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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Forbes, M.G. Forbes, J.F. Guay, M. |
| Copyright Year | 2003 |
| Description | Author affiliation: Dept. of Chem. & Mater. Eng., Alberta Univ., Edmonton, Alta., Canada (Forbes, M.G.; Forbes, J.F.) |
| Abstract | This paper presents a regulatory controller synthesis technique that makes a pre-selected probability density function (PDF) for the closed-loop (CL) process the target of the design. The proposed design technique, referred to as PDF-shaping, approximately solves the integral equation giving the PDF of the CL process dynamics. The parameterization of the closed-loop process dynamics results in the parameterization of a controller that yields the required closed-loop PDF. Controller synthesis is then a matter of selecting, based on engineering or economic concerns, a target distribution, and then applying the proposed technique to find the approximate closed-loop dynamics. The special case of PDF-shaping using Gram-Charlier PDFs is presented, as well as the general case. Results of this novel approach to controller synthesis are demonstrated with numerical simulations for an example process. |
| Sponsorship | American Automatic Control Council IFAC |
| Starting Page | 3998 |
| Ending Page | 4003 |
| File Size | 433811 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780378962 |
| ISSN | 07431619 |
| DOI | 10.1109/ACC.2003.1240461 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2003-06-04 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Control design Stochastic processes Probability density function Feedback control Cost function Chemical engineering Shape control Integral equations Control system synthesis Numerical simulation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering |
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