Robust bumpless transfer design using adaptive sliding mode approach. (English) Zbl 1280.93020
Summary: This study proposes a robust bumpless transfer scheme for controller switched systems with parametric uncertainty and external disturbances. It is based on an additional compensator which is activated at and before the switching time, for reducing the control discontinuities. The designed bumpless transfer compensator is given based on model reference and adaptive sliding mode control. Conditions to guarantee the stability of a model matching closed-loop system are provided using a Lyapunov function. Numerical simulations demonstrate the effectiveness of the proposed method.
MSC:
| 93B12 | Variable structure systems |
| 93C40 | Adaptive control/observation systems |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93D30 | Lyapunov and storage functions |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
Keywords:
controller switched systems; bumpless transfer; model matching; adaptive control; sliding mode controlReferences:
| [1] | Liberzon, D., Switching in Systems and Control, Birkhäuser, Boston (2003). · Zbl 1036.93001 |
| [2] | Zaccarian, L. and A. R.Teel, “A common framework for anti‐windup, bumpless transfer and reliable designs,” Automatica, Vol. 38, No. 10, pp. 1735-1744 (2002). · Zbl 1011.93041 |
| [3] | Bendtsen, J. D., J.Stoustrup, and K.Trangbaek, “Bumpless transfer between observer‐based gain scheduled controllers,” Int. J. Control, Vol. 78, No. 7, pp. 491-504 (2005). · Zbl 1088.93007 |
| [4] | Zheng, K., A. H.Lee, and J.Bentsmanet al., “High performance robust linear controller synthesis for an induction motor using a multi‐objective hybrid control strategy,” Nonlinear Anal., Vol. 65, No. 11, pp. 2061-2081 (2006). · Zbl 1106.93024 |
| [5] | Stoustrup, J. and M.Komareji, “A parameterization of observer‐based controllers: Bumpless transfer by covariance interpolation,” Proc. Am. Control Conf., pp. 1871-1875 (2009). |
| [6] | Hanus, R., M.Kinnaert, and J. L.Henrotte, “Conditioning technique, a general anti‐windup and bumpless transfer method,” Automatica, Vol. 23, No. 6, pp. 729-739 (1987). · Zbl 0638.93036 |
| [7] | Edwards, C. and I.Postlethwaite, “Anti‐windup and bumpless‐transfer schemes,” Automatica, Vol. 34, No. 2, pp. 199-210 (1998). |
| [8] | Turner, M. C. and D. J.Walker, “Linear quadratic bumpless transfer,” Automatica, Vol. 36, No. 8, pp. 1089-1101 (2000). · Zbl 0960.93013 |
| [9] | Zheng, K. and J.Bentsman, “Decentralized compensation of controller uncertainty in the steady‐state bumpless transfer under the state/output feedback,” Int. J. Robust Nonlinear Control, Vol. 19, No. 10, pp. 1083-1104 (2009). · Zbl 1166.93340 |
| [10] | Bao, W., Y. W.Qi, D. R.Yuet al., “Bumpless switching scheme design and its application to hypersonic vehicle model,” Int. J. Innovative Comput. Inf. Control, Vol. 8, No. 1B, pp. 677-689 (2012). |
| [11] | Kowalski, K. K., J.Achterberg, C. M. M.Van Lieropet al., “Implementation of a linear quadratic bumpless transfer method to a magnetically levitated planar actuator with moving magnets,” Proc. IEEE Int. Conf. Control Appl., pp. 2203-2208 (2010). |
| [12] | Smirnov, A., K.Tolsa, and R. P.Jastrzebski, “Implementation of a bumpless switch in axial magnetic bearings,” Proc. Int. Symp. Ind. Embedded Syst., pp. 63-68 (2010). |
| [13] | Zaccarian, L. and A. R.Teel, “The L_2 bumpless transfer problem for linear plants: Its definition and solution,” Automatica, Vol. 41, No. 7, pp. 1718-1723 (2005). |
| [14] | Bao, W., B.Li, J. T.Changet al., “Switching control of thrust regulation and inlet buzz protection for ducted rocket,” Acta Astronaut., Vol. 67, No. 7‐8, pp. 764-773 (2010). |
