Stability analysis in cooperative distributed model predictive control. (17th December 2019)

• Record Type: Journal Article
• Authors: Wang, Jianhong; Ramirez-Mendoza, Ricardo A.; Santos, Jorge De J. Lozoya
• Is Part Of: International journal of system of systems engineering. Volume 9:Number 4(2019)
• Page Start: 371
• Page End: 383
• Publication Date: 2019-12-17
• Subjects: cooperative distributed -- model predictive control -- stability -- linear matrix inequality; 003.71
• Languages: English
• ISSNs: 1748-0671

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.