Introduction
Sliding Mode Control
Sliding mode control was conceived in the USSR during the 1950’s and spread to the ‘west’ after the end of the ‘cold war’. Sliding mode control (SMC) is a nonlinear type of control methodology and a special case of variable structure control. An interesting account of early developments in this area appears in [26]. SMC is a robust control methodology and it is quite unique compared to other controller design paradigms, since the performance of the controller depends on the design of the ‘sliding surface’ and not the state tracking directly. The idea of sliding mode control is to force the trajectory of the states onto a predefined surface in the state space. Once reached (usually in finite time), the states are forced to remain on that surface for all subsequent time. Sliding mode control has an inherent robustness property to a certain type of uncertainty which makes SMC a strong candidate for passive fault tolerant control (FTC). Recent accounts of the theory associated with sliding modes appear in [14, 27]. Sliding mode control systems are, in theory, completely insensitive to a class of uncertainty called matched uncertainty [14]. This represents uncertainty which occurs in the channels associated with the control inputs. Intuitively this suggests SMC schemes should inherently have passive FTC capability with respect to actuator faults. The work by Hess & Wells [19] argues that sliding mode control has the potential to become an alternative to reconfigurable control and has the ability to maintain the required performance without requiring fault detection and isolation (FDI).
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References
Alwi, H., Edwards, C.: Fault tolerant control of a civil aircraft using a sliding mode based scheme. In: 44th IEEE Conference on Decision and Control (2005)
Alwi, H., Edwards, C.: Robust sensor fault estimation for tolerant control of a civil aircraft using sliding modes. In: Silver Anniversary American Control Conference (2006)
Alwi, H., Edwards, C.: Fault tolerant control using sliding modes with on-line control allocation. Automatica 44(7), 1859–1866 (2008)
Beck, R.E.: Application of Control Allocation Methods to Linear Systems with Four or More Objectives. PhD thesis, Virginia Polytechnic Institute and State University, Blacksburg, Virginia (2002)
Bordignon, K.A., Durham, W.C.: Closed-form solutions to constrained control allocation problem. Journal of Guidance, Control, and Dynamics 18(5), 1000–1007 (1995)
Bošković, J.D., Mehra, R.K.: Control allocation in overactuated aircraft under position and rate limiting. In: Proceedings of the American Control Conference, pp. 791–796 (2002)
Brière, D., Traverse, P.: Airbus A320/A330/A340 electrical flight controls: A family of fault-tolerant systems. In: Digest of Papers FTCS-23 The Twenty-Third International Symposium on Fault-Tolerant Computing, pp. 616–623 (1993)
Bryson, A.E.: Control of spacecraft and aircraft. Princeton University Press, Princeton (1994)
Buffington, J., Chandler, P., Pachter, M.: On-line system identification for aircraft with distributed control effectors. International Journal of Robust and Nonlinear Control 9, 1033–1049 (1999)
Burcham, F.W., Fullertron, C.G., Maine, T.A.: Manual manipulaton of engine throttles for emergency flight control. Technical Report NASA/TM-2004-212045, NASA (2004)
Burcham, F.W., Maine, T.A., Kaneshinge, J., Bull, J.: Simulator evaluation of simplified propulsion–only emergency flight control system on transport aircraft. Technical Report NASA/TM-1999-206578, NASA (1999)
Corradini, M.L., Orlando, G., Parlangeli, G.: A fault tolerant sliding mode controller for accommodating actuator failures. In: 44th IEEE Conference on Decision and Control (2005)
Davidson, J.B., Lallman, F.J., Bundick, W.T.: Real-time adaptive control allocation applied to a high performance aircraft. In: 5th SIAM Conference on Control & Its Application (2001)
Edwards, C., Spurgeon, S.K.: Sliding Mode Control: Theory and Applications. Taylor & Francis, London (1998)
Enns, D.: Control allocation approaches. In: AIAA Guidance, Navigation and Control, pp. 98–108 (1998)
Hanke, C., Nordwall, D.: The simulation of a jumbo jet transport aircraft. Modelling data, vol. II. Technical Report CR-114494/D6-30643-VOL2, NASA and The Boeing Company (1970)
Härkegård, O.: Backstepping and Control Allocation with Applications to Flight Control. PhD thesis, Division of Automatic Control, Department of Electrical Engineering Linköping University, Sweden (2003)
Härkegård, O., Glad, S.T.: Resolving actuator redundancy - optimal control vs. control allocation. Automatica 41, 137–144 (2005)
Hess, R.A., Wells, S.R.: Sliding mode control applied to reconfigurable flight control design. Journal of Guidance, Control and Dynamics 26, 452–462 (2003)
Jones, C.N.: Reconfigurable flight control: First year report. Technical report, Cambridge University Engineering Department (2005)
Jones, C.N., Maciejowski, J.M.: Fault tolerant flight control: An overview. GARTEUR action group 16: Fault tolerant control. draft for deliverable D1.1 (task T1.2). Technical report, Cambridge University Engineering Department (2005)
Ryan, E.P., Corless, M.: Ultimate boundedness and asymptotic stability of a class of uncertain dynamical systems via continuous and discontinuous control. IMA Journal of Mathematical Control and Information 1, 223–242 (1984)
Shin, D., Moon, G., Kim, Y.: Design of reconfigurable flight control system using adaptive sliding mode control: actuator fault. Proceedings of the Institution of Mechanical Engineers, Part G (Journal of Aerospace Engineering) 219, 321–328 (2005)
Shtessel, Y., Buffington, J., Banda, S.: Tailless aircraft flight control using multiple time scale re-configurable sliding modes. IEEE Transactions on Control Systems Technology 10, 288–296 (2002)
Tan, C.P., Edwards, C.: Sliding mode observers for robust detection and reconstruction of actuator and sensor faults. International Journal of Robust and Nonlinear Control 13, 443–463 (2003)
Utkin, V., Guldner, J., Shi, J.: Sliding Mode Control in Electromechanical Systems. Taylor & Francis, London (1999)
Utkin, V.I.: Sliding Modes in Control Optimization. Springer, Berlin (1992)
Wells, S.R., Hess, R.A.: Multi–input/multi–output sliding mode control for a tailless fighter aircraft. Journal of Guidance, Control and Dynamics 26, 463–473 (2003)
Zhang, Y.M., Jiang, J.: Active fault-tolerant control system against partial actuator failures. IEE Proceedings: Control Theory & Applications 149, 95–104 (2002)
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Alwi, H., Edwards, C. (2010). Fault Tolerant Control Using Sliding Modes with On-Line Control Allocation. In: Edwards, C., Lombaerts, T., Smaili, H. (eds) Fault Tolerant Flight Control. Lecture Notes in Control and Information Sciences, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11690-2_8
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