New conditions for nonlinear observer error linearizability with computer programming

A. J. Krener and A. Isidori, “Linearization by output injection and nonlinear observers,” Systems and Control Letters, vol. 3, no. 1, pp. 47–52, 1983.

D. Bestle and M. Zeitz, “Canonical form observer design for non-linear time-variable systems,” International J. Control, vol. 38, no. 2, pp. 419–431, 1983.

A. J. Krener and W. Respondek, “Nonlinear observers with linearizable error dynamics,” SIAM J. Control Optim., vol. 23, no. 2, pp. 197–216, 1985.

X. H. Xia and W.-B. Gao, “Nonlinear observer design by observer canonical forms,” International J. Control, vol. 47, no. 4, pp. 1081–1100, 1988.

X. H. Xia and W.-B. Gao, “Nonlinear observer design by observer error linearization,” SIAM J. Control Optim., vol. 27, no. 1, pp. 199–216, 1989.

M. Hou, and A. C. Pugh, “Observer with linear error dynamics for nonlinear multi-output systems,” Systems and Control Letters, vol. 24, no. 4, pp. 291–300, 1999.

W. Lee and K. Nam, “Observer design for autonomous discrete-time nonlinear systems,” Systems and Control Letters, vol. 17, no. 1, pp. 49–58, 1991.

W. Lin and C. I. Byrnes, “Remarks on linearization of discrete-time autonomous systems and nonlinear observer design,” Systems and Control Letters, vol. 25, no. 1, pp. 31–40, 1995.

C. Califano, S. Monaco, and D. Normand-Cyrot, “On the observer design in discrete-time,” Systems and Control Letters, vol. 49, no. 4, pp. 255–265, 2003.

H.-G. Lee, A. Arapostathis, and S. I. Marcus, “Necessary and sufficient conditions for state equivalence to a nonlinear discrete-time observer canonical form,” IEEE Trans. on Automatic Control, vol. 53, no. 11, pp. 2701–2707, 2008.

H.-G. Lee and J.-M. Hong, “Algebraic conditions for state equivalence to a discrete-time nonlinear observer canonical form,” Systems and Control Letters, vol. 60, no. 9, pp. 756–762, 2011.

A. Isidori, Nonlinear Control Systems, 3rd ed., Springer-Verlag, New York, 1995.

H. Nijmeijer and A. J. van der Schaft, Nonlinear Dynamical Control Systems, Springer-Verlag, New York, 1990.

R. Marino and P. Tomei, Nonlinear Control Design, Prentice-Hall, New York, 1995.