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nonlinear output regulation; singularly perturbed equation; gyroscope

References:

[1] C. I. Byrnes, F. Delli Priscoli, A. Isidori, and W. Kang: **Structurally stable output regulation of nonlinear systems**. Automatica 33 (1997), 369–285. MR 1442555

[2] S. Čelikovský and B. Rehák: **Output regulation problem with nonhyperbolic zero dynamics: a FEMLAB-based approach**. In: Proc. 2nd IFAC Symposium on System, Structure and Control 2004, Oaxaca 2004, pp. 700–705.

[3] S. Čelikovský and B. Rehák: **FEMLAB-based error feedback design for the output regulation problem**. In: Proc. Asian Control Conference 2006. Bandung 2006.

[4] S. Devasia: **Nonlinear inversion-based output tracking**. IEEE Trans. Automat. Control 41 (1996), 930–942. MR 1398777 | Zbl 0859.93006

[5] B. A. Francis and W. M. Wonham: **The internal model principle of control theory**. Automatica 12 (1976), 457–465. MR 0429257

[6] B. A. Francis: **The linear multivariable regulator problem**. SIAM J. Control Optim. 15 (1977), 486–505. MR 0446631

[7] J. S. A. Hepburn and W. M. Wonham: **Error feedback and internal models on differentiable manifolds**. IEEE Trans. Automat. Control 29 (1981), 397–403. MR 0748204

[8] J. Huang: **Nonlinear Output Regulation: Theory and Applications**. SIAM, New York 2004. MR 2308004 | Zbl 1087.93003

[9] J. Huang: **Output regulation of nonlinear systems with nonhyperbolic zero dynamics**. IEEE Trans. Automat. Control 40 (1995), 1497–1500. MR 1343825 | Zbl 0841.93022

[10] J. Huang: **On the solvability of the regulator equations for a class of nonlinear systems**. IEEE Trans. Automat. Control 48 (2003), 880–885. MR 1980601

[11] J. Huang and W. J. Rugh: **On a nonlinear multivariable servomechanism problem**. Automatica 26 (1990), 963–972. MR 1080983

[12] A. Isidori and C. I. Byrnes: **Output regulation of nonlinear systems**. IEEE Trans. Automat. Control 35 (1990), 131–140. MR 1038409

[13] A. Isidori: **Nonlinear Control Systems**. Third edition. Springer, Berlin – Heidelberg – New York 1995. Zbl 0931.93005

[14] H. K. Khalil: **Nonlinear Systems**. Pearson Education Inc., Upper Saddle River 2000. Zbl 1140.93456

[15] B. Rehák, J. Orozco-Mora, S. Čelikovský, and J. Ruiz-León: **FEMLAB-based output regulation of nonhyperbolically nonminimum phase system and its real-time implementation**. In: Proc. 16th IFAC World Congress, Prague, IFAC 2005.

[16] B. Rehák, J. Orozco-Mora, S. Čelikovský, and J. Ruiz-León: **Real-time error-feedback output regulation of nonhyperbolically nonminimum phase system**. In: Proc. American Control Conference 2007, New York 2007.

[17] B. Rehák and S. Čelikovský: **Numerical method for the solution of the regulator equation with application to nonlinear tracking**. Automatica 44 (2008), 1358–1365. MR 2531803

[18] H.-G. Roos, M. Stynes, and L. Tobiska: **Numerical Methods for Singularly Perturbed Differential Equations**. Springer, Berlin 1996. MR 1477665

[19]
J. Ruiz-León, J. L. Orozco-Mora, and D. Henrion: Real-time $H_{2}$ and $H_{\infty }$ control of a gyroscope using Polynomial Toolbox 2.5. In: Latin-American Conference on Automatic Control CLCA 2002, Guadalajara 2002.

[20] A. B. Vasil’eva and B. F. Butuzov: **Asymptotic Expansions of Solutions of Singularly Perturbed Equations (in Russian)**. Nauka, Moscow 1973. MR 0477344