Saturated switching control method for three-phase parallel active power filter

The invention relates to a saturated switching control method for a three-phase parallel active power filter. The method comprises the following steps of: 1) establishing a switching system model according to each operation mode of the three-phase parallel active power filter; 2) constructing a common Lyapunov function to obtain state-feedback-based switching rules, wherein arg represents a subscript meeting an expression; 3) introducing an additional matrix G in case of saturated nonlinear constraints of the three-phase parallel active power filter, linearizing the saturated nonlinear constraints by using a convex domain method, and designing saturated switching rules capable of progressively stabilizing a saturated system by utilizing a Lyapunov function stability theory; and 4) compensating the harmonic current of a power grid by using the three-phase parallel active power filter under the action of the saturated switching rules.