Page 215 - Adaptive Identification and Control of Uncertain Systems with Nonsmooth Dynamics
P. 215
214 Adaptive Identification and Control of Uncertain Systems with Non-smooth Dynamics
A hyperbolic tangent function is adopted to approximate the saturation,
and an ESO is designed to compensate for the lumped uncertainties in-
cluding the saturation approximation error and friction. The observer gains
are determined by using the pole placement technique. Moreover, an adap-
tive sliding mode controller is developed to ensure that the system output
tracks a desired signal. The effectiveness and superior performance of the
proposed control method are verified by simulations.
REFERENCES
[1] Y.-M. Fang, Y.-Z. Xu, J.-X. Li, Adaptive dynamic surface control for electro-hydraulic
servo position system with input saturation, Control Theory & Applications 31 (4)
(2014) 511–518.
[2] Sheng Liu, Li Ming Zhou, Static anti-windup control design for a class of saturated
uncertain nonlinear systems, Control and Decision 24 (5) (2009) 764–768.
[3] G. Herrmann, P.P. Menon, M.C. Turner, D.G. Bates, I. Postlethwaite, Anti-windup
synthesis for nonlinear dynamic inversion control schemes, International Journal of
Robust & Nonlinear Control 20 (13) (2010) 1465–1482.
[4] Wei Quan Zou, Xi Fan Yao, A new variable structure controller, in: Modular Machine
Tool and Automatic Manufacturing Technique, 2006.
[5] Q.L. Cao, S.R. Li, D.Y. Zhao, Q. Cao, S. Lu, Full-order sliding mode control of robotic
manipulators including actuator dynamics, Journal of Systems Science and Mathemat-
ical Sciences 35 (7) (2015) 848–859.
[6] Rong Rong Qian, Min Zhou Luo, Jiang Hai Zhao, Y.E. Xiao-Dong, Novel adaptive
sliding mode control for permanent magnet synchronous motor, Control Theory and
Applications 30 (11) (2013) 1414–1421.
[7] J.Q. Han, Active Disturbance Rejection Control Technique – The Technique for Es-
timating and Compensating the Uncertainties, National Defense Industry Press, 2008.
[8] Sanjay E. Talole, Jayawant P. Kolhe, Srivijay B. Phadke, Extended-state-observer-based
control of flexible-joint system with experimental validation, IEEE Transactions on
Industrial Electronics 57 (4) (2010) 1411–1419.
[9] H.Q. Wang, H. Huang, Property and applications of extended state observer, Control
and Decision 28 (7) (2013) 1078–1082.
[10] Xiaoxia Yang, Yi Huang, Capabilities of extended state observer for estimating uncer-
tainties, in: Conference on American Control Conference, 2009, pp. 3700–3705.
[11] Qiang Chen, Xiao Qing Tang, Nonsingular terminal sliding-mode funnel control for
prescribed performance of motor servo systems with unknown input saturation, Con-
trol Theory and Applications 32 (8) (2015) 1064–1071.
[12] Z. Kang, X. Chen, A design method of nonlinear extension state observer, Electric
Machines and Control 5 (3) (2001) 199–203.
[13] Haitao Liu, Tie Zhang, Neural network-based robust finite-time control for robotic
manipulators considering actuator dynamics, Robotics and Computer-Integrated
Manufacturing 29 (2) (2013) 301–308.
[14] Qiang Chen, Peng Luo, Adaptive sliding-mode control of electromechanical servo sys-
tem with saturation compensation based on extended state observer, Journal of Systems
Science & Mathematical Sciences 36 (10) (2016) 1535–1547.