Title: Stability analysis in cooperative distributed model predictive control
Authors: Jianhong Wang; Ricardo A. Ramirez-Mendoza; Jorge De J. Lozoya Santos
Addresses: School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico ' School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico ' School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico
Abstract: Due to cooperative distributed model predictive control scheme is widely applied in large scale networks of systems, so asymptotic stability is a very important index for measuring the performance of cooperative distributed model predictive control. Based on the obvious inequality from classical Lyapunov stability condition, we derive a set of linear matrix inequalities to replace the common inequalities by using Schur complement and S-procedure. Furthermore when combining local state and input constraint sets, a set of more complex linear matrix inequalities is used to guarantee the asymptotically stable for cooperative distributed model predictive control.
Keywords: cooperative distributed; model predictive control; stability; linear matrix inequality.
DOI: 10.1504/IJSSE.2019.104187
International Journal of System of Systems Engineering, 2019 Vol.9 No.4, pp.371 - 383
Received: 14 Nov 2018
Accepted: 04 Jul 2019
Published online: 20 Dec 2019 *