Controller design for distributed systems via bass' technique
Article first published online: 17 JUN 2004
Copyright © 1972 American Institute of Chemical Engineers
Volume 18, Issue 4, pages 734–738, July 1972
How to Cite
Baker, T. E. and Brosilow, C. B. (1972), Controller design for distributed systems via bass' technique. AIChE J., 18: 734–738. doi: 10.1002/aic.690180412
- Issue published online: 17 JUN 2004
- Article first published online: 17 JUN 2004
- Manuscript Revised: 1 MAR 1972
- Manuscript Accepted: 1 MAR 1972
- Manuscript Received: 9 JUL 1971
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.