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| HongNIU,QinglingZHANG,ChunyuYANG,FenglanBAI |
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| (Institute of System Science, Northeastern University; College of Science, Liaoning Shihua University;School of Information and Electrical Engineering, China University of Mining and Technology;School of Science, Dalian Jiaotong University) |
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| Received:March 05, 2012Revised:June 06, 2012 |
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| Variable structure control for three-variable autocatalytic reaction |
| Hong NIU,Qingling ZHANG,Chunyu YANG,Fenglan BAI |
| (Institute of System Science, Northeastern University; College of Science, Liaoning Shihua University;School of Information and Electrical Engineering, China University of Mining and Technology;School of Science, Dalian Jiaotong University) |
| Abstract: |
| In this paper, two irreversible exothermic autocatalytic reactions which carry out in continuous stirred tank reactor (CSTR) are considered. A differential-algebraic system is applied to model these chemical reactions. The stability and the dynamic behavior are studied for the differential-algebraic system. The Hopf bifurcation appears when the parameter exceeds a critical value. In order to eliminate this complex behavior, the differential-algebraic system is described by a single-input and single-output system with parameter varying within definite intervals, and then variable structure control with sliding mode based on a special power reaching law is designed to stabilize this chemical system. Numerical simulations are given to illustrate the effectiveness of the method. |
| Key words: Differential-algebraic systems Autocatalytic reaction Hopf bifurcation Variable structure control |
