Optimal strictly positive real controllers using direct optimization

DOI10.1016/j.jfranklin.2005.12.004zbMath1125.93023OpenAlexW2036171986MaRDI QIDQ855930

Christopher John Damaren

Publication date: 7 December 2006

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2005.12.004

zbMATH Keywords

robust controldissipative systemsstrictly passive systems

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Applications of optimal control and differential games (49N90) Linear systems in control theory (93C05)

Related Items (4)

Design of optimal strictly positive real controllers using numerical optimization for the control of flexible robotic systems ⋮ Synthesis of strictly positive real ℋ₂ controllers using dilated LMIs ⋮ Dual approaches to strictly positive real controller synthesis with a H2 performance using linear matrix inequalities ⋮ Controller synthesis for negative imaginary systems using nonlinear optimisation and H₂ performance measure

Uses Software

• NPSOL

Cites Work

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• Frequency domain conditions for strictly positive real functions
• Robust multivariable control of large space structures using positivity
• Time domain and frequency domain conditions for strict positive realness
• On the design of linear multivariable feedback systems via constrained nondifferentiable optimization in H/sup infinity / spaces
• Stability of Large Space Structure Control Systems Using Positivity Concepts
• Dissipative H/sub 2//H/sub ∞/ controller synthesis
• Optimal strictly positive real approximations for stable transfer functions
• Synthesis of positive real ℋ/sub 2/ controllers
• New results for strict positive realness and feedback stability
• On a class of marginally stable positive-real systems

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