H∞ control of LPV systems with randomly multi-step sensor delays

This paper is concerned with the H∞ control problem for a class of linear parameter-varying (LPV) systems with randomly multi-step sensor delays. A mathematical model which describes the randomly multi-step sensor delayed measurements for LPV systems is established. An improved Lyapunov functional is proposed to determine the asymptotically mean-square stability of the closed-loop system which depends on the varying parameters. The obtained full-order parameter-dependent dynamic feedback controller guarantees the considered system to be asymptotically mean-square stable and to satisfy the modified H∞ performance for all possible delayed measurements. An extended cone complementarity linearization method (CCLM) is used to solve the constrained linear matrix inequality (CLMI). Simulation results illustrate the effectiveness of the proposed method.

[1]  Junping Du,et al.  Delay-dependent H∞ control for LPV systems with time delays , 2007, 2007 46th IEEE Conference on Decision and Control.

[2]  Jamal Daafouz,et al.  Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties , 2001, Syst. Control. Lett..

[3]  Jan Swevers,et al.  Gain-scheduled H 2 and H ∞ control of discrete-time polytopic time-varying systems , 2010 .

[4]  Zhigang Zeng,et al.  Observer-based H∞ control of a class of mixed delay systems with random data losses and stochastic nonlinearities. , 2013, ISA transactions.

[5]  Zidong Wang,et al.  $H_{\infty}$ State Estimation for Discrete-Time Complex Networks With Randomly Occurring Sensor Saturations and Randomly Varying Sensor Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Ma Jing,et al.  Optimal linear estimators for systems with multiple random measurement delays and packet dropouts , 2014, The 26th Chinese Control and Decision Conference (2014 CCDC).

[7]  Shu-Li Sun,et al.  H∞ control for networked systems with random delays and packet dropouts , 2012 .

[8]  Gary J. Balas,et al.  Linear, parameter‐varying control and its application to a turbofan engine , 2002 .

[9]  Jianqiu Li,et al.  Reduced Order Robust Gain‐Scheduling Control Of The Diesel Apu For Series Hybrid Vehicles , 2006 .

[10]  Karolos M. Grigoriadis,et al.  LPV Systems with parameter-varying time delays: analysis and control , 2001, Autom..

[11]  Yeng Chai Soh,et al.  Filtering for networked control systems with single/multiple measurement packets subject to multiple-step measurement delays and multiple packet dropouts , 2011, Int. J. Syst. Sci..

[12]  E. Yaz,et al.  Linear Unbiased State Estimation under Randomly Varying Bounded Sensor Delay , 1998 .

[13]  Fen Wu.  Switching LPV control design for magnetic bearing systems , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[14]  Qing-Long Han,et al.  H∞ control for networked systems with multiple packet dropouts , 2013, Inf. Sci..

[15]  Fuwen Yang,et al.  Observer-based H∞ control for networked systems with consecutive packet delays and losses , 2010 .

[16]  Sung Hyun Kim.  H∞ output-feedback LPV control for systems with input saturation , 2012 .

[17]  Gary J. Balas,et al.  LINEAR, PARAMETER-VARYING CONTROL AND ITS APPLICATION TO AEROSPACE SYSTEMS , 2002 .

[18]  Fuwen Yang,et al.  Observer-based networked control for continuous-time systems with random sensor delays , 2009, Autom..

[19]  Javad Mohammadpour,et al.  Stability and performance analysis of time‐delay LPV systems with brief instability , 2011 .

[20]  Fuwen Yang,et al.  State estimation for coupled output discrete-time complex network with stochastic measurements and different inner coupling matrices , 2012 .