Iterative LMI approach to robust static output feedback control of uncertain polynomial systems with bounded actuators

DOI10.1016/j.automatica.2020.109292zbMath1461.93401OpenAlexW3094346491MaRDI QIDQ2662248

David Banjerdpongchai, Tanagorn Jennawasin

Publication date: 12 April 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2020.109292

zbMATH Keywords

stabilizationpolynomial systemssum-of-squaresiterative LMIstatic output feedbackparameter-dependent Lyapunov functionscontrol input constraints

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (4)

Improved ℋ₂ and ℒ₂ control designs for discrete-time LPV/LFR systems ⋮ Event‐triggered output feedback predictive control for Takagi‐Sugeno model with bounded disturbance and redundant channels ⋮ Static output feedback stabilization of uncertain rational nonlinear systems with input saturation ⋮ Inside-ellipsoid outside-sphere (IEOS) model for general bilinear feasibility problems: feasibility analysis and solution algorithm

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Semidefinite programming relaxations for semialgebraic problems
• A new robust D-stability condition for real convex polytopic uncertainty
• Design of state-feedback control for polynomial systems with quadratic performance criterion and control input constraints
• New dilated LMI characterizations for continuous-time multiobjective controller synthesis
• Matrix sum-of-squares relaxations for robust semi-definite programs
• Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
• Regional stabilisation of polynomial non-linear systems using rational Lyapunov functions
• Fault-tolerant control synthesis for a class of nonlinear systems: Sum of squares optimization approach
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Sufficient LMI conditions for output feedback control problems
• Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations
• LMI Techniques for Optimization Over Polynomials in Control: A Survey
• Static output feedback stabilisation with \(H_{\infty}\) performance for a class of plants

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