Robust stabilization of a class of nonlinear time-delay systems

DOI10.1016/S0096-3003(03)00813-0zbMath1053.93037MaRDI QIDQ1883531

Peng Shi, Chang-Chun Hua, Xin-Ping Guan

Publication date: 13 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

time delaynonlinear controladaptive controlRiccati equation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Adaptive or robust stabilization (93D21)

Related Items

Robust adaptive control of linear time-delay systems with point time-varying delays via multiestimation ⋮ Adaptive fuzzy control for uncertain interconnected time-delay systems ⋮ Observer-Based Stabilizing Control for a Class of Nonlinear Retarded Systems ⋮ Output feedback control for a class of stochastic high-order nonlinear systems with time-varying delays ⋮ Robustification of sample-and-hold stabilizers for control-affine time-delay systems ⋮ On Sontag's formula for the sampled-data observer-based stabilization of nonlinear time-delay systems ⋮ Nested extended state observer design for uncertain nonlinear systems under time‐varying disturbance ⋮ On Sontag's formula for the input-to-state practical stabilization of retarded control-affine systems ⋮ The interval stability of an electricity market model ⋮ A Small-Gain Method for the Design of Decentralized Stabilizing Controllers for Interconnected Systems with Delays ⋮ Stabilization of Nonlinear Delay Systems: A Tutorial on Recent Results ⋮ State Estimation and Control of Nonlinear Systems with Large and Variable Measurement Delays ⋮ Robust adaptive control for interval time-delay systems ⋮ Decentralized robust model reference adaptive control for interconnected time-delay systems ⋮ Adaptive output feedback control of a class of uncertain nonlinear systems with unknown time delays

Cites Work

• Unnamed Item
• An LMI approach to guaranteed cost control of linear uncertain time-delay systems
• Robust stabilization for a class of uncertain systems with multiple time delays via linear control
• Robust guaranteed cost control for uncertain linear differential systems of neutral type.
• Robust stability of linear systems with delayed perturbations
• Adaptive regulation for a class of uncertain systems with partial knowledge of uncertainty bounds
• Stabilization of uncertain dynamic systems including state delay
• On robustness and stabilization of linear systems with delayed nonlinear perturbations
• Robust exponential stability of uncertain systems with time-varying delays
• Observer-based robust H_∞, control for uncertain time-delay systems
• Stabilization of Discrete Time-delay Systems with Parametric Uncertainty