Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems

By Yury V. Orlov. SIAM Journal of Control and Optimization, 2004

662 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a8f39bbf3e1bb90009c213294341c5da3a559ca1

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

1. Jaime A. Moreno
2. Andrey E. Polyakov
3. Leonid M. Fridman
4. Yuri B. Shtessel
5. Arie Levant
6. Wilfrid Perruquetti
7. Marisol Osorio
8. Denis V. Efimov

Citations in the corpus

• Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties (2006, background): “Moreover, finite-time stabilization of discontinuous systems has recently been studied in light of differential inclusions in [19].”
• Generalized homogeneous quasi‐continuous controllers (2008, background): “differential equations is considered in [ 25 , 12].”
• Strict Lyapunov Functions for the Super-Twisting Algorithm (2012, background): “However, when the perturbation term appears at s. the estimation errors are no longer zero but ultimately bounded.”
• Stability notions and Lyapunov functions for sliding mode control systems (2014, methodology): “Definition 14 (Uniform finite-time stability, [13], [15]).”
• Smooth second-order sliding modes: Missile guidance application (2007, methodology): “In this work, SSOSM control is studied and its finite-time convergence is proved using homogeneity-based technique (see Bacciotti & Rosier, 2001; Bhatt & Bernstein, 2000; Levant, 2005b; Orlov, 2005).”
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems (2012, background): “The finite-time stability property may demonstrate homogeneous systems with negative degree [4], [20] or the so-called sliding homogeneous systems [16].”
• Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function (2010, neutral): “Eléctrica y Computación, Instituto de Ingenierı́a Universidad Nacional Autónoma de México 04510 México D.F., email: raulcos@mexico.com, lfridman@servidor.unam.mx, JMorenoP@ii.unam.mx.”
• Higher order sliding modes (2008, methodology): “In this paper, a second-order sliding mode control methods is developed using quasi-homogeneous synthesis [17] and applied to controlling some mechanical systems with friction.”
• Robust stabilization of MIMO systems in finite/fixed time (2016, background): “This theorem remains true for homogeneous differential inclusions [26, 8, 28].”
• Sliding mode control design using canonical homogeneous norm (2019, methodology): “If h ∈ Hd(R) ∩ C1(Rn ⧵ {0},R), then edegHd (h)s ∂h(x) ∂x = ∂h(z) ∂z ||||z=d(s) x (11)”
• Implicit discrete-time twisting controller without numerical chattering: analysis and experimental results (2016, positive): “Moreover the discrete Lyapunov function is quite similar to the continuous-time Lyapunov function used in Orlov (2005), which con-firms that the implicit discretization allows to remain as close as possible to the continuous-time system.”
• Adaptive finite-time control of nonlinear systems with parametric uncertainty (2006, background): “For very demanding applications, finite-time stabilization offers an effective alternative, which yields, in some sense, fast response, high tracking precision, and disturbance-rejection properties because of their nonsmoothness [2], [8].”