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Wang ZP, Li QQ, Qiao J, Wu HN, Huang T. Fuzzy Boundary Sampled-Data Control for Nonlinear Parabolic DPSs. IEEE TRANSACTIONS ON CYBERNETICS 2024; 54:3565-3576. [PMID: 37751339 DOI: 10.1109/tcyb.2023.3312135] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/28/2023]
Abstract
For a nonlinear parabolic distributed parameter system (DPS), a fuzzy boundary sampled-data (SD) control method is introduced in this article, where distributed SD measurement and boundary SD measurement are respected. Initially, this nonlinear parabolic DPS is represented precisely by a Takagi-Sugeno (T-S) fuzzy parabolic partial differential equation (PDE) model. Subsequently, under distributed SD measurement and boundary SD measurement, a fuzzy boundary SD control design is obtained via linear matrix inequalities (LMIs) on the basis of the T-S fuzzy parabolic PDE model to guarantee exponential stability for closed-loop parabolic DPS by using inequality techniques and a acrlong LF. Furthermore, respecting the property of membership functions, we present some LMI-based fuzzy boundary SD control design conditions. Finally, the effectiveness of the designed fuzzy boundary SD controller is demonstrated via two simulation examples.
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Lin S, Liu X. Synchronization for multiweighted and directly coupled reaction-diffusion neural networks with hybrid coupling via boundary control. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2022.05.126] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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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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Ozorio Cassol G, Dubljevic S. Hyperbolicity of reaction‐transport processes. AIChE J 2021. [DOI: 10.1002/aic.17135] [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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Wang JW. Dynamic Boundary Fuzzy Control Design of Semilinear Parabolic PDE Systems With Spatially Noncollocated Discrete Observation. IEEE TRANSACTIONS ON CYBERNETICS 2019; 49:3041-3051. [PMID: 29994283 DOI: 10.1109/tcyb.2018.2838094] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
The problem of dynamic boundary fuzzy control design is investigated in this paper for nonlinear parabolic partial differential equation (PDE) systems with spatially noncollocated discrete observation. Two cases of noncollocated discrete observation in space (i.e., pointwise observation in space and local piecewise uniform observation in space) are considered, respectively. The spatially noncollocated discrete observation makes the control design very difficult. Such design difficulty can be surmounted by an observer-based feedback control technique. It is assumed that the semilinear PDEs are accurately represented by a Takagi-Sugeno fuzzy PDE model. On the basis of the obtained fuzzy PDE model, a fuzzy Luenberger-type PDE state observer with above two cases of noncollocated discrete observation in space is first proposed for exponential estimation of the PDE system state. An observer-based dynamic fuzzy controller is then constructed such that the resulting closed-loop system is exponentially stable. Sufficient conditions on existence of such fuzzy controller are developed by Lyapunov technique with variations of vector-valued Poincaré-Wirtinger inequality, and presented in terms of linear matrix inequalities. Finally, extensive numerical simulation results of two examples are provided to support the proposed design method.
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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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Silva JISD, Secchi AR. MODEL PREDICTIVE CONTROL FOR PRODUCTION OF ULTRA-LOW SULFUR DIESEL IN A HYDROTREATING PROCESS. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2019. [DOI: 10.1590/0104-6632.20190361s20180074] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Affiliation(s)
- Qingqing Xu
- Dept. of Chemical and Materials Engineering; University of Alberta; Edmonton Alberta T6G 2V4 Canada
| | - Stevan Dubljevic
- Dept. of Chemical and Materials Engineering; University of Alberta; Edmonton Alberta T6G 2V4 Canada
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Wang M, Qi C, Yan H, Shi H. Hybrid neural network predictor for distributed parameter system based on nonlinear dimension reduction. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2015.08.005] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Wang M, Shi H. An adaptive neural network prediction for nonlinear parabolic distributed parameter system based on block-wise moving window technique. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2013.11.030] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Wang M, Yan X, Shi H. Spatiotemporal prediction for nonlinear parabolic distributed parameter system using an artificial neural network trained by group search optimization. Neurocomputing 2013. [DOI: 10.1016/j.neucom.2013.01.037] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Lao L, Ellis M, Christofides PD. Economic Model Predictive Control of Transport-Reaction Processes. Ind Eng Chem Res 2013. [DOI: 10.1021/ie401016a] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Liangfeng Lao
- Department of Chemical and Biomolecular
Engineering, University of California, Los
Angeles, California 90095, United States
| | - Matthew Ellis
- Department of Chemical and Biomolecular
Engineering, University of California, Los
Angeles, California 90095, United States
| | - Panagiotis D. Christofides
- Department of Chemical and Biomolecular
Engineering, University of California, Los
Angeles, California 90095, United States
- Department of Electrical Engineering, University of California, Los Angeles, California 90095,
United States
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Wang M, Zhang Y, Shi H. Local Model-Based Predictive Control for Spatially-Distributed Systems Based on Linear Programming. Ind Eng Chem Res 2012. [DOI: 10.1021/ie2027519] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mengling Wang
- Key Laboratory of Advanced Control
and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, 130,
Meilong Road, Shanghai 200237, China
| | - Yang Zhang
- Shanghai Municipal Transportation
Information Center, Shanghai Urban and Rural Construction and Transportation Committee, Shanghai 200032, China
| | - Hongbo Shi
- Key Laboratory of Advanced Control
