Optimal Model-Based Control with Limited Communication

Abstract Design of optimal controllers for uncertain linear systems subject to communication constraints is investigated in this paper. By following the Model-Based Event-Triggered (MB-ET) control framework we are able to design optimal control laws using the nominal models that are robust to model uncertainties and limited communication. For finite horizon optimal control problems we also provide sub-optimal schedulers that estimate the best time instants to send feedback measurements. The nominal optimal controller and sub-optimal scheduler aim at optimizing the performance of the system that considers the control effort as well as the cost of communication both in the presence of model uncertainties.

[1]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[2]  Sandra Hirche,et al.  On the Optimality of Certainty Equivalence for Event-Triggered Control Systems , 2013, IEEE Transactions on Automatic Control.

[3]  Karl Henrik Johansson,et al.  On the dual effect in state-based scheduling of networked control systems , 2011, Proceedings of the 2011 American Control Conference.

[4]  Sandra Hirche,et al.  On LQG joint optimal scheduling and control under communication constraints , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[5]  Xiaofeng Wang,et al.  Preliminary results on state-trigered scheduling of stabilizing control tasks , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[6]  Lei Zhang,et al.  LQG Control under Limited Communication , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Vijay Gupta,et al.  Distributed estimation and control in networked systems , 2007 .

[8]  Rafael Fierro,et al.  Stability of feedback linearization under intermittent information: A target-pursuit case , 2011, Proceedings of the 2011 American Control Conference.

[9]  J. W. Curtis,et al.  Optimal estimation of multidimensional data with limited measurements , 2011, Proceedings of the 2011 American Control Conference.

[10]  Xiaofeng Wang,et al.  Event-triggered broadcasting across distributed networked control systems , 2008, 2008 American Control Conference.

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

[12]  Tamer Basar,et al.  Optimal control with limited controls , 2006, 2006 American Control Conference.

[13]  Pradeep Kumar Misra,et al.  LQR design with prescribed damping and degree of stability , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[14]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[15]  Feng Lin,et al.  An LQR approach to robust control of linear systems with uncertain parameters , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[16]  J.P. Hespanha,et al.  Optimal communication logics in networked control systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[17]  Dawn M. Tilbury,et al.  The Emergence of Industrial Control Networks for Manufacturing Control, Diagnostics, and Safety Data , 2007, Proceedings of the IEEE.

[18]  J.P. Hespanha,et al.  A Constant Factor Approximation Algorithm for Event-Based Sampling , 2007, 2007 American Control Conference.

[19]  T. Başar,et al.  Optimal Estimation with Limited Measurements , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[20]  Eloy García,et al.  Model-based event-triggered control with time-varying network delays , 2011, IEEE Conference on Decision and Control and European Control Conference.

[21]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[22]  Jose Araujo,et al.  Design and Implementation of Resource-Aware Wireless Networked Control Systems , 2011 .

[23]  W. P. M. H. Heemels,et al.  Output-Based Event-Triggered Control With Guaranteed ${\cal L}_{\infty}$-Gain and Improved and Decentralized Event-Triggering , 2012, IEEE Transactions on Automatic Control.

[24]  D. Antunes Event-triggered control under Poisson events: the role of sporadicity , 2013 .

[25]  M. Athans,et al.  Robust linear quadratic designs with real parameter uncertainty , 1994, IEEE Trans. Autom. Control..

[26]  Eloy García,et al.  Decentralized model-based event-triggered control of networked systems , 2012, 2012 American Control Conference (ACC).

[27]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[28]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[29]  Alberto Bemporad,et al.  Energy-aware robust Model Predictive Control based on wireless sensor feedback , 2008, 2008 47th IEEE Conference on Decision and Control.