Nonlinear sliding mode control design: an LMI approach

DOI10.1016/j.sysconle.2017.03.011zbMath1370.93077OpenAlexW2610926802MaRDI QIDQ2407244

Leonid M. Fridman, Miguel Bernal, Alan Tapia

Publication date: 29 September 2017

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.03.011

zbMATH Keywords

linear matrix inequalitiesnonlinear sliding surfaceconvex models

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear systems in control theory (93C10) Variable structure systems (93B12)

Related Items (14)

Robust pole placement under structural constraints ⋮ Flight evaluation of a sliding mode online control allocation scheme for fault tolerant control ⋮ Dynamic sliding mode control for nonlinear parameter‐varying systems ⋮ Cascade Takagi–Sugeno fuzzy observer design for nonlinear uncertain systems with unknown inputs: A sliding mode approach ⋮ Fault deviation estimation and integral sliding mode control design for Lipschitz nonlinear systems ⋮ Event-triggered integral sliding mode control for linear systems with disturbance ⋮ Second-order sliding set design for a class of uncertain nonlinear systems with disturbances: an LMI approach ⋮ Robust hierarchical sliding mode control with state-dependent switching gain for stabilization of rotary inverted pendulum ⋮ Adaptive sliding-mode-based control for stochastic nonlinear systems subject to probabilistic interval delay: a delay-fractioning method ⋮ LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials ⋮ A polytopic strategy for improved non-asymptotic robust control via implicit Lyapunov functions ⋮ Robust fault estimation and fault tolerant control for three-motor web-winding systems ⋮ Improvements on stability analysis and stabilisation of constant- and variable-gain second-order sliding mode algorithms via exact convex representations ⋮ LMI-based robust adaptive neural network control for Euler–Bernoulli beam with uncertain parameters and disturbances

Uses Software

• SeDuMi
• LMI toolbox

Cites Work

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• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Chattering Analysis
• Min-max sliding-mode control for multimodel linear time varying systems
• Nonlinear Integral-Type Sliding Surface for Both Matched and Unmatched Uncertain Systems
• LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems
• Exact Tracking Using Backstepping Control Design and High-Order Sliding Modes

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