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This study proposes a new geometric maximum power point tracking (MPPT) method for photovoltaic (PV) power system. The reference point can be calculated and updated in real time directly with the proposed method. The reference point will converge to the real maximum power point (MPP) when approaching MPP. This can improve the MPPT speed comparing with the commonly used step‐by‐step optimisation. The MPPT method is applied to a DC bus coupled grid‐connected PV system with the presence of DC loads, and an adaptive sliding mode controller is designed for the whole system. The proposed control scheme performs the MPPT and the power allocation between the PV array and the grid adaptively. With adaptive method, the converter can control the power flow bi‐directionally to balance the power supply and consumption under a unity power factor. Simulation and experimental results are reported to confirm the proposed approach. [ABSTRACT FROM AUTHOR]

The sliding motion of sliding mode control system is studied in this paper. Using the measure concept, two new quantities about the sliding motion are introduced, and a new relationship about the sliding motion is derived with the new quantities. According to this relationship, an adaptive law of the magnitude of the controller's switching part is proposed, which can minimize the chattering phenomenon according to the predefined robust margin. To verify the effectiveness of the proposed control scheme, it is applied to Rössler system with uncertain disturbances. Simulation results show that the proposed control method can stabilize Rössler system with the magnitude of the controller's switching part adjusted adaptively with the disturbances. [ABSTRACT FROM AUTHOR]

Abstract: This Letter presents an adaptive neural network control method for the chaos control problem. Based on a single layer neural network, the dynamic about the unstable fixed period point of the chaotic system can be adaptively identified without detailed information about the chaotic system. And the controlled chaotic system can be stabilized on the unstable fixed period orbit. Simulation results of Henon map and Lorenz system verify the effectiveness of the proposed control method. [Copyright &y& Elsevier]