Stability analysis and stabilisation of switched nonlinear systems

DOI10.1080/00207179.2012.666855zbMath1282.93206OpenAlexW2118341469MaRDI QIDQ5745584

Marc Jungers, Carlos A. C. Gonzaga, Jamal Daafouz

Publication date: 30 January 2014

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2012.666855

zbMATH Keywords

Lyapunov functioninput saturationLMIsbasin of attraction estimatecone-bounded nonlinearitylocal stability and stabilisation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Switching fuzzy modelling and control scheme using T-S fuzzy systems with nonlinear consequent parts ⋮ Absolute stability of switched Lurie systems via dwell time switching ⋮ Stochastic stabilization and induced \(\ell_2\)-gain for discrete-time Markov jump Lur'e systems with control saturation ⋮ MIN-switching local stabilization for discrete-time switching systems with nonlinear modes ⋮ Stabilization of discrete-time nonlinear switching systems ⋮ Active mode identification and continuous state estimation for switched linear systems with unknown inputs and slow switching signal ⋮ Anti-windup strategies for discrete-time switched systems subject to input saturation ⋮ Bracketing backward reach sets of a dynamical system

Cites Work

• Finite \({\mathcal L}_2\)-induced gain and \(\lambda \)-contractivity of discrete-time switching systems including modal nonlinearities and actuator saturations
• Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
• Circle and Popov criteria as tools for nonlinear feedback design.
• Linear Matrix Inequalities in System and Control Theory
• A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Design of Switched Linear Systems in the Presence of Actuator Saturation
• Stability Analysis and Stabilization of Systems Presenting Nested Saturations
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

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