Hankel-norm model approximation for LPV systems with parameter-varying time delays

In this paper, we deal with the problem of stability and stabilization for linear parameter-varying (LPV) systems with time-varying time delays. The uncertain parameters are assumed to reside in a polytope with bounded variation rates. Being main difference from the existing achievements, the representation of the time derivative of the time-varying parameter is under a polytopic structure. Based on the new representation, delay-dependent sufficient conditions of stability and stabilization are, respectively, formulated in terms of linear matrix inequalities (LMI). Simulation examples are then provided to confirm the effectiveness of the given approach.

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Hankel norm model approximation of Takagi–Sugeno fuzzy time-delay systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2013.03.003 ◽

2013 ◽

Vol 350 (6) ◽

pp. 1358-1378 ◽

Cited By ~ 2

Author(s):

Tong Peng ◽

Xiaozhan Yang ◽

Chunfeng Wu ◽

Ligang Wu ◽

Baojun Pang

Keyword(s):

Time Delay ◽

Delay Systems ◽

Time Delay Systems ◽

Model Approximation ◽

Norm Model ◽

Hankel Norm ◽

Takagi Sugeno

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LPV systems with parameter-varying time delays

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.657569 ◽

2002 ◽

Author(s):

Fen Wu ◽

K.M. Grigoriadis

Keyword(s):

Time Delays ◽

Lpv Systems ◽

Parameter Varying

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H∞ finite-time control for LPV systems with parameter-varying time delays and external disturbance via observer-based state feedback

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.12.034 ◽

2019 ◽

Vol 356 (12) ◽

pp. 6303-6327 ◽

Cited By ~ 1

Author(s):

Yanmei Hu ◽

Guangren Duan

Keyword(s):

Finite Time ◽

Time Delays ◽

State Feedback ◽

External Disturbance ◽

Time Control ◽

Lpv Systems ◽

Parameter Varying

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Delay-Dependent Induced L2Norm Analysis and Control for LPV Systems With State Delays

10.1115/imece2001/dsc-24574 ◽

2001 ◽

Author(s):

Fen Wu

Keyword(s):

Time Delays ◽

State Feedback ◽

The State ◽

State Feedback Control ◽

Control Synthesis ◽

Compact Set ◽

Lpv Systems ◽

Parameter Varying ◽

Space Data ◽

Delay Dependent

Abstract In this paper, we address the analysis and state-feedback synthesis problems for linear parameter-varying (LPV) systems with parameter-varying time delays. It is assumed that the state-space data and the time delays depend on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. We explore the delay-dependent stability and the induced L2 norm performance of these systems using parameter-dependent Lyapunov functions. In addition, the state-feedback control synthesis problem is examined when a variable state delay is present. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities (LMIs) that can be solved via efficient interior-point algorithms.

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