Premium
Explicit improved vertex control for uncertain, time‐varying linear discrete‐time systems with state and control constraints
Author(s) -
Nguyen HoaiNam,
Gutman PerOlof,
Olaru Sorin,
Hovd Morten
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3466
Subject(s) - vertex (graph theory) , state (computer science) , control theory (sociology) , mathematics , state space , control (management) , discrete time and continuous time , affine transformation , exponential stability , piecewise linear function , stability (learning theory) , mathematical optimization , computer science , nonlinear system , algorithm , discrete mathematics , pure mathematics , graph , statistics , physics , geometry , artificial intelligence , quantum mechanics , machine learning
Summary A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time‐varying linear discrete‐time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin. Copyright © 2015 John Wiley & Sons, Ltd.