\(H_\infty \) control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback

DOI10.1016/j.nahs.2006.11.004zbMath1157.93365OpenAlexW2034978702MaRDI QIDQ1005293

Zhumu Fu, Fei Long, Wei Wei, Shiyou Zheng, Shu-Min Fei

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2006.11.004

zbMATH Keywords

LMIswitched linear systems\(H_\infty\) output-feedback controllinear fractional uncertainty

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and storage functions (93D30) (H^infty)-control (93B36)

Related Items (10)

Robust \(H_\infty\) finite-time control for discrete-time polytopic uncertain switched linear systems ⋮ Improved stability analysis on delayed neural networks with linear fractional uncertainties ⋮ Robust stabilization for uncertain switched neutral systems with interval time-varying mixed delays ⋮ Robust \(H_\infty\) switching control and switching signal design for uncertain discrete switched systems with interval time-varying delay ⋮ Stochastic stabilization of Itô stochastic systems with Markov jumping and linear fractional uncertainty ⋮ Stabilization and \(L_2\)-gain analysis for a class of cascade switched nonlinear systems: an average dwell-time method ⋮ On output feedback multiobjective control for singularly perturbed systems ⋮ Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling ⋮ RobustH_∞switching control techniques for switched nonlinear systems with application to urban traffic control ⋮ L₂-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation

Cites Work

• Disturbance attenuation properties of time-controlled switched systems
• H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback
• Stability theory for hybrid dynamical systems
• 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
• Hybrid system stability and robustness verification using linear matrix inequalities
• Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems
• Output feedback H_∞ control of systems with parameter uncertainty
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• Nonlinear norm-observability notions and stability of switched systems

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