Observation and Identification of Mechanical Systems via Second Order Sliding Modes

By Jorge A. Dávila, Leonid M. Fridman, A. Poznyak. International Workshop on Variable Structure Systems, 2006. VSS'06., 2006

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Uniform Robust Exact Differentiator (2010, background): “This kind of differentiators can also be used for the construction of robust and exact observers with finite time convergence [6], [4], [9].”
High-Order Sliding-Mode Observation of Linear Systems with Unknown Inputs (2008, background): “[1999], Walcott and Zak [1987], Edwards and Spurgeon [1998], Barbot et al.”
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].”
Guidance and Control of Missile Interceptor using Second-Order Sliding Modes (2009, unknown): “Consider the following disturbance observer [15, 18]:”
Exact state estimation for linear systems with unknown inputs based on hierarchical super‐twisting algorithm (2007, unknown): “Supposing that DAðtÞ is a constant matrix (DAðtÞ 1⁄4 DA), a continuous form of the least square (LS) procedure (used, for instance, in [27]) may be easily applied to generate the on-line estimates ðDAðtÞGÞ of ðDAGÞ: Postmultiplying (47) by xðtÞ and integrating one gets ðDAGÞ Z t y1⁄4tl 1 xðyÞx>ðyÞ d”