scholarly journals Identification of LPV Systems in the Presence of Outliers and Time-Varying Delays

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 208496-208505
Author(s):  
Xin Liu
Keyword(s):  
Time Varying ◽  
Lpv Systems

scholarly journals ISS Stabilization of Discrete-time LPV Systems with Interval Time-varying State Delay and Saturating Actuators

2018 ◽  
Vol 51 (26) ◽  
pp. 143-148
Author(s):  
C. de Souza ◽  
V.J.S. Leite ◽  
E.B. Castelan ◽  
L.F.P. Silva
Keyword(s):  
Discrete Time ◽  
Time Varying ◽  
State Delay ◽  
Interval Time ◽  
Saturating Actuators ◽  
Lpv Systems

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.

scholarly journals A Parameter-Dependent Approach to Observer-BasedH∞Control for Networked Control LPV Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Yanhui Li ◽  
Xiujie Zhou ◽  
Chang Zhang ◽  
Hamid Reza Karimi
Keyword(s):  
Collaborative Design ◽  
Controller Design ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Time Varying ◽  
Infinite Dimensional ◽  
Lpv Systems ◽  
Parameter Dependent

We address the observer-basedH∞controller design problem for networked control LPV (NC LPV) systems, which are network-based systems that depend on unknown but measurable time-varying parameters. According to the analysis of the special issues brought by introducing network into LPV systems and the state reconstruction based on the observer, a new augmented model is established with two independent time-varying delays, which can carry out the controller and observer collaborative design effectively. Based on the parameter-dependent Lyapunov stability theory, a sufficient condition is proposed to ensure that the closed-loop system is asymptotically stable with a guaranteedH∞performance levelγ, in which the coupling between Lyapunov function matrices and the system matrices existed. By using the Projection Lemma and introducing a slack matrix, the decoupling is achieved successfully, which refers to reducing conservatism. In the present study, the condition for stability analysis and control synthesis is formulated in terms of the parameterized linear matrix inequality (PLMI), which is infinite-dimensional and can be transformed into finite by using the basis function method and gridding technique. A numerical example is given to demonstrate the high validity and merit of the proposed approach.

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