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Controller design for distributed systems via bass' technique
Author(s) -
Baker Thomas E.,
Brosilow Coleman B.
Publication year - 1972
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.690180412
Subject(s) - control theory (sociology) , exponential stability , mathematics , discretization , partial differential equation , lyapunov function , bass (fish) , controller (irrigation) , invariant (physics) , stability theory , mathematical analysis , computer science , control (management) , nonlinear system , physics , ecology , quantum mechanics , artificial intelligence , agronomy , mathematical physics , biology
Bass' feedback controller design technique is extended to distributed parameter systems and its use is illustrated for a parabolic system with boundary control. The development of the design technique rests on a conjecture concerning the necessary and sufficient conditions for the asymptotic stability of linear time invariant partial differential equations. It is shown through a study of the discretized analog of a distributed system that the most likely candidate for a Lyapunov functional general enough to yield the necessary and sufficient conditions for asymptotic stability is a double integral with a symmetric kernel.