Prescribed performance fixed-time tracking control for a class of second-order nonlinear systems with disturbances and actuator saturation. (English) Zbl 1461.93087
A second order nonlinear control system is considered. The model contains disturbance and input saturation. A sliding surface is proposed, and, under suitable assumptions on the uncertainty, fixed time tracking and stability properties are obtained. An example is presented.
Reviewer: Tullio Zolezzi (Genova)
MSC:
| 93B12 | Variable structure systems |
| 93C10 | Nonlinear systems in control theory |
| 93D40 | Finite-time stability |
Keywords:
second-order nonlinear systems; prescribed performance; fixed-time control; bounded disturbances; actuator saturationReferences:
| [1] | Bechlioulis, C. P.; Doulgeri, Z.; Rovithakis, G. A., Neuro-adaptive force/position control with prescribed performance and guaranteed contact maintenance, IEEE Transactions on Neural Networks, 21, 12, 1857-1868 (2010) |
| [2] | Bechlioulis, C. P.; Doulgeri, Z.; Rovithakis, G. A., Guaranteeing prescribed performance and contact maintenance via an approximation free robot force/position controller, Automatica, 48, 2, 360-365 (2012) · Zbl 1364.93508 |
| [3] | Bechlioulis, C. P.; Rovithakis, G. A., Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance, IEEE Transactions on Automatic Control, 53, 9, 2090-2099 (2008) · Zbl 1367.93298 |
| [4] | Bechlioulis, C. P.; Rovithakis, G. A., Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems, Automatica, 45, 2, 532-538 (2009) · Zbl 1158.93325 |
| [5] | Bechlioulis, C. P.; Rovithakis, G. A., A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems, Automatica, 50, 4, 1217-1226 (2014) · Zbl 1298.93171 |
| [6] | Bu, X.; Wu, X.; Huang, J.; Wei, D., A guaranteed transient performance-based adaptive neural control scheme with low-complexity computation for flexible air-breathing hypersonic vehicles, Nonlinear Dynamics, 84, 4, 2175-2194 (2016) · Zbl 1355.93126 |
| [7] | Chen, M.; Wu, Q. X.; Jiang, C. S.; Jiang, B., Guaranteed transient performance based control with input saturation for near space vehicles, Science China Information Sciences, 57, 5, 1-12 (2014) · Zbl 1331.93045 |
| [8] | Farrell, J.; Sharma, M.; Polycarpou, M., Backstepping-based flight control with adaptive function approximation, Jounral of Guidance, Control and Dynamics, 28, 6, 1089-1102 (2005) |
| [9] | Han, S. I.; Lee, J. M., Improved prescribed performance constraint control for a strict feedback non-linear dynamic system, IET Control Theory & Applications, 7, 14, 1818-1827 (2013) |
| [10] | Han, S. I.; Lee, J. M., Fuzzy echo state neural networks and funnel dynamic surface control for prescribed performance of a nonlinear dynamic system, IEEE Transactions on Industrial Electronics, 61, 2, 1099-1112 (2013) |
| [11] | Hu, Q., Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis stabilized flexible spacecraft with actuator saturation limits, Nonliear Dynamics, 55, 301-321 (2009) · Zbl 1170.74338 |
| [12] | Jiang, B.; Hu, Q.; Friswell, M. I., Fixed-time rendezvous control of spacecraft with a tumbling target under loss of actuator effectiveness, IEEE Transactions on Aerospace and Electronic Systems, 52, 4, 1576-1586 (2016) |
| [13] | Jiang, B.; Hu, Q.; Friswell, M. I., Fixed-time attitude control for rigid spacecraft with actuator saturation and faults, IEEE Transactions on Control Systems Technology, 24, 5, 1892-1898 (2016) |
| [14] | Jiang, C.; Teo, K. L.; Xu, H.; Caccetta, L.; Duan, G. R., Adaptive Jacobian force/position tracking for space free-flying robots with prescribed transient performance, Robotics and Autonomous Systems, 72, 235-247 (2015) |
| [15] | Kostarigka, A. K.; Doulgeri, Z.; Rovithakis, G. A., Prescribed performance tracking for flexible joint robots with unknown dynamics and variable elasticity, Automatica, 49, 5, 1137-1147 (2013) · Zbl 1319.93054 |
| [16] | Kostarigka, A. K.; Rovithakis, G. A., Prescribed performance output feedback/observer-free robust adaptive control of uncertain systems using neural networks, IEEE Transactions on Systems, Man, and Cybernetics Part B( Cybernetics), 41, 6, 1483-1494 (2011) |
