Second-order sliding-mode observer for mechanical systems

By Jorge A. Dávila, Leonid M. Fridman, Arie Levant. IEEE Transactions on Automatic Control, 2005

1,156 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4a7aa59a2e38ee3f0c7781be40d82d2a466fc2ea

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In Control and Systems Engineering

Citations in the corpus

Robust observation and identification of nDOF Lagrangian systems (2007, neutral): “A new generation of observers based on second-order sliding-mode algorithms has been recently designed and applied to some practical problems [14–19].”
Smooth second-order sliding modes: Missile guidance application (2007, methodology): “(11) Next, assuming the variables Vr(t), V (t), r(t), , m measured, AT, (t) is estimated by the observer (3) with m = 2, 0 = 2, 1 = 1.5 and 2 = 1.1 (see Davila et al., 2005).”
Finite Time Fault Tolerant Control for Robot Manipulators Using Time Delay Estimation and Continuous Nonsingular Fast Terminal Sliding Mode Control (2017, methodology): “A third solution proposed to decrease the chattering is the high-order sliding mode (HOSM) technique [59-66].”
Finite-time converging jump observer for switched linear systems with unknown inputs ☆ (2011, background): “with properly chosen coefficients λk,1 and λk,2 (Levant (2003a); Davila et al. (2005)).”
A Lyapunov approach to second-order sliding mode controllers and observers (2008, methodology): “Subjects of increasing interest are the sliding modes based observers [4], [7], [8], [20], [22].”
On optimal predefined‐time stabilization (2017, background): “Consider a pendulum system with viscous friction and an external perturbation [47] P x1 D x2; P x2 D g L sin.”
Uniform Second-Order Sliding Mode Observer for mechanical systems (2010, methodology): “If µ1 = 1 and µ2 = 0, USOSMO reduces to a STO.”
Higher‐order sliding‐mode observer for state estimation and input reconstruction in nonlinear systems (2008, background): “The problem of robust state observation continues to be actively studied using sliding modes, see, for example, [2–5].”
A linear framework for the robust stability analysis of a Generalized Super-Twisting Algorithm (2009, methodology): “The main problem when using STA is that the proofs presented in [11], [5] are geometrical and, thus, the estimation of the convergence time is very problematic there.”