A New Adaptive Factor-Based Output Compensation Strategy for Offset Free Control of MLD–MPC with Model–Plant Mismatch

Li, Bingyun; Song, Chunyue; Wu, Yizhe; Zhao, Jun

doi:10.1021/acs.iecr.0c04473

Cited by 6 publications

(3 citation statements)

References 31 publications

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“…4 [26]. Several works presented in the literature have adopted the MPC control for MLD systems such as [27][28][29]. In this case, the optimal control problem that must be solved is a Mixed Optimization Problem (MOP).…”

Section: Mpc Of Mld Systemsmentioning

confidence: 99%

MLD-MPC Approach for Three-Tank Hybrid Benchmark Problem

Yaakoubi¹,

Rezk²,

Al‐Dhaifallah³

et al. 2023

Computers, Materials &Amp; Continua

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The present paper aims at validating a Model Predictive Control (MPC), based on the Mixed Logical Dynamical (MLD) model, for Hybrid Dynamic Systems (HDSs) that explicitly involve continuous dynamics and discrete events. The proposed benchmark system is a three-tank process, which is a typical case study of HDSs. The MLD-MPC controller is applied to the level control of the considered tank system. The study is initially focused on the MLD approach that allows consideration of the interacting continuous dynamics with discrete events and includes the operating constraints. This feature of MLD modeling is very advantageous when an MPC controller synthesis for the HDSs is designed. Once the MLD model of the system is well-posed, then the MPC law synthesis can be developed based on the Mixed Integer Programming (MIP) optimization problem. For solving this MIP problem, a Branch and Bound (B&B) algorithm is proposed to determine the optimal control inputs. Then, a comparative study is carried out to illustrate the effectiveness of the proposed hybrid controller for the HDSs compared to the standard MPC approach. Performances results show that the MLD-MPC approach outperforms the standard MPC one that doesn't consider the hybrid aspect of the system. The paper also shows a behavioral test of the MLD-MPC controller against disturbances deemed as liquid leaks from the system. The results are very satisfactory and show that the tracking error is minimal less than 0.1% in nominal conditions and less than 0.6% in the presence of disturbances. Such results confirm the success of the MLD-MPC approach for the control of the HDSs.

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Section: Mpc Of Mld Systemsmentioning

confidence: 99%

MLD-MPC Approach for Three-Tank Hybrid Benchmark Problem

Yaakoubi¹,

Rezk²,

Al‐Dhaifallah³

et al. 2023

Computers, Materials &Amp; Continua

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“…In addition to linear and nonlinear systems, there are many systems with switching characteristics, that is, switched systems 13‐20 . Switched systems are composed of a series of subsystems and the switching boundary of each subsystem, which means that the switching boundary is an integral part of the switched systems.…”

Section: Introductionmentioning

confidence: 99%

“…In addition to linear and nonlinear systems, there are many systems with switching characteristics, that is, switched systems. [13][14][15][16][17][18][19][20] Switched systems are composed of a series of subsystems and the switching boundary of each subsystem, which means that the switching boundary is an integral part of the switched systems. At present, many studies have been taken in the stability, controller design, filter design and observer design of the switched systems.…”

Section: Introductionmentioning

confidence: 99%

Robust exponential stability analysis of switched systems under switching boundary mismatch

Song

Zhao

et al. 2023

Intl J Robust & Nonlinear

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Switching boundary is an integral part of the switched system, but the existing literature on switched systems does not focus on the system under switching boundary mismatch. In this article, the switching boundary mismatch is considered, and the control strategy based on observation algorithm is designed for the state dependent switched system. By implementing the proposed strategy, the system can realize robust exponential stability and track the desired trajectory. Since the switching boundary mismatch is unmeasurable, an observation algorithm is designed. Combining the observation algorithm and iterative learning control law, the new control strategy can be derived. According to the Lyapunov stability theory and mode dependent average dwell time method, the robust exponential stability conditions of the closed-loop system based on linear matrix inequalities are given. The mode dependent average dwell time of each subsystem can be solved simultaneously. Finally, simulations have been taken to verify the designed strategy can render the closed-loop system achieve robust exponential stability and can track the desired trajectory.

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