Opportunistic scheduling of control tasks over shared wireless channels

We consider a wireless networked control system with multiple loops closing over a shared wireless medium. To avoid interferences a centralized scheduler decides which control task accesses the channel at each time step, opportunistically based on the random wireless channel conditions that systems experience. We formulate the problem of designing channel-aware scheduling and transmit power allocation mechanisms that guarantee Lyapunov-like performances for all control tasks in expectation over the channel conditions, while they also minimize the total power expenditures. Exploiting the zero duality gap, optimal variables are obtained by solving at the dual domain either offline, or online based on the observed random channel sequence. Simulations illustrate the power savings of the opportunistic scheme.

[1]  Wei Zhang,et al.  Scheduling and feedback co-design for networked control systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[2]  Y. Wardi,et al.  Multi-process control using queuing theory , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  Leandros Tassiulas,et al.  Resource Allocation and Cross Layer Control in Wireless Networks (Foundations and Trends in Networking, V. 1, No. 1) , 2006 .

[4]  A. Banerjee.  Convex Analysis and Optimization , 2006 .

[5]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[6]  Lei Zhang,et al.  Communication and control co-design for networked control systems , 2006, Autom..

[7]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[8]  Karl-Erik Årzén,et al.  Feedback–Feedforward Scheduling of Control Tasks , 2002, Real-Time Systems.

[9]  Alejandro Ribeiro,et al.  Power-aware communication for wireless sensor-actuator systems , 2013, 52nd IEEE Conference on Decision and Control.

[10]  Leandros Tassiulas,et al.  Resource Allocation and Cross-Layer Control in Wireless Networks , 2006, Found. Trends Netw..

[11]  D. Hristu-Varsakelis.  Feedback control systems as users of a shared network: communication sequences that guarantee stability , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[12]  George J. Pappas,et al.  Resource constrained LQR control under fast sampling , 2011, HSCC '11.

[13]  Ness B. Shroff,et al.  A framework for opportunistic scheduling in wireless networks , 2003, Comput. Networks.

[14]  Alejandro Ribeiro,et al.  Optimal resource allocation in wireless communication and networking , 2012, EURASIP Journal on Wireless Communications and Networking.

[15]  R. Durrett.  Probability: Theory and Examples , 1993 .

[16]  Rajeev Alur,et al.  Automata Based Interfaces for Control and Scheduling , 2007, HSCC.

[17]  Alejandro Ribeiro,et al.  Optimal Power Management in Wireless Control Systems , 2014, IEEE Transactions on Automatic Control.