H2 control of continuous-time uncertain linear systems with input quantization and matched disturbances

For uncertain linear systems with input quantization and matched disturbances, this paper introduces an H"2 state-feedback controller, which comprises linear and nonlinear parts. The former part plays a role in determining the fundamental characteristics of the system against model uncertainties. The latter part eliminates the effect of input quantization and matched disturbances. In other words, each component of the latter part is designed as an integer multiple of the quantization level, which provides a clue to maintaining the decreasing property of a Lyapunov function, associated with the H"2 cost, despite input quantization and matched disturbances.

[1]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[2]  PooGyeon Park,et al.  Output feedback variable structure control for linear systems with uncertainties and disturbances , 2007, Autom..

[3]  L. Meier.  Estimation and control with quantized measurements , 1971 .

[4]  Wei Lin,et al.  Stability of nonlinear continuous time systems with memoryless digital controllers , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[5]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

[6]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[7]  H. Ishii,et al.  Remote control of LTI systems over networks with state quantization , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[8]  Ernesto Kofman,et al.  Quantized-state control: a method for discrete event control of continuous systems , 2003 .

[9]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[10]  PooGyeon Park,et al.  Eliminating effect of input quantisation in linear systems , 2008 .

[11]  D. Yue,et al.  Guaranteed cost control of linear systems over networks with state and input quantisations , 2006 .

[12]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[13]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[14]  Maria Letizia Corradini,et al.  On the robust quantized feedback stabilization of linear systems , 2007 .

[15]  Reyad El-Khazali,et al.  Output feedback variable structure control design , 1995, Autom..

[16]  J. Lam,et al.  Delay-dependent robust H∞ control for uncertain systems with time-varying delays , 1998 .

[17]  Lihua Xie,et al.  Robust control of a class of uncertain nonlinear systems , 1992 .

[18]  D. Delchamps.  Stabilizing a linear system with quantized state feedback , 1990 .

[19]  Chen Peng,et al.  Network-based H ∞ control of linear systems with state quantization , 2006 .

[20]  Panos J. Antsaklis,et al.  Static and dynamic quantization in model-based networked control systems , 2007, Int. J. Control.

[21]  Harry G. Kwatny,et al.  Variable structure control of systems with uncertain nonlinear friction , 2002, Autom..