Hybrid explicit model predictive control of a nonlinear process approximated with a piecewise affine model

✍ Scribed by Boštjan Pregelj; Samo Gerkšič

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 401 KB
• Volume: 20
• Category: Article
• ISSN: 0959-1524
• DOI: 10.1016/j.jprocont.2010.05.002

✦ Synopsis

The recently developed methods of explicit (multi-parametric) model predictive control (e-MPC) for hybrid systems provide an interesting opportunity for solving a class of nonlinear control problems. With this approach, the nonlinear process is approximated by a piecewise affine (PWA) hybrid model containing a set of local linear dynamics. Compared to linear-model-based MPC, a performance improvement is expected with the reduction of the plant-to-model mismatch; however at a cost of controller computation complexity. In order to reduce the computational load, so that desired horizon lengths may be used, we present an efficient sub-optimal solution. The feasibility of the approach for the application was evaluated in an experimental case study, where an output feedback, offset-free-tracking hybrid e-MPC controller was considered as a replacement for a PID-controller-based scheme for the control of the pressure in a wire-annealing machine.