Abstract
This chapter describes an extension of the FTC scheme described in Chap. 3 and considers Linear Parameter Varying (LPV) systems rather than LTI systems . LPV systems can be considered as an extension or generalisation of LTI systems. They represent a certain class of finite dimensional linear systems, in which the entries of the state-space matrices continuously depend on a time varying parameter vector which belongs to a bounded compact set. The objective is to synthesise an FTC scheme which will work over a wider range of operating conditions . To design the virtual control law , the varying input distribution matrix is factorised into a fixed and a varying matrix. As discussed earlier in the text, the virtual control law , designed using the ISM technique, is translated into the actual actuator commands using a CA scheme .
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Notes
- 1.
This may be viewed from a controllability viewpoint, and in the literature, the concept of parameter varying invariant subspaces [1] has been proposed to compute the controllable subspaces for LPV systems with affine parameter dependence.
References
Balas, G., Bokor, J., Szabo, Z.: Invariant subspaces for LPV systems and their applications. IEEE Trans. Autom. Control 48(11), 2065–2069 (2003)
Ganguli, S., Marcos, A., Balas, G.J.: Reconfigurable LPV control design for Boeing 747-100/200 longitudinal axis. In: Proceedings of the American Control Conference (2002)
Balas, G.J.: Linear parameter-varying control and its application to a turbofan engine. Int. J. Robust Nonlinear Control 12, 763–796 (2002)
Marcos, A., Veenman, J., Scherer, C., Zaiacomo, G., Mostaza, D., Kerr, M., Koroglu, H., Bennani, S.: Application of LPV modeling, design and analysis methods to a re-entry vehicle. In: Proceedings of the AIAA GNC/AFM/MST/ASC/ASE Conference, pp. 1–18 (2010)
Theilliol, D., Aberkane, S., Sauter, D.: Fault tolerant control design for polytopic LPV systems. Int. J. Appl. Math. Comput. Sci. 17(1), 27–37 (2007)
Patton, R.J., Klinkhieo, S.: LPV fault estimation and FTC of a two link manipulator. In: Proceedings of the American control Conference, pp. 4647–4652. Baltimore, MD (2010)
Montes, S., Puig, V., Witczak, M., Dziekan, L.: Fault tolerant strategy for actuator faults using LPV techniques: application to a two degree of freedom helicopter. J. Appl. Math. Comput. Sci. 22(1), 161–171 (2012)
Sivrioglu, S., Nonami, K.: Sliding mode control with time-varying hyperplane for AMB systems. IEEE/ASME Trans. Mechatron. 3(1), 51–59 (1998)
Nonami, K., Sivrioglu, S.: Sliding mode control with gain scheduled hyperplane for LPV plant. Variable Structure Systems, Sliding Mode and Nonlinear Control, vol. 247, pp. 263–279. Springer, London (1999)
Alwi, H., Edwards, C.: Robust fault reconstruction for linear parameter varying systems using sliding mode observers. Int. J. Robust Nonlinear Control 24(14), 1947–1968 (2013)
Alwi, H., Edwards, C.: Fault tolerant control of an octorotor using LPV based sliding mode control allocation. In: Proceedings of the American Control Conference, pp. 6505–6510 (2013)
Khong, T.H., Shin, J.: Robustness analysis of integrated LPV-FDI filters and LTI-FTC system for a transport aircraft. In: Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA-2007-6771 (2007)
Marcos, A., Balas, G.: Linear parameter varying modeling of the Boeing 747-100/200 longitudinal motion. In: Proceedings of the AIAA Guidance, Navigation and Control Conference, AIAA-01-4347, pp. 1–11 (2001)
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Hamayun, M.T., Edwards, C., Alwi, H. (2016). Linear Parameter Varying FTC Scheme Using Integral Sliding Modes. In: Fault Tolerant Control Schemes Using Integral Sliding Modes. Studies in Systems, Decision and Control, vol 61. Springer, Cham. https://doi.org/10.1007/978-3-319-32238-4_8
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