Spatial observer-based repetitive controller: An active disturbance rejection approach

A systematic approach for robust repetitive controller design

“…In the digital implementation of repetitive controllers (Rech et al, 2003), it is usual to consider zero-phase filters to avoid a deviation in the peak frequency. However this is not feasible in the continuous-time counterpart since zero-phase filters are non causal.…”

“…The most severe hardware constraint to be taken into account lies in the storage of γ + 1 past values of y rc . For further details, the reader may follow the discussion given in Rech et al (2003) regarding the digital implementation of repetitive controllers.…”

“…Digital implementations of repetitive controllers in the UPS context were developed in Buso andMattavelli (2006), Rech, Pinheiro, Grundling, Hey, andPinheiro (2003), and Lu, Zhou, Wang, and Cheng (2014). In Rech et al (2003), a comparison between different algorithms to implement the repetitive controller is presented, while a novel repetitive structure optimizing data memory is presented in Lu et al (2014). This paper proposes a linear matrix inequality (LMI) based strategy to the synthesis of repetitive controllers for systems subject to periodic references/disturbances and parameter variations.…”

“…A new structure combining repetitive and resonant controllers is proposed in Salton, Flores, Pereira, and Coutinho (2013) in order to reduce THD and improve the transient response of UPS systems. Digital implementations of repetitive controllers in the UPS context were developed in Buso andMattavelli (2006), Rech, Pinheiro, Grundling, Hey, andPinheiro (2003), and Lu, Zhou, Wang, and Cheng (2014). In Rech et al (2003), a comparison between different algorithms to implement the repetitive controller is presented, while a novel repetitive structure optimizing data memory is presented in Lu et al (2014).…”

“…Reference tracking and disturbance rejection are two requirements that control engineers usually have to deal in many practical applications such as DC motors (Ramos, Cortes-Romero, & Coral-Enriquez, 2015;Wu, Xu, Cao, & She, 2014), anti-vibration systems (Yao, Tsai, & Yamamoto, 2013) and power inverters (del Puerto-Flores et al, 2014;Lopez Arevalo, Zanchetta, Wheeler, Trentin, & Empringham, 2010;Rohouma, Zanchetta, Wheeler, & Empringham, 2015), to cite a few. In particular, these references address the tracking and disturbance rejection problem of periodic signals, where traditional controllers such as Proportional-Integral-Derivative (PID) and Lead-Lag compensators cannot robustly guarantee tracking/rejection performance (Chen, 1970).…”