Sensitivity Analysis of Exact Tracking Error Dynamics Passive Output Control for a Flat/Partially Flat Converter Systems

Abstract

In this paper, identification of sensitive variables is attempted for second-order (flat/partially flat) and fourth-order partially flat converters with dynamic loads. The sensitivity nature of each state variable to the output speed variable of the DC motor for the above-mentioned systems was analyzed via the frequency domain technique. Further, in continuation of this, we aimed to confirm that the variables that are used in the control law exact tracking error dynamics, passive output feedback control (ETEDPOF) are sensitive. To verify the sensitivity property, an experimental case study was done using ETEDPOF and compared with the proportional-integral controller (PIC) for a flat system, and the results are presented.

Sensorless Tracking Control for a “Full-Bridge Buck Inverter–DC Motor” System: Passivity and Flatness-Based Design

“…Having defined the experimental closed-loop tracking errors in (29) and the experimental open-loop tracking errors in (30); the plots of the tracking errors for ω and υ, associated with the desired angular velocity profiles ω * (25)-( 28 ). Such a behavior is due to the desired trajectories (25) and (28) have less sign changes compared to the desired trajectories (26) and (27), respectively.…”

“…This control strategy was studied initially by Sira-Ramírez (see the seminal work of Sira-Ramírez [60] for the underlying theoretical considerations and see [61] for the potential of this technique in applications). Among the numerous applications in automatic control that have been developed regarding the ETEDPOF technique, one can find those associated with traditional power electronics [61], DC motors driven by DC/DC power converters [14], [26], [32], [37], [43], [48], [51], [52], single phase active rectifiers [62], three-phase Boost rectifiers [63], airships [64], mobile robotics [65], renewable energy systems [66], separately excited DC motors [67], induction motor powered by photovoltaic panels [68], transformerless multilevel active monophase rectifiers [69], permanent magnet synchronous motors [70], and magnetorheological automotive suspensions [71]. Thus, inspired by the control applications based on the ET-EDPOF methodology, in this paper a sensorless passivitybased control that considers the ETEDPOF strategy and flatness is proposed for the new "full-bridge Buck inverter-DC motor" system.…”

“…Whereas Rauf et al in [25] elaborated a continuous dynamic sliding mode control with high order mismatched disturbance compensation. Additionally, Srinivasan et al in [26] introduced a sensitivity analysis for the ETEDPOF methodology applied to the DC/DC Buck converter-DC motor system. Lastly, the important problem of active disturbance rejection control was also tackled by Stanković et al in [27] and Madonski et al in [28] for harmonic disturbances and multiple uncertainties, where resonant extended observers were utilized.…”

“…Tracking errors in υ, for the desired trajectory ω * (25). Tracking errors in ω, when the desired profile is given by(26).…”

Robust Flatness Tracking Control for the “DC/DC Buck Converter‐DC Motor” System: Renewable Energy‐Based Power Supply

“…Additionally, Guerrero et al in [30] developed an active disturbance rejection control based on GPI observer for a DC motor driven by a parallel DC/DC Buck converter. Lastly, other important contributions, recently published, related to the connection of the DC/DC Buck power converter and DC motor have been reported in [31][32][33][34][35].…”