Robust constrained predictive control using a sector bounded nonlinear model

A GGP approach to solve non convex min-max predictive controller for a class of constrained MIMO systems described by state-space models

“…As first step, using the GGP method we will solve the optimization problem described by (20). Firstly, we make off-line a translation for all negative variables of the signomial −J following (14). Then, since we don't know the sign of each monomial, we propose to apply power transform-ations off-line for the criterion −J to all monomials apart from their signs.…”

“…The class of predictive control methods that explicitly account for the modeling errors (or uncertainties) is Robust Model Predictive Control (RMPC). This type of MPC has been thoroughly investigated for many years (see e.g [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]). One widely used technique for improving robustness in MPC consists of the min-max optimization [20] where a quadratic cost function is minimized with respect to its worst-case, the latter being taken over the set of all possible plant uncertainties.…”

Preview tracking control for discrete-time nonlinear Lur’e systems with sector-bounded nonlinearities

“…Due to the theoretical and practical importance of these systems, a great deal of research activities have been devoted to nonlinear Lur’e systems. With regard to the control problems of Lur’e systems, the research work mainly focuses on feedback stabilization (Diwadkar et al, 2012, 2015; Kim and Braatz, 2014; Kim and Braatz, 2017; Lee and Park, 2008), predictive control (Lee and Won, 2007; Lee et al, 2012, 2014), robust control (Böhm et al, 2010; Lee et al, 2010; Park et al, 2009; Wang et al, 2008), consensus control (Feng et al, 2017; Liu and Li, 2017), and synchronization control (Cao et al, 2016; Liu and Lee, 2016a). A design for reliable H ∞ tracking control for Lur’e systems was suggested in Wang et al (2008).…”