An Invariance Principle for Discontinuous Dynamic Systems With Application to a Coulomb Friction Oscillator
By Joaquin Alvarez, I. Orlov, L. Acho. 2000
155 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/dfb251fc5e916beef65d96ff35497410e5c81f94
How researchers see this paper
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In Control and Systems Engineering
- Jaime A. Moreno
- Leonid M. Fridman
- Arie Levant
- Jorge A. Dávila
- A. Poznyak
- Andrey E. Polyakov
- Yuri B. Shtessel
- Francisco Javier Bejarano
Citations in the corpus
- Observation and Identification of Mechanical Systems via Second Order Sliding Modes (2006, methodology): “A new generation of observers based on second-order sliding-mode algorithms has been recently designed and applied to some practical applications (Alvarez et al. 2000, Bartolini et al. 2003, Shtessel et al. 2003, Pisano and Usai 2004, Davila et al. 2005).”
- High-Order Sliding-Mode Observation of Linear Systems with Unknown Inputs (2008, background): “This condition is very restrictive even for velocity observers for mechanical systems Alvarez et al. [2000], Xian et al. [2004], Davila et al. [2005], Davila et al. [2006], Su et al. [2007].”
- Attractivity of Equilibrium Sets of Systems with Dry Friction (2004, background): “For example, in [9, 10] the attractivity of the equilibrium set of a passive, one-degree-of-freedom friction oscillator with one switching boundary (i.”
- Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems (2004, background): “Hence, the extended version [1, 28] of Krasovskii–LaSalle’s invariance principle [17, 18, 19] is applicable to the switched system (4.”
- Analysis of chattering in continuous sliding-mode controllers (2005, background): “The popularity of continuous SM algorithms can be illustrated by numerous publications devoted to the theory and applications of this idea [4]–[8].”
- Exact state estimation for linear systems with unknown inputs based on hierarchical super‐twisting algorithm (2007, methodology): “In the last two decades the second-order sliding mode algorithms have been designed (see [15–19] and references therein).”
- Second-order sliding-mode observer for mechanical systems (2005, unknown): “Digital Object Identifier 10.1109/TAC.2005.858636”