness of the both proposed predictor‐feedback control systems.

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Section: Introductionmentioning

confidence: 99%

“…Several papers dealt with SMC for systems presenting time delay in the state vector 18–21 . For systems with measurement delay, there are considerably fewer references.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Pinto,

Oliveira,

Rodrigues

et al. 2023

Intl J Robust & Nonlinear

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show abstract

“…Parameters of the PIDNN controller can be adjusted online to adapt different situations. In the framework of predictive control (De Souza et al, 2022; Lan and Zhao, 2021; Pazhooh et al, 2018; Wang et al, 2022), combination of the NN predictive model and the PIDNN controller makes a feasible solution to the tracking control of MIMO nonlinear systems with time-delay. A nonlinear PID controller was designed based on recurrent NN for tuning the parameters of conventional PID controller (Zhang et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Recursive d-step-ahead predictive control of MIMO nonlinear systems with input time-delay via multi-dimensional Taylor network extended from PID

Yan

Zhang

2023

Transactions of the Institute of Measurement and Control

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In this paper, a recursive d-step-ahead predictive control scheme based on multi-dimensional Taylor network (MTN) is proposed for the real-time tracking control of multiple-input multiple-output (MIMO) nonlinear systems with input time-delay. The MTN predictive model is designed using a recursive approach to compensate the influence of time-delay, and an extended Kalman filter (EKF) is applied as its learning algorithm. An MTN controller is developed based on a proportional–integral–derivative (PID) controller where the closed-loop errors between the reference input and the system output are set as the MTN controller’s inputs. Then, a back propagation (BP) algorithm, designed to update its weights according to errors caused by system uncertainty, is used as a learning algorithm for the MTN controller. Meanwhile, the convergence of the MTN predictive model and the stability of the closed-loop system are evaluated. Two numerical examples and a practical example – continuous stirred tank reactor (CSTR) process are presented to verify the superiority of the proposed scheme. The experimental results and the computational complexity analysis show that the proposed scheme is effective, promising its desirable robustness, anti-disturbance, tracking and real-time performance.

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High efficiency far-infrared barrel heating control with excess heat prediction based on generalized predictive control in injection molding

Pan,

Xie,

Zhang

et al. 2024

International Journal of Heat and Mass Transfer

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Robust output feedback model predictive control of time‐delayed systems using interval observers

Cited by 6 publications

References 20 publications

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Recursive d-step-ahead predictive control of MIMO nonlinear systems with input time-delay via multi-dimensional Taylor network extended from PID

High efficiency far-infrared barrel heating control with excess heat prediction based on generalized predictive control in injection molding

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