State feedback control of switched linear systems: an LMI approach

DOI10.1016/j.cam.2005.07.005zbMath1161.93336OpenAlexW1979483178MaRDI QIDQ2496258

V. F. Montagner, Pedro L. D. Peres, Valter J. S. Leite, Ricardo C. L. F. Oliveira

Publication date: 12 July 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.005

zbMATH Keywords

linear matrix inequalitiesquadratic Lyapunov functionswitched linear systemscontinuous-time systemsswitched control\(\mathcal {H}_\infty\) controlPole location

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Iterative numerical methods for linear systems (65F10)

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Uses Software

• LMI toolbox

Cites Work

• Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
• A linear programming oriented procedure for quadratic stabilization of uncertain systems
• Robust output feedback stabilizability via controller switching
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• Hybrid systems: computation and control. 6th international workshop, HSCC 2003, Prague, Czech Republic, April 3--5, 2003. Proceedings
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• Controllability and reachability criteria for switched linear systems
• Controllability and stabilizability of switched linear-systems
• Overcoming the limitations of adaptive control by means of logic-based switching
• Controller design with regional pole constraints
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Quadratic stabilizability of switched linear systems with polytopic uncertainties
• Basic problems in stability and design of switched systems
• Issues in the design of switched linear control systems: A benchmark study
• An algorithm of uniform ultimate boundedness for a class of switched linear systems
• Dynamic output feedback stabilization of a class of switched linear systems

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