Abstract
Output regulation is the problem of finding a control law by which the output of the concerning plant can asymptotically track a prescribed trajectories and/or asymptotically reject undesired disturbances. Meanwhile, the unforced closed-loop system is required to be asymptotically stable. For linear systems the internal model principle is a powerful tool to solve this problem. It is a central problem in control theory.
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References
Byrnes C, Isidori A. Output regulation of nonlinear systems: An overview. Int. J. Robust Nonlinear Contr., 2000, 10(5): 323–337.
Byrnes C, Priscoli F, Isidori A. Output Regulation of Uncertain Nonlinear Systems. Boston: Birkhauser, 1997.
Carr J. Applications of Centre Manifold Theory. New York: Springer, 1981.
Cheng D. Semi-tensor product and its application to Morgan’s problem. Science in China Series F: Information Sciences, 2001, 44(3): 195–212.
Davison E. The robust control of a servomechanism problem for linear time-invariant multi-variable systems. IEEE Trans. Aut. Contr., 1976, 21(1): 25–34.
Francis B. The linear multivariable regulator problem. SIAM J. Contr. Opt., 1977, 14(3): 486–505.
Francis B, Wonham W. The internal model principle of control theory. Automatica, 1976, 12(5): 457–465.
Huang H, Hu G. Control design for the nonlinear benchmark problem via the output regulation method. Journal of Control Theory and Applications, 2004, 2(1): 11–19.
Huang J. A simple proof of the robust linear regulator. Control-Theory and Advanced Technology, 1995, 10(4): 1499–1504.
Huang J. Nonlinear Output Regulation, Theory and Application. Philadelphia: SIAM, 2004.
Huang J, Rugh W. On a nonlinear multivariable servomechanism problem. Automatica, 1990, 26(6): 963–972.
Huang J, Rugh W. Stabilization on zero-error manifold and the nonlinear servomechanism problem. IEEE Trans. Aut. Contr., 1992, 37(7): 1009–1013.
Isidori A, Byrnes C I. Output regulation of nonlinear systems. IEEE Trans. Aut. Contr., 1990, 35(2): 131–140.
Pavlov A, van de Wouw N, Nijmeijer H. Uniform Output Regulation of Nonlinear Systems, A Convergent Dynamics Approach. Boston: Birkhauser, 2006.
Wan C, Bernstein D, Coppola V. Global stabilization of oscillating eccentric rotor. Proceedings 33th CDC, 1994: 4024–4029.
Wonham W. Linear Multivariable Control: A Geometric Aproach, 2nd edn. Berlin: Springer, 1979.
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Cheng, D., Hu, X., Shen, T. (2010). Output Regulation. In: Analysis and Design of Nonlinear Control Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11550-9_12
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DOI: https://doi.org/10.1007/978-3-642-11550-9_12
Publisher Name: Springer, Berlin, Heidelberg
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