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

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 H∞ control for LPV systems with time delays

2008 ◽  
Vol 1 (2) ◽  
pp. 256 ◽  
Author(s):  
Man Sun ◽  
Yingmin Jia ◽  
Junping Du ◽  
Shiying Yuan
Keyword(s):  
Time Delays ◽  
Lpv Systems ◽  
Delay Dependent

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.

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