CONTINUOUS FEEDBACK APPROACH FOR CONTROLLING CHAOS

Citation:
Chen, YH, Chou MY.  1994.  CONTINUOUS FEEDBACK APPROACH FOR CONTROLLING CHAOS, Sep. Physical Review E. 50:2331-2334., Number 3

Abstract:

We show that the continuous feedback approach is highly effective for controlling chaotic systems. The control design for the Lorenz system is presented as an example to demonstrate the strength of this approach. The proposed control is able to eliminate chaos and bring the system toward any of the three steady states. Two different control input locations are considered. Only one system variable is used in the feedback. The control scheme can tolerate both measurement noise and modeling uncertainty as long as they are bounded.

Notes:

ISI Document Delivery No.: PJ443Times Cited: 23Cited Reference Count: 21Cited References: VIDYASAGAR M, 1993, NONLINEAR SYSTEMS AN, P178 GILLS Z, 1992, PHYS REV LETT, V69, P3169, DOI 10.1103/PhysRevLett.69.3169 CHEN YH, 1992, PHYS REV LETT, V69, P3128, DOI 10.1103/PhysRevLett.69.3128 WANG YZ, 1992, J FLUID MECH, V237, P479, DOI 10.1017/S0022112092003501 ROY R, 1992, PHYS REV LETT, V68, P1259, DOI 10.1103/PhysRevLett.68.1259 SINGER J, 1991, PHYS FLUIDS A-FLUID, V3, P2859, DOI 10.1063/1.857831 JACKSON EA, 1991, PHYS REV A, V44, P4839, DOI 10.1103/PhysRevA.44.4839 HUNT ER, 1991, PHYS REV LETT, V67, P1953, DOI 10.1103/PhysRevLett.67.1953 SINGER J, 1991, PHYS REV LETT, V66, P1123, DOI 10.1103/PhysRevLett.66.1123 VINCENT TL, 1991, DYNAM CONTROL, V1, P35, DOI 10.1007/BF02169423 DITTO WL, 1990, PHYS REV LETT, V65, P3211, DOI 10.1103/PhysRevLett.65.3211 EHRHARD P, 1990, J FLUID MECH, V217, P487, DOI 10.1017/S0022112090000817 OTT E, 1990, PHYS REV LETT, V64, P1196, DOI 10.1103/PhysRevLett.64.1196 CORLESS MJ, 1981, IEEE T AUTOMAT CONTR, V26, P1139, DOI 10.1109/TAC.1981.1102785 KNOBLOCH E, 1981, PHYS LETT A, V82, P439, DOI 10.1016/0375-9601(81)90274-7 BRINDLEY J, 1980, PHYS LETT A, V77, P441, DOI 10.1016/0375-9601(80)90534-4 GIBBON JD, 1980, PHYS LETT A, V77, P295, DOI 10.1016/0375-9601(80)90700-8 PEDLOSKY J, 1980, J ATMOS SCI, V37, P1177, DOI 10.1175/1520-0469(1980)037<1177:CAPBOF>2.0.CO;2 HAKEN H, 1975, PHYS LETT A, VA 53, P77, DOI 10.1016/0375-9601(75)90353-9 HALE JK, 1969, ORDINARY DIFFERENTIA, P31 LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2CHEN, YH CHOU, MYAMERICAN PHYSICAL SOCCOLLEGE PK

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