Robust stability bounds for multi-delay networked control systems

ABSTRACT In this paper, the robust stability of a perturbed linear continuous-time system is examined when controlled using a sampled-data networked control system (NCS) framework. Three new robust stability bounds on the time-invariant perturbations to the original continuous-time plant matrix are presented guaranteeing stability for the corresponding discrete closed-loop augmented delay-free system (ADFS) with multiple time-varying sensor and actuator delays. The bounds are differentiated from previous work by accounting for the sampled-data nature of the NCS and for separate communication delays for each sensor and actuator, not a single delay. Therefore, this paper expands the knowledge base in multiple inputs multiple outputs (MIMO) sampled-data time delay systems. Bounds are presented for unstructured, semi-structured, and structured perturbations.

[1]  Hong Ye,et al.  Scheduling of networked control systems , 2001 .

[2]  Rama K. Yedavalli,et al.  A Riccati Equation based Robust Control Design with Application to a Gas Turbine Engine Leading Toward Distributed Control , 2014 .

[3]  Vladimir Rasvan,et al.  Stability and Stable Oscillations in Discrete Time Systems , 2000 .

[4]  Guo-Ping Liu,et al.  Networked Predictive Control of Uncertain Systems With Multiple Feedback Channels , 2013, IEEE Transactions on Industrial Electronics.

[5]  Rama K. Yedavalli,et al.  Improved Robust Stability Bounds for Sampled Data Time Delay Systems , 2015 .

[6]  Randal W. Beard,et al.  Multiple UAV Coalitions for a Search and Prosecute Mission , 2011, J. Intell. Robotic Syst..

[7]  Rohit K. Belapurkar,et al.  Design of a Partially Distributed Turbo-Shaft Engine Control System , 2012 .

[8]  Richard C. Millar,et al.  Status, Vision, and Challenges of an Intelligent Distributed Engine Control Architecture , 2007 .

[9]  Dennis E. Culley,et al.  Concepts for Distributed Engine Control , 2013 .

[10]  B. Anderson,et al.  Digital control of dynamic systems , 1981, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[11]  Rama K. Yedavalli,et al.  Robust Stability of Uncertain Sampled Data Time Delay Systems with Application to Turbine Engine Control , 2013 .

[12]  Rohit K. Belapurkar,et al.  DESIGN OF DISTRIBUTED ENGINE CONTROL SYSTEMS FOR STABILITY UNDER COMMUNICATION PACKET DROPOUTS (POSTPRINT) , 2009 .

[13]  Zhihong Huo,et al.  Robust Stability Analysis for Networked Control Systems , 2008, 2008 International Symposium on Intelligent Information Technology Application Workshops.

[14]  W. P. M. H. Heemels,et al.  Controller synthesis for networked control systems , 2010, Autom..

[15]  Hongbo Song,et al.  Predictive control of uncertain networked systems with distributed forward delays , 2014, Proceeding of the 11th World Congress on Intelligent Control and Automation.

[16]  Tai C Yang,et al.  Networked control system: a brief survey , 2006 .

[17]  James Moyne,et al.  Analysis and modeling of networked control systems: MIMO case with multiple time delays , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[18]  J. Farison,et al.  Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems , 1989 .

[19]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[20]  Cleve B. Moler,et al.  Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later , 1978, SIAM Rev..

[21]  Alireza Behbahani,et al.  Communication Needs Assessment for Distributed Turbine Engine Control , 2008 .

[22]  Sing Kiong Nguang,et al.  Robust Control for Uncertain Networked Control Systems with Random Delays , 2009 .

[23]  Rajni V. Patel,et al.  Quantitative measures of robustness for multivariable systems , 1980 .

[24]  Feng-Li Lian,et al.  Modelling and optimal controller design of networked control systems with multiple delays , 2003 .

[25]  Leonidas Dritsas,et al.  Robust stability analysis of Networked Systems with varying delays , 2009, 2009 European Control Conference (ECC).

[26]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.