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A decomposition approach to suboptimal control of discrete‐time systems
Author(s) -
Nardini Andrea,
Piccardi Carlo,
SonciniSessa Rodolfo
Publication year - 1994
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660150102
Subject(s) - discrete time and continuous time , controller (irrigation) , simple (philosophy) , control theory (sociology) , decomposition , scheme (mathematics) , class (philosophy) , line (geometry) , mathematical optimization , optimal control , computer science , state (computer science) , control (management) , optimization problem , mathematics , algorithm , ecology , mathematical analysis , philosophy , statistics , geometry , epistemology , artificial intelligence , agronomy , biology
A suboptimal controller for a class of discrete‐time systems is presented. The controller is derived by first solving ‘off‐line’ a simplified optimal control problem obtained by neglecting part of the system state and by considering a larger time step, then by solving ‘on‐line’ at each time step an optimization problem based on the results of the previously solved ‘off‐line’ problem. A simple numerical example is presented to illustrate the control scheme.