By Guanrong Chen, David John Hill, Xinghuo Yu
Bifurcation regulate refers back to the activity of designing a controller which may adjust the bifurcation homes of a given nonlinear method, that allows you to in achieving a few fascinating dynamical behaviors. There exists no comparable keep watch over theory-oriented e-book in the market that's dedicated to the topic of bifurcation keep an eye on, written through regulate engineers for keep an eye on engineers. World-renowned best specialists within the box offer their cutting-edge survey in regards to the large learn that has been performed over the past few years during this topic. The ebook isn't just aimed toward energetic researchers within the box of bifurcation keep watch over and its functions, but in addition at a common viewers in similar fields.
Read or Download Bifurcation Control: Theory and Applications PDF
Best system theory books
Linearization types for discrete and non-stop time dynamical platforms are the riding forces for contemporary geometric functionality thought and composition operator thought on functionality areas. This e-book specializes in a scientific survey and specified therapy of linearization versions for one-parameter semigroups, Schröder’s and Abel’s practical equations, and diverse periods of univalent capabilities which function intertwining mappings for nonlinear and linear semigroups.
Mathematical modelling is frequently spoken of as a life-style, touching on conduct of brain and to dependence at the strength of arithmetic to explain, clarify, expect and regulate genuine phenomena. This booklet goals to inspire lecturers to supply possibilities for college kids to version numerous actual phenomena competently matched to scholars’ mathematical backgrounds and pursuits from early phases of mathematical schooling.
This moment variation of Dissipative structures research and regulate has been considerably reorganized to deal with new fabric and improve its pedagogical positive factors. It examines linear and nonlinear platforms with examples of either in every one bankruptcy. additionally incorporated are a few infinite-dimensional and nonsmooth examples.
Additional resources for Bifurcation Control: Theory and Applications
Chen, R. , Varaiya, P. P. (1988) Degenerate Hopf bifurcation in power systems. IEEE Trans. Circ. , 35:818–824 11. Chiang, H. , Liu, C. , Varaiya, P. , Wu, F. , Lauby, M. G. (1993) Chaos in a simple power system. IEEE Trans. , 8:1407–1417 12. Chiang, H. , Conneen, T. , Flueck, A. J. (1994) Bifurcations and chaos in electric power systems: Numerical studies. J. Franklin Institute, 331B:1001– 1036 13. Chiang, H. D. (1999) Power system stability. Wiley Encyclopedia of Electrical and Electronics Engineering, ed.
1989) Voltage collapse proximity analysis using reactive area identification. In Proc. Bulk Power System Voltage Phenomena - Voltage Stability and Security, EPRI Report EL-6183, 7-41/7-58 20. , Chiang, H. D. (1989) Towards a theory of voltage collapse in electric power systems. Syst. Contr. , 13:253–262 21. , Lu, L. (1992) Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered. IEEE Trans. Circ. -I, 39:762–766 22. Dobson, I. (1992) Observations on the geometry of saddle node bifurcation and voltage collapse in electrical power system.
1997) Look-ahead voltage and load margin contingency selection functions for large-scale power systems. IEEE Trans. , 12:173–180 18. , Chiang, H. D. (1993) Persistence of saddle-node bifurcations for general nonlinear systems with slow unmodelled dynamics. J. , Sys. Sign. , 12:533–555 19. , Cory B. , Short, M. J. (1989) Voltage collapse proximity analysis using reactive area identification. In Proc. Bulk Power System Voltage Phenomena - Voltage Stability and Security, EPRI Report EL-6183, 7-41/7-58 20.