Title :
Discontinuous feedback stabilization of minimum-phase semilinear infinite-dimensional systems with application to chemical tubular reactor
Author :
Orlov, Yuri Iouri ; Dochain, Denis
Author_Institution :
Electron. & Telecommun. Dept., CICESE Res. Center, San Diego, CA, USA
fDate :
8/1/2002 12:00:00 AM
Abstract :
This paper develops discontinuous control methods for minimum-phase semilinear infinite-dimensional systems driven in a Hilbert space. The control algorithms presented ensure asymptotic stability, global or local accordingly, as state feedback or output feedback is available, as well as robustness of the closed-loop system against external disturbances with the a priori known norm bounds. The theory is applied to stabilization of chemical processes around prespecified steady-state temperature and concentration profiles corresponding to a desired coolant temperature. Two specific cases, a plug flow reactor and an axial dispersion reactor, governed by hyperbolic and parabolic partial differential equations of first and second order, respectively, are under consideration. To achieve a regional temperature feedback stabilization around the desired profiles, with the region of attraction, containing a prescribed set of interest, a component concentration observer is constructed and included into the closed-loop system so that there is no need for measuring the process component concentration which is normally unavailable in practice. Performance issues of the discontinuous feedback design are illustrated in a simulation study of the plug flow reactor.
Keywords :
Hilbert spaces; chemical industry; closed loop systems; distributed parameter systems; multidimensional systems; observers; process control; stability; state feedback; Hilbert space; chemical processes; closed-loop system; distributed parameter systems; infinite-dimensional systems; output feedback; robustness; sliding modes; state feedback; state observer; Asymptotic stability; Chemical reactors; Control systems; Hilbert space; Inductors; Output feedback; Plugs; Robust control; State feedback; Temperature;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.800737