Robust Stabilization of Inverted Pendulum Using ALQR Augmented by Second-Order Sliding Mode Control

被引：3

作者：

Guaracy F.H.D. ^{[1
]}

Pereira R.L. ^{[1
]}

de Paula C.F. ^{[2
]}

机构：

[1] UNIFEI, Federal University of Itajubá, Campus Itabira, Rua Irmã Ivone Drumond, 200, Distrito Industrial II, Itabira, 35903-087, MG

[2] UNIFEI, Federal University of Itajubá, Institute of Systems Engineering and Information Technology, Av. BPS, 1303, Pinheirinho, Itajubá, 37500-903, MG

来源：

Journal of Control, Automation and Electrical Systems | 2017年 / 28卷 / 05期

关键词：

Amplified linear quadratic regulator; Inverted pendulum; LMI; Sliding mode control; Super-twisting algorithm;

D O I：

10.1007/s40313-017-0332-0

中图分类号：

学科分类号：

摘要：

In this paper, a robust nonlinear control design strategy to solve the stabilization problem of an inverted pendulum system subject to parametric uncertainties and unmodeled dynamics is proposed. The control strategy is based on the combination of Amplified Linear Quadratic Regulator (ALQR) control with a high-order sliding mode algorithm. Differently from the standard ALQR controller, parametric uncertainties are considered in the design process. Linear matrix inequality conditions are provided to deal with the computational issues arising with the inclusion of this feature. A sliding mode term is added to the ALQR control law to mitigate the effect of unmodeled dynamics, such as dry friction, neglected in the system model. In order to prevent the occurrence of chattering, a high-order sliding mode approach was used, namely the second-order super-twisting algorithm. The effectiveness of the proposed strategy is evaluated through a real experiment performed using the Quanser inverted pendulum plant. © 2017, Brazilian Society for Automatics--SBA.

引用

页码：577 / 584

页数：7

共 35 条

[21]

Oliveira C., Aguiar M., Monteiro J., Pereira W., Paula G.T., Almeida T., Vector control of induction motor using an integral sliding mode controller with anti-windup, Journal of Control, Automation and Electrical Systems, 27, 2, pp. 169-178, (2016)

[22]

Oucheriah S., Guo L., PWM-based adaptive sliding-mode control for boost dc–dc converters, IEEE Transactions on Industrial Electronics, 60, 8, pp. 3291-3294, (2013)

[23]

Pereira R.L., Afonso R.J.M., Kienitz K.H., Sliding mode control via ALQR for uncertain systems: An LMI approach, (2015)

[24]

Pilloni A., Pisano A., Usai E., Parameter tuning and chattering adjustment of super-twisting sliding mode control system for linear plants, Proceedings of the 12th international workshop on variable structure systems, pp. 479-484, (2012)

[25]

Prakash R., Target feedback loop/loop transfer recovery (TFL/LTR) robust control design procedures, Proceedings of the 29th conference on decision and control, pp. 1203-1209, (1990)

[26]

Linear inverted pendulum: User’s manual, Technical report, (2012)

[27]

Shyu K.K., Lai C.K., Incremental motion control of synchronous reluctance motor via multisegment sliding mode control method, IEEE Transactions on Control System Technology, 10, 2, pp. 169-176, (2002)

[28]

Slotine J.-J.E., Wi L., Applied nonlinear control, (1991)

[29]

Teixeira H., de Mattos Siqueira V., Munaro C.J., Closed-loop quantification and compensation of friction in an inverted pendulum, Journal of Control, Automation and Electrical Systems, 24, 6, pp. 794-805, (2013)

[30]

Trivedi P.K., Bandyopadhyay B., Mahata S., Chaudhuri S., Roll stabilization: A higher-order sliding-mode approach, IEEE Transactions on Aerospace and Electronic Systems, 51, 3, pp. 2489-2496, (2015)

← 1 2 3 4 →