Estimation of the Output Deviation Norm for Uncertain, Discrete-Time Nonlinear Systems in a State Dependent Form

Albertini F., Sontag E.D. (1994): Further results on controllability properties of discrete-time nonlinear systems. Dynamics and Control, Vol. 4, No. 3, pp. 235-253.10.1007/BF01985073Search in Google Scholar

Basar T. and Bernhard P. (1995): H[∞]-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach, 2nd Ed., Boston: Birkhäuser.Search in Google Scholar

Bacic M., Cannon M., Kouvaritakis B. (2003): Constrained NMPC via state-space partitioning for input affine non-linear systems. International Journal of Control, Vol. 76, No. 15, pp. 1516-1526.10.1080/00207170310001604963Search in Google Scholar

Dai J., Mao J., (2002): Robust flight controller design for helicopters based on genetic algorithms, Proceedings of the 15th IFAC World Congress, Barcelona 2002, (on CD-ROM)10.3182/20020721-6-ES-1901.00347Search in Google Scholar

Dutka, A., Ordys A. (2004): The optimal nonlinear generalised predictive control by the time-varying approximation. Proceeding of the Conference Methods and Model in Automation and Robotics, Międzyzdroje, Poland, pp. 299-304.Search in Google Scholar

Grancharova A., Johansen T., Tondel P. (2005): Computational aspects of approximate explicit nonlinear model predictive control. In: Lecture Notes in Control and Information Sciences vol. 358/2007: Assessment and Future Directions of Nonlinear Model Predictive Control, Springer Berlin/Heidelberg, pp. 181-192.Search in Google Scholar

Impram S. T., Munro N. (2001): Describing functions in nonlinear systems with structured and unstructured uncertainties. International Journal of Control, Vol. 74, No. 6, pp. 600-608.10.1080/00207170010023160Search in Google Scholar

Kouvaritakis B., Cannon M., Rossiter J. A. (1999): Nonlinear model based predictive control, International Journal of Control, Vol. 72, No. 10, pp. 919-928.Search in Google Scholar

Lee Y. I., Kouvaritakis B., Cannon M. (2002): Constrained receding horizon predictive control for nonlinear systems, Automatica, Vol. 38, No. 12, pp. 2093-2102.Search in Google Scholar

Lewis F. L. (1986): Optimal Control. John Wiley & Sons, New York.Search in Google Scholar

Ordys A. W., and Clarke D. W. (1993): A state-space description for GPC controllers. International Journal of Systems Science, Vol. 24, No. 9, pp. 1727-1744.10.1080/00207729308949590Search in Google Scholar

Orlstrok;owski P. (2001): Applications of discrete evolution operators in time-varying systems. Proceedings of the European Control Conference, Porto, Portugal, pp. 3259-3264.Search in Google Scholar

Orłowski, P. (2003): Robust control design for a class of non-linear systems. Proceedings of the Process Control PC'03 Conference, Strbske Pleso, Slovakia, CD-ROM.Search in Google Scholar

Orlstrok;owski P. (2004): Selected problems of frequency analysis for time-varying discrete-time systems using singular value decomposition and discrete Fourier transform. Journal of Sound and Vibration, Vol. 278, No. 4-5, pp. 903-921.Search in Google Scholar

Orlstrok;owski P. (2006): Methods for stability evaluation for linear time varying, discrete-time systems on finite time horizon. International Journal of Control, Vol. 79, No. 3, pp. 249-262.Search in Google Scholar

Postlethwaite I.,. Tsai M.C and Gu D.W. (1990): Weighting function selection in Hinf design. Proceedings of the IFAC Word Congress, Tallinn, Estonia, pp. 104-109.Search in Google Scholar

Tang, K.S., Man K.F., and Gu D.W. (1996): Structured genetic algorithm for robust H1 control systems design, IEEE Transactions on Industrial Electronics, Vol. 43, No. 5, pp. 575-582.Search in Google Scholar

Whidborne, J. F., Postlethwaite I. and Gu D. W. (1994): Robust controller design using Hinf loop-shaping and the method of inequalities, IEEE Transactions on Control Systems Technology, Vol. 29, No. 4, pp. 455-461.Search in Google Scholar

Van der Schaft, A.J. (1992): L₂-gain analysis of nonlinear systems and nonlinear state feedback H control, IEEE Transactions on Automatic Control, Vol. AC-37, No. 6, pp. 770-784.Search in Google Scholar

Yang C.D., Tai H.C., and Lee C. C. (1997): Experimental approach to selecting Hinf weighting functions for DC servos. Journal of Dynamic Systems, Measurement and Control, Vol. 119, No. 1, pp. 101-105.10.1115/1.2801197Search in Google Scholar

Zhou, K., Doyle, J.C., and Glover, K. (1996): Robust and Optimal Control, Englewood Cliffs, NJ: Prentice Hall.Search in Google Scholar