Quasi-continuous high-order sliding-mode controllers
By Arie Levant. IEEE Transactions on Automatic Control, 2005
527 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/bbdd56c4d2609ce329dd71af46e52b53063954bf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- Jaime A. Moreno
- Andrey E. Polyakov
- Leonid M. Fridman
- Yuri B. Shtessel
- Arie Levant
- Marisol Osorio
- Zongyu Zuo
- Denis V. Efimov
Citations in the corpus
- Chattering Analysis (2007, methodology): “The situation is more complicated in the case of quasi-continuous controllers [24], which are continuous everywhere except .”
- Sliding mode control design using canonical homogeneous norm (2019, background): “Therefore, u is a quasi-continuous homogeneous sliding mode control [42].”
- Stability notions and Lyapunov functions for sliding mode control systems (2014, methodology): “The idea explained in the next example was also used in papers [15], [38].”
- Generalized homogeneous quasi‐continuous controllers (2008, methodology): “HOSM was shown capable to control SISO uncertain systems of arbitrary relative degrees [9-20].”
- Principles of 2-sliding mode design (2007, methodology): “At the same time design of new r-sliding controllers is rather difficult with r > 2 due to the complicated geometry of Rr (Floquet et al., 2003; Levant, 2003, 2005b).”
- Finite-time and fixed-time stabilization: Implicit Lyapunov function approach (2015, methodology): “The theoretical background of HOSM control systems is very well developed (Levant, 2005a,b, 2007).”
- A Lyapunov approach to second-order sliding mode controllers and observers (2008, background): “Levant [14], [16] defines the sliding mode order by means of a smooth dynamic system with a smooth output function σ, closed by some possibly dynamical discontinuous feedback, with an output σ to be forced to zero.”
- A fixed-time output feedback control scheme for double integrator systems (2017, background): “The theory of HOSM was well-developed in [7] and [8].”
- Smooth second-order sliding modes: Missile guidance application (2007, methodology): “The rest of the proof follows from Theorem 2 (Levant, 2005b).”