A Switched Hold-Zero Compensation Strategy for DCESs Subject to Control Input Missings

Factors like data dropout, failures of calculation nodes and tasks preemption may cause execution failures of standard sample-and-control at some sampling instants. Such a phenomenon of controller failure is called the control input missing. It has recently worthed a special attention since we have to design a compensation controller in order to generate control inputs when a control input missing occurs. In this chapter, we proposed a new switched hold-zero (HZ) control strategy. When a control input missing occurs, the switched HZ control strategy has two candidate control laws: the hold control and the zero control. In the sequel, we study how to make the optimal switching between the two control laws, by setting an appropriate switching parameter, such that the switched HZ control admits the maximum admissible control input missing rate (ACIMR). With the optimal switching parameter, the switched HZ control strategy is shown to be superior than both the zero-control and the hold-control ones. In addition, we propose an application of the ACIMR: designing an appropriate hyper-sampling period based on the obtained ACIMR. According to the obtained hyper-sampling period, the system may positively discard some sample-and-control executions during the run-time. In this way, we may positively reduce the system resource utilization.

[1]  Karl Henrik Johansson,et al.  Predictive compensation for communication outages in networked control systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[2]  Stephen P. Boyd,et al.  Analysis and Synthesis of State-Feedback Controllers With Timing Jitter , 2009, IEEE Transactions on Automatic Control.

[3]  Luca Schenato,et al.  To Zero or to Hold Control Inputs With Lossy Links? , 2009, IEEE Transactions on Automatic Control.

[4]  Wen-an Zhang,et al.  Stabilization of Sampled-Data Control Systems With Control Inputs Missing , 2010, IEEE Transactions on Automatic Control.

[5]  Silviu-Iulian Niculescu,et al.  Some problems in the stability of networked-control systems with periodic scheduling , 2010, Int. J. Control.

[6]  Hisaya Fujioka,et al.  Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities , 2010, Autom..

[7]  Vladimir A. Yakubovich,et al.  Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

[8]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[9]  Young Soo Suh Stability and stabilization of nonuniform sampling systems , 2008, Autom..

[10]  Nathan van de Wouw,et al.  Compensation-based control for lossy communication networks , 2012, 2012 American Control Conference (ACC).

[11]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[12]  Guanrong Chen,et al.  On the stability of networked impulsive control systems , 2012 .

[13]  Max Donath,et al.  American Control Conference , 1993 .