Non-descriptor dynamic output feedback ESPR controller design for continuous-time descriptor systems

DOI10.1080/00207720802088108zbMath1233.93045OpenAlexW2083681873MaRDI QIDQ3006190

Jian-Liung Chen

Publication date: 10 June 2011

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

Full work available at URL: https://doi.org/10.1080/00207720802088108

zbMATH Keywords

stabilitylinear matrix inequalitiescontinuous-time descriptor systemsclosed-loop transfer matricesExtended Strictly Positive Real (ESPR) controlnon-descriptor output feedback controllerregularity, impulse immunity

Mathematics Subject Classification ID

Feedback control (93B52) Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (3)

FTC with dynamic virtual actuators: characterization via dynamic output controllers and \(H_{\infty}\) approach ⋮ Stability analysis and controller synthesis for fuzzy descriptor systems ⋮ Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback

Cites Work

• Robust stabilization with positive real uncertainty: Beyond the small gain theorem
• Concepts of strict positive realness and the absolute stability problem of continuous-time systems
• Explicit controller formulas for LMI-based \(H_ \infty\) synthesis
• Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous‐time theory
• Robust stabilization and robust performance using model reference control and modeling error compensation
• Synthesis of positive real feedback systems: a simple derivation via Parrott's theorem
• An extension of the positive real lemma to descriptor systems
• On positive realness of descriptor systems

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