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Development of a nonlinear predictive control algorithm and its application to flotation
Bibliography: leaves 118-123.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Chemical Engineering
2014
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| _version_ | 1867613839622668288 |
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| access_status_str | Open Access |
| author | Knights, Benjamin D H |
| author2 | Swartz, Chris |
| author_browse | Knights, Benjamin D H Swartz, Chris |
| author_facet | Swartz, Chris Knights, Benjamin D H |
| author_sort | Knights, Benjamin D H |
| collection | Thesis |
| description | Bibliography: leaves 118-123. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/5305 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:42:31.813Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Chemical Engineering |
| publisherStr | Department of Chemical Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/5305 Development of a nonlinear predictive control algorithm and its application to flotation Knights, Benjamin D H Swartz, Chris Langson, Wilbur Chemical Engineering Bibliography: leaves 118-123. This study consists of four clearly defined and interlinked objectives. The first is the development of a method of solving nonlinear optimal control problems. This method is then used to solve the underlying optimal control problems. This method is then used to solve the underlying optimal control problem in a nonliear model predictive control (NMPC) strategy. By way of a case study, and to further understanding of the mechanisms of flotation, a dynamic model of a flotation circuit is developed. This nonlinear dynamic model is then used in the NMPC strategy to simulate the nonlinear predictive control of a flotation cell. An indirect approach is used in the method for solving optimal control problems, applying the Euler-Lagrange equations to transofrm the optimal control problem into a two-point boundary value problem (BVP). Conventionally these problems have been solved using the multiple shooting differential equation solver, or variants of it. In this work the BVP is solved by orthogonal collocation, using the FORTRAN package COLSYS. Stragegies are developed to solve a number of different classes of optimal control problems, including problems with constraints on the control trajectory, and terminal state constraints. An important aspect of this solution method is that it produces a continuous control trajectory over the entire solution horizon. The use of this optimal control problem in the nonlinear model predictive control strategy of Chen and Algöwer (1998) is then shown. This strategy is a quasi-infinite horizon NMPC strategy making use of a stabilising terminal penalty cost and terminal state inequality constraint. Stability is guaranteed if the optimal conrol problem is feasible. 2014-07-31T11:09:04Z 2014-07-31T11:09:04Z 2001 Master Thesis Masters MSc http://hdl.handle.net/11427/5305 eng application/pdf Department of Chemical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Chemical Engineering Knights, Benjamin D H Development of a nonlinear predictive control algorithm and its application to flotation |
| thesis_degree_str | Master's |
| title | Development of a nonlinear predictive control algorithm and its application to flotation |
| title_full | Development of a nonlinear predictive control algorithm and its application to flotation |
| title_fullStr | Development of a nonlinear predictive control algorithm and its application to flotation |
| title_full_unstemmed | Development of a nonlinear predictive control algorithm and its application to flotation |
| title_short | Development of a nonlinear predictive control algorithm and its application to flotation |
| title_sort | development of a nonlinear predictive control algorithm and its application to flotation |
| topic | Chemical Engineering |
| url | http://hdl.handle.net/11427/5305 |
| work_keys_str_mv | AT knightsbenjamindh developmentofanonlinearpredictivecontrolalgorithmanditsapplicationtoflotation |