Tracking control of general nonlinear differential-algebraic equation systems

Authors

  • X. P. Liu,

    1. Dept. of Electrical Engineering, Lakehead University, Thunder Bay, Ontario, P7B 5E1, Canada
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  • S. Rohani,

    Corresponding author
    1. Dept. of Chemical and Biochemical Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada
    • Dept. of Chemical and Biochemical Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada
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  • A. Jutan

    1. Dept. of Chemical and Biochemical Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada
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Abstract

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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