H ∞ filtering for switched linear parameter-varying systems and its application to aero-engines

This study deals with the H ∞ filtering problem for switched linear parameter-varying (LPV) systems using the multiple parameter-dependent Lyapunov function technique. The parameter and mode-dependent switching law and the filter state-relied controllers are designed to ensure the H ∞ performance without requiring the stability of each individual subsystem. An H ∞ filtering synthesis condition is obtained by a matrix optimisation iterating algorithm. Simulation result on a switched LPV aero-engine model shows the feasibility and the validity of the H ∞ filtering scheme.

[1]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[2]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[3]  Bo Hu,et al.  Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach , 2001, Int. J. Syst. Sci..

[4]  Camillo J. Taylor,et al.  A vision-based formation control framework , 2002, IEEE Trans. Robotics Autom..

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

[6]  Jonathan P. How,et al.  Modeling and H∞ control for switched linear parameter-varying missile autopilot , 2003, IEEE Trans. Control. Syst. Technol..

[7]  Fen Wu,et al.  Switching LPV control designs using multiple parameter-dependent Lyapunov functions , 2004, Autom..

[8]  Michel Verhaegen,et al.  Robust output-feedback controller design via local BMI optimization , 2004, Autom..

[9]  Jun Zhao,et al.  Stability and L2-gain analysis for switched delay systems: A delay-dependent method , 2006, Autom..

[10]  Huijun Gao,et al.  Robust H∞ filtering for switched linear discrete‐time systems with polytopic uncertainties , 2006 .

[11]  Jun Zhao,et al.  On stability, L2-gain and Hinfinity control for switched systems , 2008, Autom..

[12]  E. Boukas,et al.  Exponential H∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach , 2008 .

[13]  Peng Shi,et al.  $l_{2}-l_{\infty}$ Model Reduction for Switched LPV Systems With Average Dwell Time , 2008, IEEE Transactions on Automatic Control.

[14]  Marcelo C. M. Teixeira,et al.  Variable-Structure Control Design of Switched Systems With an Application to a DC–DC Power Converter , 2009, IEEE Transactions on Industrial Electronics.

[15]  Jun Zhao,et al.  Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings , 2010, Autom..

[16]  Jamal Daafouz,et al.  Dynamic output feedback Hinfinity control of switched linear systems , 2011, Autom..

[17]  Peng Shi,et al.  H ∞ filtering for a class of switched linear parameter varying systems , 2011, Int. J. Syst. Sci..

[18]  Ryozo Nagamune,et al.  Air-Fuel Ratio Control of Spark Ignition Engines Using a Switching LPV Controller , 2012, IEEE Transactions on Control Systems Technology.

[19]  Jun Zhao,et al.  Parameter-dependent H∞ filter design for LPV systems and an autopilot application , 2012, Appl. Math. Comput..

[20]  Lixian Zhang,et al.  Hα control for asynchronously switched linear parameter-varying systems with mode-dependent average dwell time , 2013 .

[21]  Ryozo Nagamune,et al.  Smooth switching LPV controller design for LPV systems , 2014, Autom..

[22]  Jamal Daafouz,et al.  Robust H2 switched filter design for discrete-time polytopic linear parameter-varying systems , 2014, Signal Process..

[23]  Jun Zhao,et al.  Switching stabilization and $${ H}_{\varvec{\infty }}$$H∞ performance of a class of discrete switched LPV system with unstable subsystems , 2014 .

[24]  Hamid Reza Karimi,et al.  Robust L1 fixed-order filtering for switched LPV systems with parameter-dependent delays , 2015, J. Frankl. Inst..

[25]  Jun Fu,et al.  Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers , 2015, Autom..

[26]  Ligang Wu,et al.  Model Approximation for Fuzzy Switched Systems With Stochastic Perturbation , 2015, IEEE Transactions on Fuzzy Systems.

[27]  Jian Xiao,et al.  ℋ∞ filtering for switched discrete‐time systems under asynchronous switching: A dwell‐time dependent Lyapunov functional method , 2015 .

[28]  Christian Hoffmann,et al.  A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations , 2015, IEEE Transactions on Control Systems Technology.

[29]  Yongduan Song,et al.  Fault Detection Filtering for Nonlinear Switched Stochastic Systems , 2016, IEEE Transactions on Automatic Control.