Parameter-dependent Lyapunov functions for state-derivative feedback control in polytopic linear systems

DOI10.1080/00207179.2011.598948zbMath1230.93074OpenAlexW2002450837MaRDI QIDQ3098203

Flávio A. Faria, Luiz Francisco S. Buzachero, Marcelo C. M. Teixeira, Emerson R. P. da Silva, Edvaldo Assunção

Publication date: 17 November 2011

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

Full work available at URL: https://doi.org/10.1080/00207179.2011.598948

zbMATH Keywords

uncertain linear systemslinear matrix inequalities (LMIs)parameter-dependent Lyapunov functionstate-derivative feedbackstructural failures

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Linear systems in control theory (93C05)

Related Items (4)

Direct discrete time design of robust state derivative feedback control laws ⋮ Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback ⋮ Design of gain scheduling control using state derivative feedback ⋮ LMI-based designs for robust state and output derivative feedback guaranteed cost controllers in reciprocal state space form

Uses Software

• LMI toolbox

Cites Work

• Stabilizability and disturbance rejection with state-derivative feedback
• Reducing conservativeness in recent stability conditions of TS fuzzy systems
• Robust state-derivative feedback LMI-based designs for linear descriptor systems
• A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems
• Analysis and design for a class of complex control systems. II: Fuzzy controller design
• A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence
• LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
• Robust state-derivative pole placement LMI-based designs for linear systems
• Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
• Analysis and Synthesis of Robust Control Systems Using Linear Parameter Dependent Lyapunov Functions
• Robust state-derivative feedback LMI-based designs for multivariable linear systems

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