and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, 130,
Meilong Road, Shanghai 200237, China
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Optimal boundary control of a diffusion–convection-reaction PDE model with time-dependent spatial domain: Czochralski crystal growth process. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2011.06.050] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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17
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Dubljevic S. Boundary model predictive control of Kuramoto–Sivashinsky equation with input and state constraints. Comput Chem Eng 2010. [DOI: 10.1016/j.compchemeng.2009.10.011] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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18
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Dubljevic S. Model predictive control of Kuramoto–Sivashinsky equation with state and input constraints. Chem Eng Sci 2010. [DOI: 10.1016/j.ces.2010.03.049] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Mahmood M, Mhaskar P. Safe-Parking Framework for Fault-Tolerant Control of Transport−Reaction Processes. Ind Eng Chem Res 2010. [DOI: 10.1021/ie901295x] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Maaz Mahmood
- Department of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4L7
| | - Prashant Mhaskar
- Department of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4L7
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Bombard I, Da Silva B, Dufour P, Laurent P. Experimental predictive control of the infrared cure of a powder coating: A non-linear distributed parameter model based approach. Chem Eng Sci 2010. [DOI: 10.1016/j.ces.2009.09.050] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Abstract
A beat-to-beat variation in the electric wave propagation morphology in myocardium is referred to as cardiac alternans and it has been linked to the onset of life threatening arrhythmias and sudden cardiac death. Experimental studies have demonstrated that alternans can be annihilated by the feedback modulation of the basic pacing interval in a small piece of cardiac tissue. In this work, we study the capability of feedback control to suppress alternans both spatially and temporally in an extracted rabbit heart and in a cable of cardiac cells. This work demonstrates real-time control of cardiac alternans in an extracted rabbit heart and provides an analysis of the control methodology applied in the case of a one-dimensional (1D) cable of cardiac cells. The real-time system control is realized through feedback by proportional perturbation of the basic pacing cycle length (PCL). The measurements of the electric wave propagation are obtained by optical mapping of fluorescent dye from the surface of the heart and are fed into a custom-designed software that provides the control action signal that perturbs the basic pacing cycle length. In addition, a novel pacing protocol that avoids conduction block is applied. A numerical analysis, complementary to the experimental study is also carried out, by the ionic model of a 1D cable of cardiac cells under a self-referencing feedback protocol, which is identical to the one applied in the experimental study. Further, the amplitude of alternans linear parabolic PDE that is associated with the 1D ionic cardiac cell cable model under full state feedback control is analyzed. We provide an analysis of the amplitude of alternans parabolic PDE which admits a standard evolutionary form in a well defined functional space. Standard modal decomposition techniques are used in the analysis and the controller synthesis is carried out through pole-placement. State and output feedback controller realizations are developed and the important issue of measurement noise in the controller implementation is addressed. The analysis of stabilization of the amplitude of alternans PDE is in agreement with the experimental results and numerical results produced by the ionic 1D cable of cardiac cells model. Finally, a discussion is provided in light of these results in order to use control to suppress alternans in the human myocardium.
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Affiliation(s)
- Stevan Dubljevic
- Cardiovascular Research Laboratories David Geffen School of Medicine University of California, Los Angeles, CA 90095
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Lou Y, Hu G, Christofides PD. Model predictive control of nonlinear stochastic partial differential equations with application to a sputtering process. AIChE J 2008. [DOI: 10.1002/aic.11511] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Aggelogiannaki E, Sarimveis H. Nonlinear model predictive control for distributed parameter systems using data driven artificial neural network models. Comput Chem Eng 2008. [DOI: 10.1016/j.compchemeng.2007.05.002] [Citation(s) in RCA: 82] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Huai-Ning Wu, Han-Xiong Li. A Galerkin/Neural-Network-Based Design of Guaranteed Cost Control for Nonlinear Distributed Parameter Systems. ACTA ACUST UNITED AC 2008; 19:795-807. [DOI: 10.1109/tnn.2007.912592] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Dubljevic S. Constraints-Driven Optimal Actuation Policies for Diffusion-Reaction Processes with Collocated Actuators and Sensors. Ind Eng Chem Res 2007. [DOI: 10.1021/ie070546v] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Stevan Dubljevic
- Department of Chemical and Biomolecular Engineering, and, Cardiovascular Research Laboratories, David Geffen School of Medicine, University of California, Los Angeles, California 90095-1760
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Li M, Christofides PD. An input/output approach to the optimal transition control of a class of distributed chemical reactors. Chem Eng Sci 2007. [DOI: 10.1016/j.ces.2007.02.046] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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28
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Wu W, Chen CW. Measurement-Based Optimization and Predictive Control for an Exothermic Tubular Reactor System. Ind Eng Chem Res 2007. [DOI: 10.1021/ie0611296] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Wei Wu
- Department of Chemical Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan, Republic of China
| | - Chao-Wei Chen
- Department of Chemical Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan, Republic of China
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