Method of Lyapunov functions for systems with higher-order sliding modes

DOI10.1134/S0005117911050043zbMath1235.93127OpenAlexW2020478156MaRDI QIDQ664256

Alexander S. Poznyak, A. E. Polyakov

Publication date: 1 March 2012

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117911050043

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Super twisting control of a parametrically excited overhead crane ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Dr. Alexander Semionovich Poznyak Gorbatch: Biography ⋮ Finite time convergent learning law for continuous neural networks ⋮ Time-suboptimal feedback design via linear matrix inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Principles of 2-sliding mode design
• Lyapunov function design for finite-time convergence analysis: ``twisting controller for second-order sliding mode realization
• Smooth second-order sliding modes: missile guidance application
• Sliding order and sliding accuracy in sliding mode control
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Compensator based output feedback sliding mode controller design
• Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing
• Liapunov functions and stability in control theory

This page was built for publication: Method of Lyapunov functions for systems with higher-order sliding modes