LPV systems with parameter-varying time delays

2002 ◽  
Author(s):  
Fen Wu ◽  
K.M. Grigoriadis
Keyword(s):  
Time Delays ◽  
Lpv Systems ◽  
Parameter Varying

scholarly journals Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Fu Chen ◽  
Shugui Kang ◽  
Fangyuan Li
Keyword(s):  
Time Delays ◽  
Time Derivative ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Lpv Systems ◽  
Stability And Stabilization ◽  
Parameter Varying ◽  
Conditions Of Stability ◽  
Delay Dependent

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.

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

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.

LPV Systems with parameter-varying time delays: analysis and control

Automatica ◽  
2001 ◽  
Vol 37 (2) ◽  
pp. 221-229 ◽  
Author(s):  
Fen Wu ◽  
Karolos M. Grigoriadis
Keyword(s):  
Time Delays ◽  
Lpv Systems ◽  
Parameter Varying ◽  
And Control

ℋ℞ filtering of uncertain LPV systems with time-delays

2009 ◽  
Author(s):  
Corentin Briat ◽  
Olivier Sename ◽  
Jean-Francois Lafay
Keyword(s):  
Time Delays ◽  
Lpv Systems

Reachable set estimation for Markov jump LPV systems with time delays

2020 ◽  
Vol 376 ◽  
pp. 125117 ◽  
Author(s):  
Xuelian Wang ◽  
Jianwei Xia ◽  
Jing Wang ◽  
Zhen Wang ◽  
Jian Wang
Keyword(s):  
Time Delays ◽  
Reachable Set ◽  
Markov Jump ◽  
Set Estimation ◽  
Lpv Systems ◽  
Reachable Set Estimation

Delay-Dependent L1 Filtering for LPV Systems With Parameter-Varying Delays

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Yanhui Li ◽  
Yan Liang ◽  
Xionglin Luo
Keyword(s):  
Filter Design ◽  
Peak Performance ◽  
Linear Matrix ◽  
Compact Set ◽  
Worst Case ◽  
Lpv Systems ◽  
Error System ◽  
Parameter Varying ◽  
Space Data ◽  
Delay Dependent

The paper investigates the problems of delay-dependent L1 filtering for linear parameter-varying (LPV) systems with parameter-varying delays, in which the state-space data and the time delays are dependent on parameters that are measurable in real-time and vary in a compact set with bounded variation rate. The attention is focused on the design of L1 filter that guarantees the filtering error system to be asymptotically stable and satisfies the worst-case peak-to-peak gain of the filtering error system. In particular, we concentrate on the delay-dependent case, using parameter-dependent Lyapunov function, the decoupled peak-to-peak performance criterion is first established for a class of LPV systems. Under this condition, the admissible filter can be found in terms of linear matrix inequality (LMI) technology. According to approximate basis function and the gridding technique, the filter design problem is transformed into feasible solution problem of the finite parameter LMIs. Finally, a numerical example is provided to illustrate the feasibility of the developed approach.

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