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Discrete‐time nonlinear feedback control of multivariable processes
Author(s) -
Soroush Masoud,
Kravaris Costas
Publication year - 1996
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690420116
Subject(s) - control theory (sociology) , multivariable calculus , nonlinear system , discrete time and continuous time , nonlinear control , feedback control , process (computing) , process control , feedback loop , computer science , minimum phase , mathematics , control (management) , phase (matter) , control engineering , engineering , physics , statistics , computer security , quantum mechanics , artificial intelligence , operating system
Discrete‐time nonlinear feedback control laws are derived for multivariable nonlinear processes, whose “delay‐free” parts are minimum phase. These include mixed error‐and state‐feedback, error‐feedback, and mixed error‐ and output‐feedback laws, which can induce linear input–output closed‐loop response. This study is carried out within the framework of the discrete‐time globally linearizing control. The broader class of nonlinear processes, in which controlled outputs as well as some other process variables are measured, are also considered. A mixed error‐ and output‐feedback control law is derived for this class of processes. The conditions under which the mixed error‐ and output‐feedback can be applied to a process operating at or around an open‐loop unstable equilibrium point are determined. The application and performance of the derived control laws are illustrated by the numerical simulation of a chemical reactor.