State Feedback Repetitive Control for Single-Phase Inverters

In order to improve stability of output voltage of single-phase inverter, state feedback control strategy combined with repetitive control is proposed. Firstly, state space model of the inverter is established. Secondly, state feedback controller is designed and the feedback coefficients are obtained by poles assignment according to the established model. Finally, repetitive control based on internal model principle is plugged in the state feedback controller to eliminate the steady state error. To enlarge the stability margin, the phase lead compensation method is employed to compensate the phase-lag caused by sampling and calculation. Simulation and experimental results demonstrated that the proposed control strategy can achieve faster transient response and zero steady-state tracking error.

[1]  Danwei Wang,et al.  Performance improvement of repetitive controlled PWM inverters: A phase-lead compensation solution , 2010 .

[2]  Danwei Wang,et al.  High-performance cascade-type repetitive controller for CVCF PWM inverter: analysis and design , 2007 .

[3]  Yongqiang Ye,et al.  Optimized Switching Repetitive Control of CVCF PWM Inverters , 2018, IEEE Transactions on Power Electronics.

[4]  Bin Zhang,et al.  High-Performance Repetitive Control of PWM DC-AC Converters With Real-Time Phase-Lead FIR Filter , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Lei Wu,et al.  Parallel structure general repetitive controller for general grid-connected PWM converters , 2017 .

[6]  Yongqiang Ye,et al.  Fractional Phase Lead Compensation RC for an Inverter: Analysis, Design, and Verification , 2017, IEEE Transactions on Industrial Electronics.

[7]  Bin Zhang,et al.  Plug-In Dual-Mode-Structure Repetitive Controller for CVCF PWM Inverters , 2009, IEEE Trans. Ind. Electron..

[8]  F. Blaabjerg,et al.  Enhancing the Frequency Adaptability of Periodic Current Controllers With a Fixed Sampling Rate for Grid-Connected Power Converters , 2016, IEEE Transactions on Power Electronics.

[9]  Yang Hua.  A Linear Quadratic Regulator Based Control Strategy With Integral Control and State Feedback for Three-Phase Inverter , 2013 .

[10]  Bin Zhang,et al.  Linear Phase Lead Compensation Repetitive Control of a CVCF PWM Inverter , 2008, IEEE Transactions on Industrial Electronics.

[11]  AJESH,et al.  Frequency-Adaptive Fractional-Order Repetitive Control of Shunt Active Power Filters , 2016 .

[12]  Bin Zhang,et al.  Performance improvement of repetitive controlled PWM inverters: A phase‐lead compensation solution , 2010, Int. J. Circuit Theory Appl..

[13]  Yang Fu-wen.  The Robust State Feedback Control Strategy for Single-phase Photovoltaic Grid-connected Inverter System , 2013 .

[14]  Frede Blaabjerg,et al.  Periodic Control of Power Electronic Converters , 2016 .

[15]  Danwei W. Wang,et al.  A General Parallel Structure Repetitive Control Scheme for Multiphase DC–AC PWM Converters , 2013, IEEE Transactions on Power Electronics.