Uniform Robust Exact Differentiator

By E. Cruz‐Zavala, Jaime A. Moreno, Leonid M. Fridman. IEEE Conference on Decision and Control, 2010

524 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4a95380697a952394b5cadf04cd14116e3aeb878

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In Control and Systems Engineering

Citations in the corpus

Lyapunov Approach for Analysis and Design of Second Order Sliding Mode Algorithms (2011, background): “All these algorithms are easily designed by means of their Lyapunov functions, and they can find different applications [24, 27, 28, 29, 30, 33].”
Fixed-time backstepping control design for high-order strict-feedback non-linear systems via terminal sliding mode (2017, unknown): “For the tracking control of a non-linear system based on FTDO this situation will cause that one cannot ensure the observer convergence before the plant's trajectory has escaped to infinity [21].”
Fast Fixed-Time Nonsingular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Power System (2017, background): “Due to this attractive property, fixedtime stability has found applications in uniform exact differentiator design [15] and consensus for multiagent systems [16].”
Robust stabilization of MIMO systems in finite/fixed time (2016, background): “The application of these ideas to fixed-time differentiator design is presented in [10].”
Finite-time and fixed-time stabilization: Implicit Lyapunov function approach (2015, background): “Fixed-time stability, that demands boundedness of the settlingtime function for a globally finite-time stable system, was studied in Cruz-Zavala et al. (2011), Polyakov (2012), Polyakov and Fridman (2014).”
A fixed-time output feedback control scheme for double integrator systems (2017, methodology): “(28) which coincides with the uniform robust exact differentiator proposed in [15].”
Multivariable continuous fixed-time second-order sliding mode control: design and convergence time estimation (2017, methodology): “The upper bound of its fixed convergence (settling) time is estimated and appeared to be less conservative than for the known similar algorithm in [15].”
Stability notions and Lyapunov functions for sliding mode control systems (2014, methodology): “An important application of this concepts was considered in the paper [32], which designs a uniform (fixed-time) exact differentiator basing on the second order sliding mode technique.”
A class of predefined-time stable dynamical systems (2018, background): “Consider for example the work by Cruz-Zavala et al. (2011), where the settling-time bound estimate is approximately 100 times larger than the actual true fixed stabilization time.”