Backstepping control method for nanoelectromechanical systems with output constraints and dead-zone inputs
A nano-electromechanical system, output constraint technology, applied in the direction of program control, adaptive control, general control system, etc., can solve the problems of chaotic control of nano-electromechanical system
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[0177] Embodiment: In order to effectively suppress the chaotic oscillation of the nano-electromechanical system, first analyze its chaotic behavior in a dimensionless form; the nano-electromechanical system parameter value is V AC ∈(0,0.47), α=1, β=12, γ=0.338, μ=0.01, V b =3.8 and ω=0.5; in the initial condition (x 1 ,x 2 )=(0,0) and fixed bias voltage, the phase diagram and time history of the system are as follows Figure 8 shown; from Figure 8 (a) It can be seen that instantaneous chaos and regular motion appear near the center point near the origin; from Figure 8 (b) It can be seen that at V AC =0.045, beam oscillation appears near other central points; from Figure 8 (c) It can be seen that the regular motion produces homoclinic orbits after the transient chaotic response, and the amplitude of harmonic oscillation is obviously larger than Figure 8 (a)-(b); At this time, due to the influence of two unstable points near the fixed electrodes, the dynamic behavior ...
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