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Least Squares Support Vector Machine-Based Multivariate Generalized Predictive Control for Parabolic Distributed Parameter Systems with Control Constraints. Symmetry (Basel) 2021. [DOI: 10.3390/sym13030453] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
This manuscript addresses a new multivariate generalized predictive control strategy using the least squares support vector machine for parabolic distributed parameter systems. First, a set of proper orthogonal decomposition-based spatial basis functions constructed from a carefully selected set of data is used in a Galerkin projection for the building of an approximate low-dimensional lumped parameter systems. Then, the temporal autoregressive exogenous model obtained by the least squares support vector machine is applied in the design of a multivariate generalized predictive control strategy. Finally, the effectiveness of the proposed multivariate generalized predictive control strategy is verified through a numerical simulation study on a typical diffusion-reaction process in radical symmetry.
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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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