Tracking control of general nonlinear differential‐algebraic equation systems | Zendy

Liu X. P. | Zendy; Rohani S. | Zendy; Jutan A. | Zendy

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Tracking control of general nonlinear differential‐algebraic equation systems

Author(s) -

Liu X. P.,

Rohani S.,

Jutan A.

Publication year - 2003

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.690490713

Subject(s) - control theory (sociology) , nonlinear system , regularization (linguistics) , algebraic number , tracking (education) , mathematics , controller (irrigation) , nonlinear control , differential (mechanical device) , algebraic equation , computer science , mathematical optimization , control (management) , engineering , mathematical analysis , artificial intelligence , psychology , pedagogy , physics , quantum mechanics , agronomy , biology , aerospace engineering

The problem of output tracking control is considered for a general class of nonlinear differential‐algebraic systems. Regularization algorithm proposed here provides sufficient conditions for the existence of a regularizing feedback controller that renders the closed‐loop system to have an index one. Based on the regularization algorithm, another algorithm is developed for constructing a tracking controller, which guarantees that the outputs of the closed‐loop system track the desired signals asymptotically. Simulation results on a typical chemical process show that the developed design method gives a satisfactory control performance.

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