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Stabilizing optimal control of bilinear systems with a generalized cost
Author(s) -
Tzafestas S. G.,
Anagnostou K. E.,
Pimenides T. G.
Publication year - 1984
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.4660050204
Subject(s) - bilinear interpolation , control theory (sociology) , optimal control , lyapunov function , quadratic equation , mathematics , state (computer science) , class (philosophy) , mathematical optimization , function (biology) , order (exchange) , control (management) , computer science , nonlinear system , economics , algorithm , statistics , physics , geometry , quantum mechanics , artificial intelligence , evolutionary biology , biology , finance
Stabilizing and optimizing feedback control policies are derived for the important class of bilinear systems with generalized quadratric cost functions. These policies as well as the resulting optimal costs are quadratic in the state. The optimal cost function is shown to be a Lyapunov function for the bilinear system at hand. The resulting optimal and stabilized closed‐loop system is of third order with respect to the state. One illustrative example is included.