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• W2002245851 abstract "To design an rth (r>2) order sliding mode control system, a sliding variable and its derivatives of up to (r − 1) are in general required for the control implementation. This paper proposes a reduced-order design algorithm using only the sliding variable and its derivatives of up to (r − 2) as the extension of the second-order asymptotic sliding mode control. For a linear time-invariant continuous-time system with disturbances, it is found that a high-order sliding mode can be reached locally and asymptotically by a reduced-order sliding mode control law if the sum of the system poles is less than the sum of the system zeros. The robust stability of the reduced-order high-order sliding mode control system, including the convergence to the high-order sliding mode and the convergence to the origin is proved by two Lyapunov functions. Simulation results show the effectiveness of the proposed control algorithm. Copyright © 2010 John Wiley & Sons, Ltd." @default.
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• W2002245851 date "2010-12-30" @default.
• W2002245851 modified "2023-09-25" @default.
• W2002245851 title "Reduced-order design of high-order sliding mode control system" @default.
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• W2002245851 doi "https://doi.org/10.1002/rnc.1678" @default.
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