Guaranteed cost static output feedback for networked control systems

This paper is concerned with the guaranteed cost static output feedback (SOF) control for a networked control system (NCS) in imperfect conditions. First, by analyzing the sampling process in connection with network-induced delays and consecutive data packet dropouts and by introducing a new delay function, we formulate such a NCS as a continuous time delay system with the practical assumption that network delays and consecutive dropouts are bounded. Then, based on the delay-dependent approach, sufficient conditions for the existence of a guaranteed cost SOF controller in the NCS are obtained via a set of non-convex matrix inequalities. A cone complementary linearization (CCL) algorithm is used to solve these inequalities to determine a sub-optimal controller that minimizes the guaranteed cost of the NCS. Simulation results are shown to demonstrate the effectiveness of the proposed method.

[1]  Bo Yu,et al.  Robust mixed H2/H∞ control of networked control systems with random time delays in both forward and backward communication links , 2011, Autom..

[2]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[3]  Huaguang Zhang,et al.  Guaranteed Cost Networked Control for T–S Fuzzy Systems With Time Delays , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[4]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[5]  Q. P. Ha,et al.  H∞ Control and Exponential Stability of Nonlinear Nonautonomous Systems with Time-Varying Delay , 2009, J. Optimization Theory and Applications.

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

[7]  Hui Zhang,et al.  Robust Static Output Feedback Control and Remote PID Design for Networked Motor Systems , 2011, IEEE Transactions on Industrial Electronics.

[8]  Umit Ozguner,et al.  Closed-loop control of systems over a communications network with queues , 1995 .

[9]  Guo-Ping Liu,et al.  Improvement of State Feedback Controller Design for Networked Control Systems , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[10]  Zhi-Hong Guan,et al.  A normalized PID controller in networked control systems with varying time delays. , 2013, ISA transactions.

[11]  Umit Ozguner,et al.  Closed-loop control of systems over a communication network with queues , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[12]  Huijun Gao,et al.  ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity , 2007, IEEE Transactions on Automatic Control.

[13]  Lihua Xie,et al.  Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay , 2007, IEEE Transactions on Automatic Control.

[14]  Peng Shi,et al.  Sampled-data control of networked linear control systems , 2007, Autom..

[15]  Fei Hao,et al.  Linear matrix inequality approach to static output-feedback stabilisation of discrete-time networked control systems , 2010 .

[16]  Hieu Minh Trinh,et al.  State and Input Simultaneous Estimation for a Class of Time-Delay Systems With Uncertainties , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[17]  Johan Nilsson,et al.  Stochastic Analysis and Control of Real-Time Systems with Random Time Delays , 1996 .

[18]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.