A Modelling and Control Approach for a Type of Mixed Logical Dynamical System Using in Chilled Water System of Refrigeration System

Yan, Zhang; Chu, Xiaoli; Liu, Yang; Liu, Yongqiang

doi:10.1155/2019/7131380

Cited by 4 publications

(3 citation statements)

References 34 publications

(52 reference statements)

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“…The advanced MLD system [24] is showed as an inequality and contains n+1 subsystems, which composed of state variables, control variables, logical variables, auxiliary variables, novel defined switching points, constraint conditions, and switching law. The inequality is like Eq.…”

Section: The Advanced Mld Systemmentioning

confidence: 99%

A Type of Mixed Logical System Model Using in Laboratory Optimal Energy-Saving Management

Zhang

Chen

et al. 2021

IEEE Access

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MLD system is a type of hybrid system, which adopts the form of integer linear inequality including continuous variable and logical variable, which reflects both continuous and discrete dynamic characteristics by switching law. In this paper, the problem of optimal management of open laboratories in Colleges and universities is illustrated in the form of a class of advanced MLD system. By analyzing the main factors of laboratory consumption, the laboratory cost function is established. Taking the minimum cost as the objective function, it uses the random number of students in the laboratory to realize the energysaving optimization management of the laboratory. At the end of this paper, a simulation example is used to analyze the process of MLD system used in laboratory optimization management, which shows hybrid dynamic characteristics, optimal management effect and ideal applicability.

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Section: The Advanced Mld Systemmentioning

confidence: 99%

A Type of Mixed Logical System Model Using in Laboratory Optimal Energy-Saving Management

Zhang

Chen

et al. 2021

IEEE Access

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“…Another class of approaches is based on the transformation of propositional logic expressions into linear inequalities of binary variables. The author in [11] has introduced MLD formalism, one of the most widely used models for the analysis and control synthesis designed for hybrid systems [12][13][14]. MLD formalism has the benefit of gathering all continuous dynamics, logic rules, and system constraints under a single representation to synthesize the conventional hybrid control methods.…”

Section: Introductionmentioning

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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“…The introducing of a quantitative index of battery degradation makes it much worse that the objective function is non-gradient, which fails the regular gradient descent algorithms [36] and the non-gradient optimisation is normally used to solve this kind of problem. Different methods of nonegradient optimisation can be found with different characteristics in the knowledge field in different kind of applications [37][38][39][40][41]. Liu et al provide an good example by developing a multi-objective optimization strategy to optimize to maximize the fundamental frequency as well as minimize the dynamic displacement simultaneously [42].…”

Section: Introductionmentioning

confidence: 99%

An improved vehicle to the grid method with battery longevity management in a microgrid application

Yang

Cao

et al. 2020

Energy

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A Modelling and Control Approach for a Type of Mixed Logical Dynamical System Using in Chilled Water System of Refrigeration System

Cited by 4 publications

References 34 publications

A Type of Mixed Logical System Model Using in Laboratory Optimal Energy-Saving Management

A Type of Mixed Logical System Model Using in Laboratory Optimal Energy-Saving Management

MLD-MPC Approach for Three-Tank Hybrid Benchmark Problem

An improved vehicle to the grid method with battery longevity management in a microgrid application

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