A novel adaptive high-order sliding mode control based on integral sliding mode
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This paper presents an adaptive high-order sliding mode control scheme targeting for uncertain minimum phase nonlinear single-input-single-output (SISO) systems, which can be equivalently formulated as the finite-time stabilization of high-order input-output dynamics subject to the uncertainties of parameters such as a chain of integrators. The proposed controller is derived from the concept of integral sliding mode and consists of two parts, one part of which achieves the finite-time stabilization of the high-order input-output dynamics without uncertainties by solving a finite-horizon optimal control problem with a free-final-state. The other part adopts the adaptive sliding mode control technique considering the practical bounded uncertainties, by which a modified switching gain adaptation algorithm is developed so that the on-line switching gain selection can be executed and the upper bounds of the uncertainties are not requisite in advance. As a result, a high-order sliding mode is established, ensuring the sliding variables and its high-order derivatives converge to an arbitrarily small vicinity of the origin in finite time. Therefore, the proposed controller achieves fixed convergence time and further improves strong robustness against bounded uncertainties with lower chattering and the easy implementation. Simulation results are presented in detail to verify the effectiveness and feasibility of the proposed algorithm.
KeywordsHigh-order sliding mode control integral sliding mode switching gain adaptation uncertain system
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- V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems, Taylor & Francis, London, 1999.Google Scholar
- S. Sefriti, J. Boumhidi, M. Benyakhlef, and I. Boumhidi, “Adaptive decentralized sliding mode neural network control of a class of nonlinear interconnected systems,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 7, pp. 2941–2947, 2013.Google Scholar
- S. Laghrouche, F. Plestan, and A. Glumineau, “Higher order sliding mode control based on optimal linear quadratic control,” Proc. of the European Control Conference, Cambridge, England, 2003.Google Scholar
- V. Utkin and J. Shi, “Integral sliding mode in systems operating under uncertainty,” Proc. of the 35th Conf. Decision and Control, Kobe, Japan, pp. 4591–4596, 1996.Google Scholar
- Y. Shtessel, C. Edwards, S. Spurgeon, and J. Kochalummoottil, “Adaptive finite reaching time control and continuous second order sliding modes,” Proc. of the 49th Conf. Decision and Control, Atlanta, USA, pp. 5126–5131, 2010.Google Scholar
- M. Harmouche, S. Laghrouche, and Y. Chitour, “Robust and adaptive higher order sliding mode controllers,” Proc. of the 51st Conf. Decision and Control, Maui Hawaii, USA, pp. 6436–6441, 2012.Google Scholar
- F. L. Lewis and V. L. Syrmos, Optimal Control, Second Edition, John Wiley & Sons, 1995.Google Scholar
- A. F. Filippov, Differential Equations with Discontinuous Right-Hand Side, Kluwer, Dordrecht, 1998.Google Scholar