Abstract
This paper proposes a new continuous sliding mode controller and observer for perturbed systems. The controller, which does not need any knowledge of bounds of any perturbation, is estimated using the uncertainty and disturbance estimation technique and implemented with observer states. The stability of the overall observer-controller combination is proved. The controller-observer combination is validated by implementing the scheme for an actual hardware set-up of serial flexible joint in laboratory.
References
Edwards C, Spurgeon S (1998) Sliding mode control: theory and applications. CRC Press, London
Utkin VI (1992) Sliding modes in control and optimization. Springer Verlag, New York
Drazenovic B (1969) The invariance conditions in variable structure systems. Automatica 5:287–297
Davila J (2013) Exact tracking using backstepping control design and high-order sliding modes. IEEE Trans Autom Control 58(8):2077–2081
Xu JX, Guo ZQ, Lee T (2014) Design and implementation of integral sliding-mode control on an underactuated two-wheeled mobile robot. IEEE Trans Ind Electron 61(7):3671–3681
Zhao L, Huang J, Liu H, Li B, Kong W (2014) Second-order sliding mode observer with online parameter identification for sensorless induction motor drives. doi:10.1109/TIE.2014.2301730
Slotine JJE, Coetsee JA (1986) Adaptive sliding controller synthesis for nonlinear systems. Int J Control 43(6):1631–1651
Yoo D, Chung MJ (1992) A variable structure control law with simple adaptation laws for upper bounds on the norm of uncertainties. IEEE Trans Autom Control 37:159–165
Krstic M, Kanellakopoulos I, Kokotovic PV (1995) Nonlinear and adaptive control design. Wiley-Interscience, Hoboken
Slotine JJE, Sastry SS (1983) Tracking control of nonlinear systems using sliding surfaces with application to robot manipulator. Int J Control 38:931–938
Yeung K, Chen Y (1988) A new controller design for manipulators using the theory of variable structure systems. IEEE Trans Autom Control 33(2):200–206
Slotine JJE, Hedrick JK, Misawa EA (1987) On sliding observers for nonlinear systems. ASME J Dyn Syst Meas Control 109:245–252
Jiang L, Wu QH (2002) Nonlinear adaptive control via sliding-mode state and perturbation observer. IEE Proc Control Theory Appl 149(4):269–277
Walcott B, Zak S (1987) State observation of nonlinear uncertain dynamical systems. IEEE Trans Autom Control 3(2):166–170
Koshkouei AJ, Burnham KJ (2009) Discontinuous observers for non-linear time-delay systems. Int J Syst Sci 40(4):383–392
Spurgeon SK (2008) Sliding mode observers: a survey. Int J Syst Sci 39(8):751–764
Yang H, Xia Y, Shi P (2010) Observer-based sliding mode control for a class of discrete systems via delta operator approach. J Frankl Inst 347:1199–1213
Bejarano F, Fridman L (2010) High order sliding mode observer for linear systems with unbounded unknown inputs. Int J Control 83(9):1920–1929
Ferreira A, Bejarano F, Fridman L (2011) Robust control with exact uncertainties compensation: with or without chattering? IEEE Trans Control Syst Technol 19(5):969–975
Lee H, Lee J (2013) Design of iterative sliding mode observer for sensorless pmsm control. IEEE Trans Control Syst Technol 21(4):1394–1399
Xu Z, Rahman M (2012) Comparison of a sliding observer and a kalman filter for direct-torque-controlled ipm synchronous motor drives. IEEE Trans Ind Electron 59(11):4179–4188
Youcef-Toumi K, Ito O (1990) A time delay controller for systems with unknown dynamics. ASME J Dyn Syst Meas Control 112(1):133–142
Youcef-Toumi K, Reddy S (1992) Analysis of linear time invariant systems with time delay. ASME J Dyn Syst Meas Control 114:544–554
Chang PH, Lee JW, Park SH (1997) Time delay observer: a robust observer for nonlinear plants. ASME J Dyn Syst Meas Control 119:521–527
Kwon SJ, Chung WK (2003) A combined synthesis of state estimator and perturbation observer. ASME J Dyn Syst Meas Control 125:19–26
Chang PH, Lee JW (1996) Model reference observer for time-delay control and its application to robot trajectory control. IEEE Trans Control Syst Technol 4(1):2–10
Bandyopadhyay B, Fulwani D (2009) High-performance tracking controller for discrete plant using nonlinear sliding surface. IEEE Trans Ind Electron 56(9):3628–3637
Zhong QC, Rees D (2004) Control of uncertain LTI systems based on an uncertainty and disturbance estimator. ASME J Dyn Syst Meas Control 126:905–910
Talole SE, Phadke SB (2008) Model following sliding mode control based on uncertainty and disturbance estimator. ASME J Dyn Syst Meas Control 130:1–5
Kuperman A, Zhong (2009) QC control of uncertain linear systems with state delay based on an uncertainty and disturbance estimator. In: Proceedings of sixth IFAC symposium on robust control design, Haifa, pp 279–283
Kuperman A, Zhong QC (2010) Robust control of uncertain nonlinear systems with state delays based on an uncertainty and disturbance estimator. Int J Robust Nonlinear Control 21(1):79–92
Patel A, Neelgund R, Wathore A, Kolhe JP, Kuber MM, Talole SE (2006) Robust control of flexible joint robot manipulator. In: Proceedings of IEEE ICIT, pp 649–653
Quanser (2009) 2 DOF serial flexible joint robot: user manual. Quanser Corp., Markham, Canada
Spong MW, Vidyasagar M (1989) Robot dynamics and control. Wiley, Hoboken
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ginoya, D., Shendge, P.D., Patre, B.M. et al. A new state and perturbation observer based sliding mode controller for uncertain systems. Int. J. Dynam. Control 4, 92–103 (2016). https://doi.org/10.1007/s40435-014-0121-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40435-014-0121-6