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Decentralized control of nonlinear large-scale systems using dynamic output feedback. (English) Zbl 0966.93015

Two systems are said to be similar if there exists a diffeomorphism which transforms the equation of one of them into the equation of the other one. The paper deals with a class of uncertain nonlinear large-scale systems comprising similar subsystems. A dynamic output feedback controller is designed via a Lyapunov function. The novelty here is that matched uncertainties are considered in the control design, and that by using a decomposition scheme, the known and uncertain interconnections are dealt with separately. The fact that the subsystems are similar reduces the computational complexity of the problem.

MSC:

93A14 Decentralized systems
93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93A15 Large-scale systems
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[1] Lam, J., and Yang, G. H., Balanced Model Reduction of Symmetric Composite Systems, International Journal of Control, Vol. 65, pp. 1031–1043, 1996. · Zbl 0868.93010
[2] Qu, Z., and Dawson, D. M., Robust Control of Cascaded and Individually Feedback Linearizable Nonlinear Systems, Automatica, Vol. 30, pp. 1057–1064, 1994. · Zbl 0800.93284
[3] Yan, X. G., Wang, J. J., Lu, X. Y., and Zhang, S. Y., Decentralized Output Feedback Robust Stabilization for a Class of Nonlinear Interconnected Systems with Similarity, IEEE Transactions on Automatic Control, Vol. 43, pp. 294–299, 1998. · Zbl 0906.93003
[4] Chen, Y. H., Wang, W. J., and Mau, L. H., Robust Stabilization of Large-Scale Time-Delay Systems with Estimated State Feedback, Journal of Optimum Theory and Application, Vol. 89, pp. 543–559, 1996. · Zbl 0851.93069
[5] Jain, S., and Khorrami, F., Decentralized Adaptive Output Feedback Design for Large-Scale Nonlinear Systems, IEEE Transactions on Automatic Control, Vol. 42, pp. 729–735, 1997. · Zbl 0883.93005
[6] Mahmoud, M. S., Stabilizing Control for a Class of Uncertain Interconnected Systems, IEEE Transactions on Automatic Control, Vol. 39, pp. 2484–2488, 1994. · Zbl 0825.93628
[7] Yan, X. G., and Dai, G. Z., Decentralized Output Feedback Robust Control for Nonlinear Large-Scale Systems, Automatica, Vol. 34, pp. 1469–1472, 1998. · Zbl 0934.93007
[8] Chen, Y. H., Decentralized Robust Output and Estimated State Feedback Controls for Large-Scale Systems, International Journal of Control, Vol. 46, pp. 1979–1992, 1987. · Zbl 0634.93005
[9] Wang, W. J., and Mau, L. G., Stabilization and Estimation for Perturbed Discrete Time-Delay Large-Scale Systems, IEEE Transactions on Automatic Control, Vol. 42, pp. 1277–1282, 1997. · Zbl 0889.93006
[10] Syrmos, V. L., Abdallah, C. T., Dorato, P., and Grigoriadis, K., Static Output Feedback: A Survey, Automatica, Vol. 33, pp. 125–137, 1997. · Zbl 0872.93036
[11] Sundareshan, M. K., and Elbanna, R. M., Qualitative Analysis and Decentralized Controller Synthesis for a Class of Large-Scale Systems with Symmetrically Interconnected Subsystems, Automatica, Vol. 27, pp. 383–388, 1991. · Zbl 0729.93007
[12] Yan, X. G., Lam, J., and Dai, G. Z., Decentralized Robust Control for Nonlinear Similar Large-Scale Systems, Computer and Electrical Engineering, Vol. 25, pp. 169–179, 1999. · Zbl 05467607
[13] Isidori, A., Nonlinear Control Systems, 3rd Edition, Springer Verlag, London, Great Britain, 1995. · Zbl 0878.93001
[14] Marino, R., and Tomei, P., Nonlinear Control Design, Prentice Hall International, Englewood Cliffs, New Jersey, 1995. · Zbl 0833.93003
[15] Zak, S. H., On the Stabilization and Observation of Nonlinear/Uncertain Dynamic Systems, IEEE Transactions on Automatic Control, Vol. 35, pp. 604–607, 1990. · Zbl 0705.93067
[16] Cheng, C. F., Output Feedback Stabilization for Uncertain Systems: Constrained Riccati Approach. IEEE Transactions on Automatic Control, Vol. 43, pp. 81–84, 1998. · Zbl 0907.93049
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