Robust Multi-Parametric Control of Continuous-Time Linear Dynamic Systems. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Sun, Muxin; Villanueva, Mario E.; Pistikopoulos, Efstratios N.; Chachuat, Benoît
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 4660
• Page End: 4665
• Publication Date: 2017-07
• Subjects: Robust model predictive control -- Constrained linear-quadratic regulation -- Multi-parametric programming -- Multi-parametric NCO-tracking; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.690
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We extend a recent methodology called multi-parametric NCO-tracking for the design of parametric controllers for continuous-time linear dynamic systems in the presence of uncertainty The approach involves backing-off the path and terminal state constraints based on a worst-case uncertainty propagation determined using either interval analysis or ellipsoidal calculus. We address the case of additive uncertainty and we discuss approaches to handling multiplicative uncertainty that retain tractability of the mp-NCO-tracking design problem, subject to extra conservatism. These developments are illustrated with the case study of a fluidized catalytic cracking (FCC) unit operated in partial combustion mode.