Abstract
In the previous nine chapters of this book, we explored the theory, methods, models, control laws and results of simulation for nonlinear optimal control. The research results in the field of nonlinear optimal control of power systems achieved by the authors of this book are not only in theory, but also in practice. A type of digital nonlinear optimal excitation controllers of generators (NOEC) developed by the National Key Laboratory of Power Systems in Tsinghua University, China, has been put into operation in a series of Chinese power stations. And the NOEC have played an important role in improving dynamic performance and stability of power systems. Moreover, a new type of digital nonlinear optimal governors (NOG) for hydro turbines has also been developed by the same Laboratory above mentioned. The application of the NOEC and NOG to the Three Gorge Power Station is hopeful.
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References
A. Friedman, Differential Games, Wily-Interscience, New York, 1971.
A. Isidori, “H∞ Control via Measurement Feedback for Affine Nonlinear Systems”, International Journal of Robust and Nonlinear Control, Vol.4, pp. 553–574, 1994.
A. Isidori, Nonlinear Control Systems: An Introduction (3rd Edition), Springer-Verlag, New York, 1995.
A. Isidori and A. Astolfi, “Disturbance Attenuation and H∞ Control via Measurement Feedback in Nonlinear Systems”, IEEE Trans. AC, Vol. 37, No. 10, pp.1283–1293, 1992.
B. A. Francis, A Course in H∞ Control Theory, New York: Springer-Verlag, 1987.
C. A. Jcobson, A. M. Stankovic, G. Tadmor and M. A. Stevens, “Towards a Dissipativity Framework for Power System Stabilizer Design”, IEEE Trans. PS, Vol. 11, No. 4, pp. 1963–1968, November, 1996.
D. Cheng, T. J. Tarn and A. Isidori, “Global Linearization of Nonlinear Systems Via Feedback”, IEEE AC, Vol. 30, No. 8, pp. 808–811, 1985.
D. J. Hill and P. J. Moylan, “Connections between Finite-Gain and Asymptotic Stability”, IEEE Trans. AC, Vol. 25, pp. 931–936, 1980.
D. J. Hill and P. J. Moylan, “Dissipative Dynamical Systems: Basic Input-Output and State Propertiies”, J. Frankin Inst, Vol. 309, pp.327–357, 1980.
D. J. Hill and P. J. Moylan, “The Stability of Nonlinear Dissipative Systems”, IEEE Trans. AC, Vol. 21, pp. 708–711, 1976.
G. Guo, Y. Wang and D. J. Hill, “Nonlinear Output Stabilization Control for Multimachine Power Systems”, IEEE Trans. Circuit and Systems, Part 1, Vol. 47, No. 1, pp. 46–53, 2000.
H. Jiang, H. Cai, J. F. Dorsey and Z. QU. “Towards a Globally Robust Decentralized Control for Large-Scale Power Systems”, IEEE Trans. Control Systems Technology, Vol. 5,pp.309–319, 1997.
J. C. Willems, “Dissipative Dynamical Systems, Part I: General Theory”, Arch. Rat. Mech. Anal., Vol. 45, pp. 321–351, 1972.
J. C. Willems, “Dissipative Dynamical Systems, Part II: Linear Systems with Quadratic Supply Rates”, Arch. Rat. Mech. Anal., Vol. 45, pp.352–393, 1972.
J. Doyle, K. Glover, P. Khargonekar, B. A. Francis, “State-Space Solution to Standard H2 and H∞. Control Problem”, IEEE AC, Vol. 34, No. 8, pp.831–842, 1989.
J. William Helton, Matthew R. James, Extending H∞ Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives, SI AM, Philadelphia, 1999.
K. Ohtsuka, T. Taniguchi, T. Sato et. al., “A H∞ Optimal Theory-Based Generator Control System”, IEEE Trans. EC, Vol. 7, No. 1, pp. 108–113. 1992.
K. Zhou, J. C. Doyle and K. Glover, Robust and Optimal Control, Upper Saddle River, NJ:Prentice-Hall, 1996.
M. James, “Computing the H∞ Norm for Nonlinear Systems”, Proc. 12th IF AC World Congr, Sydney, Australia, 1993.
Q. Lu, S. Mei, T. Shen and W. Hu, “Recursive Design of Nonlinear H∞ Excitation Controller”, Science in China(series E), Vol. 43, No. 1, pp23–31, 2000.
Q. Lu, S. Mei, W. Hu and Y. H. Song, “Decentralized Nonlinear H∞ Excitation Control Based on Regulation Linearization”, IEE Proc-Gener. Transm. Distrib., Vol 147, No. 4, pp245–251,2000.
R. Issacs, Differential Games, Wiley, New York, 1965.
R. Marino, W. Respondek, A. J. van der Schaft and P. Tomei, “Nonlinear H∞ Almost Disturbance Decoupling”, System & Control Letters. Vol. 23, pp. 159–168, 1994.
S. Chen and O. P. Malik, “H∞, Optimization-Based Power System Stabilizer Design”, IEE Proc.-Generation, Transmission and Distribution, Vol. 142, No.2, pp. 179–184, 1995.
Van Schaft, “L2-Gain Analysis of Nonlinear Systems and Nonlinear State Feedback H∞ Control”, IEEE Trans. AC, Vol. 33, No. 6, pp.770–784, 1992.
Y. Wang and D. J. Hill. “Robust Nonlinear Coordinated Control of Power Systems”, Automatica, Vol. 32, No. 9, pp.611–618, 1996
Y. Wang, D. J. Hill and G. Guo, “Robust Decentralized Control for Multimachine Power Systems”, IEEE Trans. Circuits and Systems, Vol. 45, No. 3, pp. 271–279, 1998.
Y. Wang, G. Guo and D. Hill, “Robust Decentralized Nonlinear Controller Design for Multimachine Power Systems”, Automatica, Vol. 33, No. 9, pp. 1725–1733, 1997.
Y. Wang, L. Xie and C. E. De Souza, “Robust Control of a Class of Uncertain Nonlinear Systems”, Systems & Control Letters, Vol. 19, 139–149, 1992a.
Y. Wang, L. Xie, D. J. Hill and R. H. Middleton, “Robust Nonlinear Controller Design for Transient Stability Enhancement of Power Systems”, Proc. 31st IEEE Conf. On Decision and Control, Tuson, Arizona, pp.1117–1122, 1992.
Z. Qu, “Robust Control of a Class of Nonlinear Uncertain System”, IEEE. Trans. AC, Vol. 37, pp. 1437–1442, 1992.
Z. Qu, J. F. Dorsey, J. Bond, and J. McCalley, “Robust Transient Control of Power Systems”, IEEE Trans. Circuits and Systems, Vol. 39, pp.470–476, 1992.
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Lu, Q., Sun, Y., Mei, S. (2001). Nonlinear Robust Control of Power Systems. In: Nonlinear Control Systems and Power System Dynamics. The Springer International Series on Asian Studies in Computer and Information Science, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3312-9_10
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