TY - JOUR
T1 - Design of nonlinear backstepping double-integral sliding mode controllers to stabilize the dc-bus voltage for dc–dc converters feeding cpls
AU - Ghosh, Subarto Kumar
AU - Roy, Tushar Kanti
AU - Pramanik, Md Abu Hanif
AU - Mahmud, Md Apel
PY - 2021/10/17
Y1 - 2021/10/17
N2 - This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC.
AB - This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC.
KW - Backstepping double-integral sliding mode control scheme
KW - Constant power load
KW - Exact feedback linearization approach
KW - Lyapunov stability theory
KW - Negative-resistance characteristics
KW - Non-minimum phase
KW - Nonlinear dynamical model
UR - http://www.scopus.com/inward/record.url?scp=85117279114&partnerID=8YFLogxK
U2 - 10.3390/en14206753
DO - 10.3390/en14206753
M3 - Article
AN - SCOPUS:85117279114
VL - 14
JO - Energies
JF - Energies
SN - 1996-1073
IS - 20
M1 - 6753
ER -