Title :
Terminal set of min-max model predictive control with guaranteed ℒ2 performance
Author :
Shuyou Yu ; Maier, Christian ; Hong Chen ; Allgower, F.
Author_Institution :
Dept. of Control Sci. & Eng., Jilin Univ., Changchun, China
Abstract :
We present an approach to synthesize the terminal control law and the terminal set of nonlinear model predictive control with guaranteed ℒ2 performance, where a structured feedback uncertainty is considered. The terminal control law, which is obtained through the solution to a Hamilton-Jacobi-Bellman-Isaacs (HJBI) inequality of the Jacobian linearization of the original nonlinear system, renders the uncertain nonlinear system robust invariant in the terminal set.
Keywords :
control system synthesis; feedback; linear matrix inequalities; minimax techniques; nonlinear control systems; predictive control; uncertain systems; HJBI inequality; Hamilton-Jacobi- Bellman-Isaacs inequality; Jacobian linearization; guaranteed L2 performance; minmax model predictive control; nonlinear model predictive control; terminal control law; terminal set; uncertain nonlinear system robust invariant; Jacobian matrices; Linear matrix inequalities; Nonlinear systems; Optimization; Predictive control; Robustness; Uncertainty;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6427091