| [15] | Arehart, A. B. and W. A.Wolovich, “Bumpless switching controllers,” Proc. 35th IEEE Conf. Decis. Control, Vol. 2, pp. 1654-1655 (1996). |
| [16] | Kwan, C. M., “Sliding mode control of linear systems with mismatched uncertainties,” Automatica, Vol. 31, No. 2, pp. 303-307 (1995). · Zbl 0821.93021 |
| [17] | Sam, Y. M., J. H. S.Osman, and M. R. A.Ghani, “A class of proportional‐integral sliding mode control with application to active suspension system,” Syst. Control Lett., Vol. 51, No. 3‐4, pp. 217-223 (2004). · Zbl 1157.93339 |
| [18] | Hu, Q. L., G. F.Ma, and L. H.Xie, “Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity,” Automatica, Vol. 44, No. 2, pp. 552-559 (2008). · Zbl 1283.93063 |
| [19] | Chang, Y. T., “Adaptive sliding mode control of multi‐input nonlinear systems with perturbations to achieve asymptotical stability,” IEEE Trans. Autom. Control, Vol. 54, No. 12, pp. 2863-2869 (2009). · Zbl 1367.93581 |
| [20] | Barambones, O. and P.Alkorta, “Vector control for induction motor drives based on adaptive variable structure control algorithm,” Asian J. Control, Vol. 12, No. 5, pp. 640-649 (2010). |
| [21] | Plestan, F., Y.Shtessel, V.Bregeaultet al., “New methodologies for adaptive sliding mode control,” Int. J. Control, Vol. 83, No. 9, pp. 1907-1919 (2010). · Zbl 1213.93031 |
| [22] | Fei, J. T., X. N.Fan, W. L.Daitet al., “Robust tracking control of triaxial angular velocity sensors using adaptive sliding mode approach,” Int. J. Adv. Manuf. Technol., Vol. 52, No. 5‐8, pp. 627-636 (2011). |
| [23] | Pai, M. C., “Adaptive sliding mode observer‐based synchronization for uncertain chaotic systems,” Asian J. Control, Vol. 14, No. 3, pp. 736-743 (2012). · Zbl 1303.93055 |
| [24] | Wu, L. G. and J.Lam, “Sliding mode control of switched hybrid systems with time‐varying delay,” Int. J. Adapt Control Signal Process., Vol. 22, No. 10, pp. 909-931 (2008). · Zbl 1241.93016 |
| [25] | Lian, J. and J.Zhao, “Output feedback variable structure control for a class of uncertain switched systems,” Asian J. Control, Vol. 11, No. 1, pp. 31-39 (2009). |
| [26] | Davila, J., H.Roís, and L.Fridman, “State observation for nonlinear switched systems using nonhomogeneous high‐order sliding mode observers,” Asian J. Control, Vol. 14, No. 4, pp. 911-923 (2012). · Zbl 1286.93035 |
| [27] | Bao, W., Y. W.Qi, and J. T.Chang, “Multi‐objective regulating and protecting control for ducted rocket using a bumpless transfer scheme” Proc. IMechE J. Aerosp. Eng., DOI: 10.1177/0954410011433237 (2012). |
| [28] | Popov, V. M., Hyperstability of Control System, Springer‐Verlag, Berlin (1973). · Zbl 0276.93033 |
| [29] | Turner, M. C., N.Aouf, and D. G.Bateset al., “Switched control of a vertical/short take‐off land aircraft: An application of linear quadratic bumpless transfer,” Proc. IMechE J. Syst. Control Eng., Vol. 220, No. 3, pp. 157-170 (2006). |
| [30] | Zheng, K., A. H.Lee, J.Bentsmanet al., “High performance robust linear controller synthesis for an induction motor using a multi‐objective hybrid control strategy,” Proc. 43rd IEEE Conf. Decis. Control, Vol. 4, pp. 4417-4422 (2004). |
| [31] | Kim, T. S., J. H.Yang, Y. S.Leeet al., “Twin rotors system modeling and bumpless transfer implementation algorithm for LQ control,” Proc. SICE‐ICASE Int. Joint Conf., pp. 114-119 (2006). |
| [32] | Zheng, K., J.Bentsman, and C. W.Taft, “Full operating range robust hybrid control of a coal‐fired boiler/turbine unit,” ASME J. Dyn. Syst. Meas. Contr., Vol. 130, No. 4, pp. 041011‐1-041011‐14 (2008). |
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