Title
Special section technical notes and correspondence. Min-max model predictive control of nonlinear systems using discontinuous feedbacks.
Abstract
This note proposes a model predictive control (MPC) algorithm for the solution of a robust control problem for continuous-time systems. Discontinuous feedback strategies are allowed in the solution of the min-max problems to be solved. The use of such strategies allows MPC to address a large class of nonlinear systems, including among others nonholonomic systems. Robust stability conditions to ensure steering to a certain set under bounded disturbances are established. The use of bang-bang feedbacks described by a small number of parameters is proposed, reducing considerably the computational burden associated with solving a differential game. The applicability of the proposed algorithm is tested to control a unicycle mobile robot.
Year
DOI
Venue
2003
10.1109/TAC.2003.817915
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Predictive models,Predictive control,Nonlinear systems,Feedback,Robust control,Control system synthesis,Industrial control,Uncertainty,Lyapunov method,Adaptive control
Mathematical optimization,Nonlinear system,Control theory,Model predictive control,Differential game,Automatic control,Adaptive control,Robust control,Nonholonomic system,Mathematics,Sliding mode control
Journal
Volume
Issue
ISSN
48
10
0018-9286
Citations 
PageRank 
References 
23
2.10
10
Authors
2
Name
Order
Citations
PageRank
Fernando A. C. C. Fontes15210.70
Lalo Magni231830.63