Performance bounds of discrete-time LQ systems with structured uncertainties

DOI10.1080/00207729408928969zbMath0833.93036OpenAlexW2001671399MaRDI QIDQ4294377

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Publication date: 24 May 1994

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729408928969

zbMATH Keywords

performancediscrete-timelinear quadratic

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55) Linear-quadratic optimal control problems (49N10)

Cites Work

• A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
• Upper bounds for the eigenvalues of the solution of the discrete algebraic Lyapunov equation
• On bounds of the Riccati and Lyapunov matrix equations
• Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation
• Explicit solution and eigenvalue bounds in the Lyapunov matrix equation
• Design of a helicopter output feedback control law using modal and structured-robustness techniques
• Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation

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