Output-feedback controller design using hysteresis method for switched LPV systems with inexact parameters

This paper designs switched controllers for a class of linear parameter varying (LPV) systems with inexactly measured parameters. Hi performance problem is solved, and a switched LPV controller is designed. By using the multiple Lyapunov functions method, Linear Matrix Inequality (LMI) conditions are proposed, and a switching law is designed based on the hysteresis method. An active magnetic bearing (AMB) example shows effectiveness of proposed method.

[1]  Keith Glover,et al.  Calibratable linear parameter-varying control of a turbocharged diesel engine , 2006, IEEE Transactions on Control Systems Technology.

[2]  Abdelfatah M. Mohamed,et al.  Imbalance compensation and automation balancing in magnetic bearing systems using the Q-parameterization theory , 1995, IEEE Trans. Control. Syst. Technol..

[3]  P. Apkarian,et al.  LPV techniques for control of an inverted pendulum , 1999, IEEE Control Systems.

[4]  Ye Zhao,et al.  Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Masayuki Sato,et al.  Gain-scheduled output-feedback controllers using inexact scheduling parameters for continuous-time LPV systems , 2013, Autom..

[6]  W. P. M. H. Heemels,et al.  Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters $ $ , 2010, IEEE Transactions on Automatic Control.

[7]  Jun Zhao,et al.  Multiple Lyapunov Functions with Blending for Induced L2‐norm Control of Switched LPV Systems and its Application to an F‐16 Aircraft Model , 2014 .

[8]  Toshiki Morito,et al.  LPV Modeling and Gain Scheduled Control of Re-entry Vehicle in Approach and Landing Phase* , 2001 .

[9]  Wilson J. Rugh,et al.  Gain scheduling for H-infinity controllers: a flight control example , 1993, IEEE Trans. Control. Syst. Technol..

[10]  Vijay Vittal,et al.  Decentralized power system stabilizer design using linear parameter varying approach , 2004 .

[11]  Fen Wu,et al.  Switching LPV control of an F-16 aircraft via controller state reset , 2006, IEEE Trans. Control. Syst. Technol..

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

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

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

[15]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

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

[17]  J. Bernussou,et al.  On Inexact LPV Control Design of Continuous–Time Polytopic Systems , 2008, IEEE Transactions on Automatic Control.

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

[19]  J. Kato,et al.  Gain-scheduled controller design based on descriptor representation of LPV systems: application to flight vehicle control , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[20]  Bin He,et al.  Robust LPV control of diesel auxiliary power unit for series hybrid electric vehicles , 2006, IEEE Transactions on Power Electronics.

[21]  Fen Wu,et al.  Switching-based fault-tolerant control for an F-16 aircraft with thrust vectoring , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.