HH∞ control of continuous-time uncertain linear systems with quantized-input saturation and external disturbances

This paper introduces an HH∞ state- feedback controller for uncertain linear systems with quantized-input saturation and external disturbances. The proposed controller comprises two parts: a linear control part to achieve an HH∞ performance against model uncertainties and the mismatched part of the disturbances and a nonlinear control part to eliminate the effect of input quantization and the matched part of the disturbances, which provides the better disturbance attenuation performance than a controller that deals with a unified disturbance regardless of the presence of matched and mismatched parts. Simulation results confirm the effectiveness of the proposed controller.

[1]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[2]  Sung Wook Yun,et al.  Dynamic output-feedback guaranteed cost control for linear systems with uniform input quantization , 2010 .

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

[4]  Chen Peng,et al.  Networked Hinfinity control of linear systems with state quantization , 2007, Inf. Sci..

[5]  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).

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

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

[8]  Guang-Hong Yang,et al.  Robust quantized feedback stabilization of linear systems based on sliding mode control , 2013 .

[9]  Zongli Lin,et al.  Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation , 2002, Syst. Control. Lett..

[10]  Maria Letizia Corradini,et al.  On the robust quantized feedback stabilization of linear systems , 2007, 2007 European Control Conference (ECC).

[11]  Guang-Hong Yang,et al.  Adaptive Backstepping Stabilization of Nonlinear Uncertain Systems With Quantized Input Signal , 2014, IEEE Transactions on Automatic Control.

[12]  Guang-Hong Yang,et al.  State feedback H∞ control for quantized discrete‐time systems , 2008 .

[13]  PooGyeon Park,et al.  H2 control of continuous-time uncertain linear systems with input quantization and matched disturbances , 2009, Autom..

[14]  R. Curry Estimation and Control with Quantized Measurements , 1970 .

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

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

[17]  Guanghong Yang,et al.  Quantized output feedback stabilization of uncertain systems with input nonlinearities via sliding mode control , 2014 .

[18]  Sung Wook Yun,et al.  Asymptotic Stabilization of Continuous-Time Linear Systems with Input and State Quantizations , 2014 .

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

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

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

[22]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[23]  Tamer Basar,et al.  Remote control of LTI systems over networks with state quantization , 2005, Syst. Control. Lett..

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

[25]  Asymptotic stabilisation of system with finite-level logarithmic quantiser , 2008 .

[26]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

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

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

[29]  Yunliang Wei,et al.  Quantized Output Feedback Control of Uncertain Discrete-Time Systems with Input Saturation , 2014, Circuits Syst. Signal Process..

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

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

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

[33]  Guang-Hong Yang,et al.  Quantized Dynamic Output Feedback H∞ Control for Discrete-time Systems with Quantizer Ranges Consideration , 2008 .