Title
Low complexity constrained control using higher degree Lyapunov functions.
Abstract
Explicit Model Predictive Control often has a complex solution in terms of the number of regions required to define the solution and the corresponding memory requirement to represent the solution in the online implementation. An alternative approach to constrained control is based on the use of controlled contractive sets. However, polytopic controlled contractive sets may themselves be relatively complex, leading to a complex explicit solution, and the polytopic structure can limit the size of the controlled contractive set. This paper develops a method to obtain a larger controlled contractive set by allowing higher order functions in the definition of the contractive set, and explores the use of such higher-order contractive sets in controller design leading to a low complexity explicit control formulation.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.09.030
Automatica
Keywords
Field
DocType
Contractive sets,Constrained control,Explicit MPC,Ellipsoidal contractive sets
Lyapunov function,Mathematical optimization,Control theory,Controller design,Model predictive control,Mathematics
Journal
Volume
Issue
ISSN
98
1
0005-1098
Citations 
PageRank 
References 
1
0.37
0
Authors
3
Name
Order
Citations
PageRank
Sarmad Munir110.37
Morten Hovd28216.07
Sorin Olaru326747.10