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Ozorio Cassol G, Dubljevic S. Model Predictive Control of a Second‐order Hyperbolic transport‐reaction process. AIChE J 2022. [DOI: 10.1002/aic.17812] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Guilherme Ozorio Cassol
- Department of Chemical and Materials Engineering University of Alberta Edmonton Alberta Canada
| | - Stevan Dubljevic
- Department of Chemical and Materials Engineering University of Alberta Edmonton Alberta Canada
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Jamili E, Dua V. Parameter estimation of partial differential equations using artificial neural network. Comput Chem Eng 2021. [DOI: 10.1016/j.compchemeng.2020.107221] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Zhang L, Xie J, Koch CR, Dubljevic S. Model Predictive Control of Jacket Tubular Reactors with a Reversible Exothermic Reaction. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.0c02500] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Lu Zhang
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton T6G 2V4, Canada
| | - Junyao Xie
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton T6G 2V4, Canada
| | - Charles Robert Koch
- Department of Mechanical Engineering, University of Alberta, Edmonton T6G 2R3, Canada
| | - Stevan Dubljevic
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton T6G 2V4, Canada
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Model Predictive Control for First-Order Hyperbolic System Based on Quasi-Shannon Wavelet Basis. Processes (Basel) 2020. [DOI: 10.3390/pr8091114] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In this paper, we consider a class of first-order hyperbolic distributed parameter systems. Our focus is on the design of a new class of model predictive control schemes using a quasi-Shannon wavelet basis. First, the first-order hyperbolic distributed parameter system is transformed into an equivalent system using collocation techniques for the approximation of spatial derivatives and Euler forward difference method for the approximation of the time component. Then, a model reduction method is applied to obtain a reduced-order system on which a nonlinear model predictive controller is designed through solving a nonlinear quadratic programming problem with input constraints. For illustration, the temperature control of a flow-control long-duct heating system is considered to be an example. A comparative simulation study is conducted to demonstrate the effectiveness of the proposed method.
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Abstract
This manuscript addresses the regulator design in the discrete-time setting for the unstable linearized Saint–Venant–Exner model, which describes the dynamics of a sediment-filled water canal. The proposed regulator ensures the closed-loop stability and proper tracking of polynomial and periodic reference signals using output feedback in a sample-data setting. To design this regulator, the system discrete representation is achieved by the application of the structure-preserving Cayley-Tustin time discretization and the direct relation with the regulator in the continuous-time setting is shown. The regulator design in the continuous-time setting is developed using the backstepping methodology ensuring the closed-loop stability and the observer design, while the Sylvester equations are solved to achieve proper tracking. Finally, the numerical simulation results are presented to show the performance of the regulator.
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Ozorio Cassol G, Dubljevic S. Dynamical Analysis and Model Predictive Control of an Auto-Thermal Reactor. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b00785] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Guilherme Ozorio Cassol
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta T6G 2 V4, Canada
| | - Stevan Dubljevic
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta T6G 2 V4, Canada
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Abstract
As the optimal linear filter and estimator, the Kalman filter has been extensively utilized for state estimation and prediction in the realm of lumped parameter systems. However, the dynamics of complex industrial systems often vary in both spatial and temporal domains, which take the forms of partial differential equations (PDEs) and/or delay equations. State estimation for these systems is quite challenging due to the mathematical complexity. This work addresses discrete-time Kalman filter design and realization for linear distributed parameter systems. In particular, the structural- and energy-preserving Crank–Nicolson framework is applied for model time discretization without spatial approximation or model order reduction. In order to ensure the time instance consistency in Kalman filter design, a new discrete model configuration is derived. To verify the feasibility of the proposed design, two widely-used PDEs models are considered, i.e., a pipeline hydraulic model and a 1D boundary damped wave equation.
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Xie J, Xu X, Dubljevic S. Long range pipeline leak detection and localization using discrete observer and support vector machine. AIChE J 2019. [DOI: 10.1002/aic.16532] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Junyao Xie
- Department of Chemical & Materials Engineering; University of Alberta; Edmonton AB T6G 2V4 Canada
| | - Xiaodong Xu
- Department of Chemical & Materials Engineering; University of Alberta; Edmonton AB T6G 2V4 Canada
| | - Stevan Dubljevic
- Department of Chemical & Materials Engineering; University of Alberta; Edmonton AB T6G 2V4 Canada
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Xu Q, Dubljevic S. Model predictive control of solar thermal system with borehole seasonal storage. Comput Chem Eng 2017. [DOI: 10.1016/j.compchemeng.2017.02.023] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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