Gain-scheduled output-feedback controllers depending solely on scheduling parameters via parameter-dependent Lyapunov functions

DOI10.1016/J.AUTOMATICA.2011.09.023zbMath1235.93107OpenAlexW2049522248MaRDI QIDQ665217

Masayuki Sato

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.09.023

zbMATH Keywords

LPV systemsparameter-dependent Lyapunov functionsgain-scheduled output-feedback controllers

Mathematics Subject Classification ID

Feedback control (93B52) Deterministic scheduling theory in operations research (90B35) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (13)

Design of robust gain-scheduled PI controllers ⋮ H∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems ⋮ Robust control for continuous LPV system with restricted-model-based control ⋮ Observer-based linear parameter-varying control with guaranteed L2-gain and H2-type performance objectives ⋮ Robust \(\mathbf{H_2}\) output-feedback bumpless transfer control of polytopic uncertain LPV systems ⋮ Improved multiobjective switching gain‐scheduled controller synthesis exploiting inexact scheduling parameters ⋮ Switching LPV controller design under uncertain scheduling parameters ⋮ Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties ⋮ \(H_{\infty}\) static output control of discrete-time networked control systems with an event-triggered scheme ⋮ H_∞ Guaranteed Cost Control for <scp>LPV</scp> Systems Subject to The Gain Constraint ⋮ Fixed-structure LPV discrete-time controller design with inducedl₂-norm andH2performance ⋮ Finite-time stabilisation of discrete networked cascade control systems under transmission delay and packet dropout via static output feedback control ⋮ Adaptive sensor and actuator failure compensation for H_∞ static output control of linear systems: a new Lyapunov function method

Cites Work

• Unnamed Item
• Positive polynomials in control.
• Self-scheduled \({\mathcal H}_ \infty\) control of linear parameter-varying systems: A design example
• Homogeneous polynomial forms for robustness analysis of uncertain systems
• Matrix sum-of-squares relaxations for robust semi-definite programs
• An existence result for polynomial solutions of parameter-dependent lmis
• Design method of gain-scheduled controllers not depending on derivatives of parameters
• A convex characterization of gain-scheduled H/sub ∞/ controllers
• H/sub ∞/ design with pole placement constraints: an LMI approach
• LMI Tests for Positive Definite Polynomials: Slack Variable Approach
• Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
• Induced L2-norm control for LPV systems with bounded parameter variation rates

This page was built for publication: Gain-scheduled output-feedback controllers depending solely on scheduling parameters via parameter-dependent Lyapunov functions