Robust LQ reliable control for networked control systems with long time delays and missing measurements

This paper considers the design of robust LQ reliable control (RLQRC) for networked control systems (NCSs) whose network-induced delay is longer than a sampling period and the measured output may be lost. Both of the full state feedback and filter-based output feedback controls are considered. The derived controls may have the potentiality to tolerate control failures and sustain parametric uncertainties. A parameterized minimum-variance filter (PMVF) is presented for estimating the system state and control failures when the parametric uncertainties are modeled as unknown inputs. It is shown that the proposed RLQRC may be seen as an extended version of the existing stochastic optimal control.

[1]  Chien-Shu Hsieh.  Optimal Filtering for Systems with Unknown Inputs Via Unbiased Minimum-Variance Estimation , 2006, TENCON 2006 - 2006 IEEE Region 10 Conference.

[2]  Panos J. Antsaklis,et al.  Guest Editorial Special Issue on Networked Control Systems , 2004, IEEE Trans. Autom. Control..

[3]  D. Tilbury,et al.  Performance Evaluation of Control Networks : Ethernet , , 1999 .

[4]  Chien-Shu Hsieh,et al.  Robust two-stage Kalman filters for systems with unknown inputs , 2000, IEEE Trans. Autom. Control..

[5]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..

[6]  Peter K. Kitanidis,et al.  Unbiased minimum-variance linear state estimation , 1987, Autom..

[7]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

[8]  Chien-Shu Hsieh.  Robust Parametrized Minimum-Variance Filtering for Uncertain Systems with Unknown Inputs , 2007, 2007 American Control Conference.

[9]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[10]  Asok Ray,et al.  A Stochastic Regulator for Integrated Communication and Control Systems: Part I—Formulation of Control Law , 1991 .

[11]  James Moyne,et al.  Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet , 2001 .

[12]  Gang Tao,et al.  An adaptive control scheme for systems with unknown actuator failures , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[13]  Chien-Shu Hsieh,et al.  A Resilient Guaranteed Cost Control Design Via the Robust Two-Stage LQ Reliable Control , 2005, TENCON 2005 - 2005 IEEE Region 10 Conference.

[14]  R. Patton,et al.  Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances , 1996 .

[15]  Linda Bushnell,et al.  Networks and control [Guest Editorial] , 2001 .

[16]  L. Bushnell.  Networks and Control , 2001 .

[17]  P. Shi,et al.  Guaranteed cost control of uncertain discrete-time systems with delay in state , 1999 .

[18]  François Delebecque,et al.  Kalman filtering for general discrete-time linear systems , 1999, IEEE Trans. Autom. Control..

[19]  Zidong Wang,et al.  Technical Notes and Correspondence Robust Control With Missing Measurements and Time Delays , 2007 .

[20]  Fuwen Yang,et al.  Robust $H_{\infty }$ Control With Missing Measurements and Time Delays , 2007, IEEE Transactions on Automatic Control.

[21]  Mohamed Darouach,et al.  Extension of minimum variance estimation for systems with unknown inputs , 2003, Autom..

[22]  Youmin Zhang,et al.  Active fault-tolerant control system against partial actuator failures , 2002 .

[23]  J. L. Wang,et al.  Resilient guaranteed cost control to tolerate actuator faults for discrete-time uncertain linear systems , 2000 .

[24]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[25]  D.M. Tilbury,et al.  Packet-based control , 2004, Proceedings of the 2004 American Control Conference.

[26]  Dawn M. Tilbury,et al.  Packet-based control: The H2-optimal solution , 2006, Autom..

[27]  Y. Soh,et al.  Reliable control of discrete-time systems with actuator failure , 2000 .

[28]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[29]  Tongwen Chen,et al.  A new method for stabilization of networked control systems with random delays , 2005 .

[30]  R. Patton,et al.  Optimal filtering for systems with unknown inputs , 1998, IEEE Trans. Autom. Control..

[31]  C.-S. Hsieh.  Reliable control design using a two-stage linear quadratic reliable control , 2003 .