Multi-objective nonlinear predictive control of process systems: A dual-mode tracking control approach |
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| Affiliation: | 1. Section of Road and Railway Engineering, Delft University of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands;2. Civil Engineering Department, Universidad de Chile, Blanco Encalada 2002, Santiago, Chile;3. Electrical Engineering Department, Universidad de Chile, Avenida Tupper 2007, Santiago, Chile;4. Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands;5. CIRRELT and MAGI, École Polytechnique de Montréal, C.P. 6079, succursale Centre-ville, Montreal, Quebec, Canada;1. Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095-1592, USA;2. Department of Electrical Engineering, University of California, Los Angeles, CA 90095-1592, USA;1. Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA, 90095-1592, USA;2. Department of Chemical Engineering and Materials Science, Wayne State University, Detroit, MI 48202, USA;3. Department of Electrical and Computer Engineering, University of California, Los Angeles, CA 90095-1592, USA |
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| Abstract: | There typically exist different and often conflicting control objectives, e.g., reference tracking, robustness and economic performance, in many chemical processes. The current work considers the multi-objective control problems of continuous-time nonlinear systems subject to state and input constraints and multiple conflicting objectives. We propose a new multi-objective nonlinear model predictive control (NMPC) design within the dual-mode paradigm, which guarantees stability and constraint satisfaction. The notions of utopia point and compromise solution are used to reconcile the confliction of the multiple objectives. The designed controller minimizes the distance of its cost vector to a vector of independently minimized objectives, i.e., the steady-state utopia point. Recursive feasibility is established via a particular terminal region formulation while stabilizing the closed-loop system to the compromise solution via the dual-mode control principle. In order to derive the terminal region as large as possible, a terminal control law with free-parameters is constructed by using the control Lyapunov functions (CLFs) technique. Two examples of multi-objective control of a CSTR and a free-radical polymerization process are used to illustrate the effectiveness of the new multi-objective NMPC and to compare their performance. |
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| Keywords: | Model predictive control Nonlinear systems Multi-objective control Dual-mode control Stability |
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