Robust pole placement controller design in LMI region for uncertain and disturbed switched systems

DOI10.1016/j.nahs.2008.09.010zbMath1163.93344OpenAlexW2052818127MaRDI QIDQ1026388

J. Blot

Publication date: 24 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.09.010

zbMATH Keywords

quadratic Lyapunov functionhybrid dynamical systemslinear switched systemsswitched control\(H_\infty \) controlLMI (Linear matrix inequalities)

Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Non-fragile reliable \(\mathcal D\)-stabilization for delta operator switched linear systems ⋮ Regularization scheme for uncertain fuzzy differential equations: analysis of solutions ⋮ Filtering-based robust fault detection of fuzzy jump systems ⋮ Robust \(H_\infty\) reliable control for uncertain switched systems with circular disk pole constraints ⋮ Descriptor modelling towards control of a two link pneumatic robot manipulator: a T-S multimodel approach ⋮ Weighted control with ‐stability constraint for switched positive linear systems ⋮ LMI pole regions for a robust discrete-time pole placement controller design ⋮ Hybrid sliding mode observer for switched linear systems with unknown inputs ⋮ Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays

Cites Work

• Output feedback LMI tracking control conditions with \(H_\infty \) criterion for uncertain and disturbed T-S models
• Robust stabilization of linear systems with norm-bounded time-varying uncertainty
• An introduction to hybrid dynamical systems
• State feedback control of switched linear systems: an LMI approach
• Exact differentiation and sliding mode observers for switched Lagrangian systems
• 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
• Two conditions concerning common quadratic Lyapunov functions for linear systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Strong $n$-generators and the rank of some Noetherian one-dimensional integral domains
• Basic problems in stability and design of switched systems
• A Smooth Converse Lyapunov Theorem for Robust Stability

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