A new approach to the sliding-mode control of single-phase uninterruptible-power-supply inverters is introduced in continuous time. A three-level hysteresis sliding function is used to directly control the inverter switches, with the result that a transistor is switched during a half-cycle while it remains either on or off during the other cycle. An expression is derived for the predicted switching frequency. The performance of the proposed control method has been tested through computer simulations and experiments under different loads (a resistive load and a diode bridge rectifier load). Simulation and experimental results verify the correct operation of the proposed control strategy. In addition, the switching frequency prediction is seen to be quite accurate.

This paper proposes a new control strategy for single-phase shunt active power filters (APFs) based on Lyapunov's stability theory. The idea in this strategy is to form an energy-like Lyapunov function in terms of the active filter states and then determine the control law that makes the time derivative of the Lyapunov function always negative for all values of the states. It is shown that a globally stable control is possible at the expense of a time-varying reference function for the direct current (dc) capacitor voltage. This method, however, requires the estimation or measurement of the harmonic ripple component on the dc capacitor voltage. Therefore, a modified control is proposed by ignoring this ripple component. The active filter's current reference is obtained by subtracting the measured load current from the generated supply current reference. The amplitude of the supply current reference can be adjusted by using a proportional-integral (PI) controller that regulates the dc capacitor voltage. Experimental results that are obtained for steady-state operation and step changes in the load are presented to verify the correct operation of the proposed control strategy.

This paper proposes an effective sliding mode controller (SMC) for a grid-connected 7-level Packed U-cell (PUC7) inverter. The aim is to design a simple controller that deals effectively with the complex control problem of the PUC7 inverter (multi-objective control problem). The selection of the control actions is achieved according to the system state error at every sampling time regardless of the previous values, which makes the control technique model- independent. The control algorithm evaluates online two cost functions (one for each state error) which are derived based on sliding mode (SM) theory, and selects the optimal control input in order to satisfy the reaching conditions of the two cost functions. Compared to the existing solutions, the proposed SMC technique ensures lower average switching frequency by tuning the hysteresis bandwidth of the capacitor voltage error. The fast implementation, needless of gains tuning, and simple design procedure are the main features of the proposed algorithm. Simulation and experimental results are presented to prove the effectiveness of the proposed technique in controlling the PUC7 inverter with high dynamic performance and robustness against disturbances and parameters mismatch.

In this paper, a new Lyapunov-based model predictive controller is proposed for a 7-level packed U-cell (PUC7) grid-connected inverter. A cost function of the proposed model predictive controller is designed from the system stability point of view, inspired by the Lyapunov control theory. The proposed controller eliminates the need for gains that are associated with cost function coefficients, as seen in classical model predictive control based controllers. Therefore, the control design problem is significantly simplified. In addition, the average switching frequency is also reduced, as shown in both simulation and experimental results, leading to a reduction in switching losses. Simulation and experimental tests, on a PUC7 lab prototype, demonstrate the excellent performance of the proposed control system, in terms of high disturbance rejection, robustness to parameter mismatches, and fast dynamic response. Such features qualify the proposed control strategy as a good candidate for grid-tied applications.