Time-varying discrete-time linear systems with bounded rates of variation: stability analysis and control design

DOI10.1016/j.automatica.2009.07.015zbMath1180.93084OpenAlexW2060977384MaRDI QIDQ1049160

Pedro L. D. Peres, Ricardo C. L. F. Oliveira

Publication date: 8 January 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.07.015

zbMATH Keywords

stability analysiscontrol designdiscrete-time time-varying systemsbounded rates of parameter variationsLMI relaxations

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (20)

Homogeneous polynomial Lyapunov functions for the analysis of polytopic parameter-dependent descriptor systems ⋮ Stabilization and disturbance rejection with decay rate bounding in discrete‐time linear parameter‐varying systems via ℋ_∞gain‐scheduling static output feedback control ⋮ Design of saturating state feedback control laws for discrete‐time linear parameter varying systems through homogeneous polynomial parameter‐dependent functions ⋮ Discretization and event triggered digital output feedback control of LPV systems ⋮ Zonotopes and Kalman observers: gain optimality under distinct uncertainty paradigms and robust convergence ⋮ Robustness analysis of gain‐scheduled Model Predictive Control for Linear Parameter Varying systems: An Integral Quadratic Constraints approach ⋮ Gain-scheduled control via filtered scheduling parameters ⋮ Improved synthesis conditions for mixed H2/H∞ gain-scheduling control subject to uncertain scheduling parameters ⋮ MPC for LPV systems with bounded parameter variations ⋮ On unknown input observers designs for discrete-time LPV systems with bounded rates of parameter variation ⋮ Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems ⋮ A convex optimization approach to adaptive stabilization of discrete‐time LTI systems with polytopic uncertainties ⋮ Fixed-structure LPV discrete-time controller design with inducedl₂-norm andH2performance ⋮ A new approach to handle additive and multiplicative uncertainties in the measurement for LPV filtering ⋮ Short-Time Linear Quadratic Form Technique for Estimating Fast-Varying Parameters in Feedback Loops ⋮ Reduced order dynamic controller synthesis conditions for LPV periodic discrete-time systems subject to input saturation ⋮ Observer-based state-feedback control design for LPV periodic discrete-time systems ⋮ Discrete-time H_∞ control of linear parameter-varying systems ⋮ Gain-scheduled dynamic output feedback control for discrete-time LPV systems ⋮ Mixed ICC/ℋ_∞ control for systems with sensors aging

Uses Software

• SeDuMi
• YALMIP
• LMI toolbox

Cites Work

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