In this paper, we propose a hybrid-state feedback control strategy for a DC-DC interleaved synchronous buck converter within the framework of hybrid dynamical systems theory. The control objectives—fast convergence and high efficiency—are formulated as a stabilization problem of an optimal limit cycle. To tackle this, we develop a hybrid automaton-based approach comprising two key components: i) a transient-state controller that guarantees finite-time balancing of the load current between converter phases, and ii) a steady-state controller that ensures local asymptotic stability of the desired limit cycle. The proposed method is demonstrated on a two-phase interleaved buck converter, although the design is readily extendable to n-phase converters and adaptable to other power converter architectures. Simulation results validate the theoretical developments and illustrate the robustness of the hybrid controller under load disturbances, input voltage variations, and parameter uncertainties.

This paper addresses the limit cycle stabilization problem of multilevel Flying Capacitors Inverters (FCI). Firstly, the hybrid modeling and analysis of the converter dynamics are discussed for control design purposes. Then, hybrid automaton-based controller is investigated to address the fast-transient and high-efficiency compromise. The latter is translated as an optimal limit cycle stabilization problem. Finite-time stability of the desired limit cycle under the proposed hybrid controller is proved analytically. The presented simulation results confirm the theoretical claims and show the robustness of the controlled converter despite load disturbances and fast input variations.

This paper proposes an effective control approach based on fractional order sliding mode control (FOSMC) for autonomous distributed generation systems (ADGS). The design of the controller is based on the mathematical model of the system formulated in the abc reference frame and by including a static equation to reduce the number of control variables for the system to become square and optimize the control signals. Stability and robustness analyses are performed using Lyapunov's theory to demonstrate the robustness of the proposed controller against model uncertainties, while ensuring low total harmonic distortion (THD) even in the presence of non- linear loads. The presented simulation results obtained using MATLAB/Simulink software confirm the high performance and superiority of the proposed controller against other conventional controllers in regulating the output voltage of the ADGS for different types of load (balanced, non-linear).

This paper presents a novel state feedback controller design for a 5-level Packed U-cell (PUC5) inverter based on its average model. The state feedback is designed using a super-twisting sliding mode control (ST-SMC) and a PWM technique. The proposed super-twisting controller (STC) is used to regulate the capacitor voltage at the desired value in order to generate a 5-level output voltage waveform while feeding a smooth current to the load with low harmonics. A simulation and experimental comparative study between the proposed control technique and the conventional SMC and proportional-integral (PI) control techniques is presented. The presented results prove the higher performance of the proposed controller in terms of dynamic performances and power quality.

Compared to other multilevel inverter (MLI) topologies, the Packed U -Cells (PUC) inverter is capable of generating more levels with less components. Thus, this paper investigates the operation of a 5-level PUC (PUC5) inverter supplying an RL load in both open-loop and closed-loop operations based on its averaged dynamical model. The aim is to prove that the self-balancing, a natural feature of the converter, could be obtained by the selection of a regular phase-shift between two carrier signals when applying a Pulse Width Modulation (PWM) technique. Moreover, a nonlinear feedback scheme is proposed to ensure fast balancing of the capacitor voltage and good tracking of the output voltage reference. Simulations results are presented to show the performance of the proposed techniques in ensuring self-balancing of the capacitor voltage and high tracking quality of the desired values.

This paper deals with a hybrid control scheme for two-phase interleaved boost converter devoted to renewable energy and automotive applications. The control requirements, resumed in low input current ripples, are formulated as an optimal limit cycle stabilization problem, and are solved using hybrid systems formalism. The closed-loop consists in associating each discrete mode to a clearly defined region of the state space, in such a way that the optimal limit cycle is stabilized asymptotically. Mathematical proofs are provided alongside simulations to illustrate the effectiveness and the robustness of the proposed controller, especially with the use of a fuel cell as an input source.

In this paper we illustrate how to use the advantage of the differential flatness and the high order sliding mode control to deal with the problem of the trajectory planning and robust tracking of a car like robot.