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Time‐optimal control of linear systems
Author(s) -
Luus Rein
Publication year - 1974
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450520115
Subject(s) - weighting , diagonal , control theory (sociology) , linear system , matrix (chemical analysis) , optimal control , mathematics , function (biology) , diagonal matrix , linear control systems , liapunov function , mathematical optimization , control (management) , computer science , nonlinear system , mathematical analysis , physics , geometry , materials science , quantum mechanics , artificial intelligence , evolutionary biology , acoustics , composite material , biology
A useful procedure for the solution of time‐optimal control problems for linear systems is presented. The procedure consists of a direct search method for the determination of the best diagonal weighting matrix used in a Liapunov function for the system. The control policy chosen to minimize the forward difference of the Liapunov function yields very rapid approach to the origin. Numerical results are presented for a linear six‐plate gas absorber to show the feasibility of the proposed method. Even in the presence of disturbances the system can be taken to and kept at the vicinity of the origin.