| [17] | Lee, T., Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers, System Control Letters, 61, 1, 231-237 (2012) · Zbl 1256.93088 |
| [18] | Liu, Y.; Liu, H.; Sun, X., A variable structure MRAC with expected transient and steady-state performance, Automatica, 42, 5, 805-813 (2016) · Zbl 1137.93015 |
| [19] | Lu, K.; Xia, Y., Finite-time attitude control for rigid spacecraft-based on adaptive super-twisting algorithm, IET Control Theory & Applications, 8, 15, 1465-1477 (2013) |
| [20] | Man, Z.; Paplinski, A. P.; Wu, H. R., A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators, IEEE Transactions on Automatic Control, 39, 12, 2464-2469 (1994) · Zbl 0825.93551 |
| [21] | Polyakov, A., Nonlinear feedback design for fixed-time stabilization of linear control systems, IEEE Transaction on Automatic Control, 57, 8, 2106-2110 (2012) · Zbl 1369.93128 |
| [22] | Sun, W.; Gao, H.; Kaynak, O., Vibration isolation for active suspensions with performance constraints and actuator saturation, IEEE/ASME Transactions on Mechatronics, 20, 2, 675-683 (2015) |
| [23] | Sun, W.; Zhao, Z.; Gao, H., Saturated adaptive robust control for active suspension systems, IEEE Transactions on Industrial Electronics, 60, 9, 3889-3896 (2013) |
| [24] | Wang, L.; Chai, T.; Zhai, L., Neural-network-based terminal sliding-mode control of robotic manipulators including actuator dynamics, IEEE Transactions on Industrial Electronics, 56, 9, 3296-3304 (2009) · Zbl 1221.35349 |
| [25] | Wang, W.; Wen, W., Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance, Automatica, 46, 12, 2082-2091 (2010) · Zbl 1205.93083 |
| [26] | Wen, C.; Zhou, J.; Liu, Z.; Su, H., Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance, IEEE Transactions on Automatic Control, 56, 7, 1672-1678 (2011) · Zbl 1368.93317 |
| [27] | Xiao, B.; Dong, Q.; Ye, D.; Liu, L.; Huo, X., A general tracking control framework for uncertain systems with exponential convergence performance, IEEE/ASME Transactions on Mechatronics, 23, 1, 111-120 (2018) |
| [28] | Xiao, B.; Shen, Y.; Wu, L., A structure simple controller for satellite attitude tracking maneuver, IEEE Transactions on Industrial Electronics, 64, 2, 1436-1446 (2016) |
| [29] | Xiao, B.; Yin, S., Velocity-free fault-tolerant and uncertainty attenuation control for a class of nonlinear systems, IEEE Transactions on Industrial Electronics, 63, 7, 4400-4411 (2016) |
| [30] | Xiao, B.; Yin, S., A new disturbance attenuation control scheme for quadrotor unmanned aerial vehicles, IEEE Transactions on Industrial Informatics, 13, 6, 2922-2932 (2017) |
| [31] | Xiao, B.; Yin, S.; Gao, H., Reconfigurable tolerant control of uncertain mechanical systems with actuator faults: A sliding mode observer-based approach, IEEE Transactions on Control System Technology, 26, 4, 1249-1258 (2018) |
| [32] | Xiao, B.; Yin, S.; Kaynak, O., Tracking control of robotic manipulators with uncertain kinematics and dynamics, IEEE Transactions on Industrial Electronics, 63, 10, 6439-6449 (2016) |
| [33] | Xu, B.; Wang, S.; Gao, G.; Zhang, Y.; Shi, Z., Command filter based robust nonlinear control of hypersonic aircraft with magnitude constraints on states and actuators, Journal of Intelligent & Robotic Systems, 73, 1, 233-247 (2014) |
| [34] | Zhou, Z. G.; Zhang, Y. A.; Shi, X. N.; Zhou, D., Robust attitude tracking for rigid spacecraft with prescribed transient performance, International Journal of Control, 90, 11, 2471-2479 (2017) · Zbl 1380.93100 |
| [35] | Zhu, Z.; Xia, Y.; Fu, M., Attitude stabilization of rigid spacecraft with finite-time convergence, International Journal of Robust and Nonlinear Control, 21, 6, 686-702 (2011) · Zbl 1214.93100 |
| [36] | Zuo, Z.; Tie, L., Distributed robust finite-time nonlinear consensus protocols for multi-agent systems, International Journal of Systems Science, 47, 6, 1366-1375 (2016) · Zbl 1333.93027 |
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