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Performance index sensitivity of optimal control systems with uncertain parameters
Author(s) -
Ronge Peter
Publication year - 1985
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.4660060405
Subject(s) - sensitivity (control systems) , scalar (mathematics) , feed forward , control theory (sociology) , control (management) , computer science , identification (biology) , optimal control , index (typography) , reduction (mathematics) , mathematical optimization , mathematics , control engineering , engineering , artificial intelligence , world wide web , botany , geometry , electronic engineering , biology
The solutions of optimal control problems are sensitive to the changes of parameters which can occur due to either their statistical nature or to an identification which is only approximate. To allow a reduction of this sensitivity two scalar sensitivity measures are proposed which can be incorporated into an augmented performance index. Different interpretations of the measures are given. As a first application, the problem of an insensitive feedforward control is investigated. An efficient numerical method for its solution is given. An example demonstrates not only the feasibility of this new approach but also the possible improvement in comparison to the standard optimal control procedure for problems where knowledge about system uncertainties has to be included in the design.