Unified Lyapunov function for a finite-time stability analysis of relay second-order sliding mode control systems

A. Polyakov; A. Poznyak

doi:10.1093/imamci/dns007

Unified Lyapunov function for a finite-time stability analysis of relay second-order sliding mode control systems

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dns007 ◽

2012 ◽

Vol 29 (4) ◽

pp. 529-550 ◽

Cited By ~ 30

Author(s):

A. Polyakov ◽

A. Poznyak

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Sliding Mode Control ◽

Control Systems ◽

Finite Time ◽

Sliding Mode ◽

Second Order ◽

Time Stability ◽

Finite Time Stability ◽

Second Order Sliding Mode

Finite time stability of uncertain second order systems using sliding mode control

2016 17th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA) ◽

10.1109/sta.2016.7952057 ◽

2016 ◽

Author(s):

Marwa Jouini ◽

Slim Dhahri ◽

Anis Sellami

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Sliding Mode ◽

Second Order ◽

Time Stability ◽

Finite Time Stability ◽

Mode Control ◽

Second Order Systems

Robust stability analysis of asymptotic second-order sliding mode control system using Lyapunov function

The 2010 IEEE International Conference on Information and Automation ◽

10.1109/icinfa.2010.5512081 ◽

2010 ◽

Cited By ~ 2

Author(s):

Yaodong Pan ◽

Guangjun Liu ◽

Krishna Dev Kumar

Keyword(s):

Control System ◽

Stability Analysis ◽

Lyapunov Function ◽

Sliding Mode Control ◽

Robust Stability ◽

Sliding Mode ◽

Second Order ◽

Mode Control ◽

Robust Stability Analysis ◽

Second Order Sliding Mode

The Method of Characteristics for the Lyapunov Function Design in the Finite-Time Stability Analysis of Sliding Mode Controlled Systems with Uncertainties

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.00198 ◽

2011 ◽

Vol 44 (1) ◽

pp. 768-773 ◽

Cited By ~ 1

Author(s):

Alex Poznyak

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Finite Time ◽

Method Of Characteristics ◽

Sliding Mode ◽

Time Stability ◽

Finite Time Stability ◽

The Method Of Characteristics ◽

Controlled Systems ◽

Function Design

Stability Analysis of Second-Order Sliding Mode Control Systems With Input-Delay Using Poincaré Map

IEEE Transactions on Automatic Control ◽

10.1109/tac.2013.2256673 ◽

2013 ◽

Vol 58 (9) ◽

pp. 2410-2415 ◽

Cited By ~ 19

Author(s):

Xiangjun Li ◽

Xinghuo Yu ◽

Qing-Long Han

Keyword(s):

Stability Analysis ◽

Sliding Mode Control ◽

Control Systems ◽

Poincaré Map ◽

Sliding Mode ◽

Second Order ◽

Input Delay ◽

Poincare Map ◽

Mode Control ◽

Second Order Sliding Mode

Multimodel Discrete Second Order Sliding Mode Control: Stability Analysis and Real Time Application on a Chemical Reactor

Sliding Mode Control ◽

10.5772/15828 ◽

2011 ◽

Cited By ~ 5

Author(s):

Mohamed Mihoub ◽

Ahmed Said ◽

Ridha Ben

Keyword(s):

Stability Analysis ◽

Sliding Mode Control ◽

Real Time ◽

Sliding Mode ◽

Chemical Reactor ◽

Second Order ◽

Mode Control ◽

Control Stability ◽

Real Time Application ◽

Second Order Sliding Mode

The Lyapunov Function Design for the Stability Analysis of the “Italian Version” of the Second Order Sliding Mode Controllers

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.00109 ◽

2011 ◽

Vol 44 (1) ◽

pp. 5866-5871

Author(s):

Andrey Polyakov ◽

Alexander Poznyak

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Sliding Mode ◽

Second Order ◽

Italian Version ◽

Function Design ◽

Sliding Mode Controllers ◽

The Stability ◽

Second Order Sliding Mode

Finite-time Stability of Linear Time-Varying Delay Systems Using LQR Based Sliding Mode Control

2019 Fifth Indian Control Conference (ICC) ◽

10.1109/indiancc.2019.8715587 ◽

2019 ◽

Author(s):

K. Mathiyalagan ◽

G. Sangeetha

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Sliding Mode ◽

Linear Time ◽

Delay Systems ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability ◽

Time Varying Delay ◽

Varying Delay

Adaptive sliding mode control for finite-time stability of quad-rotor UAVs with parametric uncertainties

ISA Transactions ◽

10.1016/j.isatra.2017.11.010 ◽

2018 ◽

Vol 72 ◽

pp. 1-14 ◽

Cited By ~ 99

Author(s):

Omid Mofid ◽

Saleh Mobayen

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Sliding Mode ◽

Adaptive Sliding Mode Control ◽

Parametric Uncertainties ◽

Time Stability ◽

Finite Time Stability ◽

Adaptive Sliding Mode ◽

Mode Control

Second-order sliding mode control with backstepping for aeroelastic systems based on finite-time technique

International Journal of Control Automation and Systems ◽

10.1007/s12555-012-0196-9 ◽

2013 ◽

Vol 11 (2) ◽

pp. 416-421 ◽

Cited By ~ 13

Author(s):

Zhankui Song ◽

Hongxing Li

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Sliding Mode ◽

Second Order ◽

Mode Control ◽

Second Order Sliding Mode

On frequency-domain criterion of finite-time convergence of second-order sliding mode control algorithms

Automatica ◽

10.1016/j.automatica.2011.05.016 ◽

2011 ◽

Vol 47 (9) ◽

pp. 1969-1973 ◽

Cited By ~ 19

Author(s):

Igor M. Boiko

Keyword(s):

Sliding Mode Control ◽

Frequency Domain ◽

Finite Time ◽

Sliding Mode ◽

Second Order ◽

Control Algorithms ◽

Finite Time Convergence ◽

Mode Control ◽

Second Order Sliding Mode