An approach to the analysis of observability and controllability in nonlinear systems via linear methods
By: Alexey Zhirabok and Alexey Shumsky
References
- Albertini, F. and D’Alessandro, D. (2002). Observability and forwardbackward observability of discrete-time nonlinear systems, Mathematics of Control, Signal and Systems 15(3): 275-290.
- Guermah, S., Djennoune, S. and Bettayeb, M. (2008). Controllability and observability of linear discrete-time fractionalorder systems, International Journal of Applied Mathematics and Computer Science 18(2): 213-222, DOI: 10.2478/v10006-008-0019-6.
- Herman, R. and Krener, A. (1977). Nonlinear controllability and observability, IEEE Transactions on Automatic Control AC-22(5): 728-740.
- Isidori, A. (1989). Nonlinear Control Systems, Springer, London.
- Jakubczyk, B. and Sontag, E. (1990). Controllability of nonlinear discrete-time systems: A lie-algebraic approach, SIAM Journal Control and Optimization 28(1): 1-33.
- Jank, G. (2002). Controllability, observability and optimal control of continuous-time 2-D systems, International Journal of Applied Mathematic and Computer Science 12(2): 181-195.
- Kalman, R., Falb, P. and Arbib, M. (1969). Topics in Mathematical System Theory, Mc Graw-Hill Company, New York, NY.
- Kang, W. (2010). Analyzing control systems by using dynamic optimization, 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy.
- Kang, W. and Xu, L. (2009). A quantitative measure of observability and controllability, 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 6413-6418.
- Kawano, Y. and Ohtsuka, T. (2010). Global observability of discrete-time polynomial systems, 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy, pp. 646-651.
- Klamka, J. (1973). Uncontrollability and unobservability of composite systems, IEEE Transactions on Automatic Control AC-18(5): 539-540.
- Klamka, J. (1975). On the global controllability of perturbed nonlinear systems, IEEE Transactions on Automatic Control AC-20(1): 170-172.
- Klamka, J. (2002). Controllability of nonlinear discrete systems, American Control Conference, Anchorage, AK, USA, pp. 4670-4671.
- Koplon, R. and Sontag, E. (1993). Linear systems with signobservations, SIAM Journal Control and Optimization 31(12): 1245-1266.
- Kotta, U. and Schlacher, K. (2008). Possible non-integrability of observable space for discrete-time nonlinear control systems, 17th IFAC World Congress, Seoul, Korea, pp. 9852-9856.
- Krener, A. and Ide, K. (2009). Measures of unobservability, 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 6401-6406.
- Kwakernaak, H. and Sivan, R. (1972)., A Division of John Sons, Inc., New York, NY.
- Mincheko, L. and Sirotko, S. (2002). Controllability of non-smooth discrete systems with delay,(1): 161-174.
- Murphey, T. and Burdick, J. (2002). Nonsmooth controllability theory and an example,, pp. 370-376.
- Nijmeijer, H. (1982). Observability of autonomous discrete-time nonlinear systems: A geometric approach,(6): 867-874.
- Sontag, E. (1979). On the observability of polynomial systems, I: Finite-time problems,(1): 139-151.
- Sussmann, H. (1979). Single-input observability of continuoustime systems,(3): 371-393.
- van der Schaft, A.J. (1982). Observability and controllability for smooth nonlinear systems,(3): 338-354.
- Wohnam, M. (1985)., Springer-Verlag, New York, NY.
- Zhirabok, A. (1998a). Controllability of nonlinear discrete dynamic systems,, pp. 281-283.
- Zhirabok, A. (1998b). Observability and controllability properties of nonlinear dynamic systems,(1): 1-4.
- Zhirabok, A. (2010). Analysis of observability and controllability of nonlinear dynamic systems by linear methods,(1): 8-15.
- Zhirabok, A. and Shumsky, A. (2008)., Dalnauka, Vladivostok, (in Russian).
- Zhirabok, A. and Shumsky, A. (2010). Linear methods in observability and controllability of nonlinear systems,, pp. 308-313.
- Zhirabok, A. and Usoltsev, S. (2002). Fault diagnosis for nonlinear dynamic systems via linear methods,.
Language: English
Page range: 507 - 522
Published on: Sep 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Related subjects:
© 2012 Alexey Zhirabok, Alexey Shumsky, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.