Gain-scheduled open-loop system design for LPV systems using polynomially parameter-dependent Lyapunov functions

DOI10.1016/j.sysconle.2010.02.004zbMath1191.93040OpenAlexW2065591636MaRDI QIDQ976188

Masayuki Sato

Publication date: 17 June 2010

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.02.004

zbMATH Keywords

linear parameter-varying systems\(H_\infty \) filteringinverse systems\(H_{2}\) filteringpolynomially parameter-dependent Lyapunov functions

Mathematics Subject Classification ID

Semidefinite programming (90C22) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05)

Related Items (2)

Gain-scheduled filtering for linear parameter-varying systems using inexact scheduling parameters with bounded variation rates ⋮ Gain-scheduled \(\mathcal{H}_2\) controller synthesis for continuous-time polytopic LPV systems

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
• Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
• Filter design for LPV systems using quadratically parameter-dependent Lyapunov functions
• A new design of robust \(H_2\) filters for uncertain systems
• Parameter-dependent \(\mathcal H_2\) and \(\mathcal H_{\infty}\) filter design for linear systems with arbitrarily time-varying parameters in polytopic domains
• \(\mathcal H_{\infty }\) filtering for discrete-time linear systems with bounded time-varying parameters
• Gain scheduling via linear fractional transformations
• Self-scheduled \({\mathcal H}_ \infty\) control of linear parameter-varying systems: A design example
• Inverse system design for LPV systems using parameter-dependent Lyapunov functions
• Robust \(\mathcal H_2\) filtering for uncertain linear systems: LMI based methods with parametric Lyapunov functions
• Optimal linear filtering under parameter uncertainty
• Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
• Design method of gain-scheduled controllers not depending on derivatives of parameters
• Linear Matrix Inequalities in System and Control Theory
• H/sub 2/ and H/sub ∞/ robust filtering for convex bounded uncertain systems
• Biquadratic stability of uncertain linear systems
• A convex characterization of gain-scheduled H/sub ∞/ controllers
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• Should model-based inverse inputs be used as feedforward under plant uncertainty?
• Robust H/sub 2/ and H/sub /spl infin// filters for uncertain LFT systems
• Robust Filtering for Linear Systems With Convex-Bounded Uncertain Time-Varying Parameters
• Gain-Scheduled Filtering for Time-Varying Discrete Systems
• Gain‐scheduled H_∞ filtering of parameter‐varying systems
• Induced L2-norm control for LPV systems with bounded parameter variation rates

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