The single electron is placed in linearly inhomogeneous plasma channel (the first row) and parabolic inhomogeneous plasma channel (the second row) respectively. It is irradiated by four types of chirped laser pulse (linearly chirped laser pulse in (a) and (e), Gaussian chirped laser pulse in (b) and (f), exponential chirped laser pulse in (c) and (g) and sinusoidal chirped laser pulse in (d) and (h)). The intensity of the laser pulse a₀ = 6, the plasma density at the axis of the channel is ω_p0 = 0.05, the density distribution for linearly inhomogeneous and parabolic inhomogeneous case are n(r) = 1 + br and n(r) = 1 + br² (the r is radial direction). The maximum energy of electron is normalized by the maximum energy of electron in vacuum γvac=1+a02/2 .