Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Abstract Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.

[1]  Harry G. Johnson.  Towards a New National Policy , 1968 .

[2]  Yong He,et al.  Delay-dependent stabilization of linear systems with time-varying state and input delays , 2005, Autom..

[3]  Emilia Fridman,et al.  Stabilisation of neutral systems with saturating control inputs , 2011, Int. J. Syst. Sci..

[4]  Alexandre Seuret,et al.  Taking into account period variations and actuator saturation in sampled-data systems , 2012, Syst. Control. Lett..

[5]  Goshaidas Ray,et al.  Improved delay-dependent stabilization of time-delay systems with actuator saturation , 2014 .

[6]  El Houssaine Tissir,et al.  Delay-dependent robust anti-windup synthesis approach to AQM in TCP/IP networks , 2016, 2016 International Conference on Electrical and Information Technologies (ICEIT).

[7]  Hieu Minh Trinh,et al.  Observer-based controller design of time-delay systems with an interval time-varying delay , 2012, Int. J. Appl. Math. Comput. Sci..

[8]  Pin-Lin Liu.  Delay-dependent stabilization for linear time-delay uncertain systems with saturating actuators , 2011, Int. J. Gen. Syst..

[9]  Abdelaziz Hmamed,et al.  Further results on the stabilization of time delay systems containing saturating actuators , 1992 .

[10]  A. Manitius.  Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation , 1984 .

[11]  Pin-Lin Liu,et al.  DELAY-DEPENDENT ASYMPTOTIC STABILITZATION FOR UNCERTAIN TIME-DELAY SYSTEMS WITH SATURATING ACTUATORS , 2005 .

[12]  Fernando Tadeo,et al.  Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators , 2015 .

[13]  Yonggang Chen,et al.  Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback , 2015, Autom..

[14]  Emilia Fridman,et al.  STABILIZATION OF NEUTRAL SYSTEMS WITH SATURATING INPUTS , 2005 .

[15]  Abdul Rashid Husain,et al.  Lyapunov-Krasovskii stability condition for system with bounded delay - An application to steer-by-wire system , 2015, 2015 IEEE International Conference on Control System, Computing and Engineering (ICCSCE).

[16]  Yang Tian,et al.  Piecewise-continuous observers for linear systems with sampled and delayed output , 2016, Int. J. Syst. Sci..

[17]  Tingshu Hu,et al.  Stability analysis of linear time-delay systems subject to input saturation , 2002 .

[18]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[19]  Fernando Tadeo,et al.  Robust controller design for congestion control in TCP/IP Routers , 2016, 2016 5th International Conference on Systems and Control (ICSC).

[20]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[21]  Fernando Tadeo,et al.  Robust stabilization using LMI techniques of neutral time-delay systems subject to input saturation , 2017 .

[22]  A. HMAMED,et al.  Robust Stabilization with Saturating Actuators of Neutral and State-Delayed Systems , 2013 .

[23]  Sophie Tarbouriech,et al.  Delay-Dependent Anti-Windup Loops for Enlarging the Stability Region of Time Delay Systems With Saturating Inputs , 2003 .

[24]  Abdellah Benzaouia,et al.  Regulator problem for linear systems with constraints on control and its increment or rate , 2004, Autom..

[25]  C. Vasseur,et al.  Piecewise continuous hybrid systems based observer design for linear systems with variable sampling periods and delay output , 2015, Signal Process..

[26]  El Houssaine Tissir,et al.  Delay and its time-derivative dependent robust stability of uncertain neutral systems with saturating actuators , 2010, Int. J. Autom. Comput..

[27]  Wook Hyun Kwon,et al.  Delay-dependent robust Hinfinity control for uncertain systems with a state-delay , 2004, Autom..

[28]  El Houssaine Tissir.  Delay Dependent Robust Stabilization for Systems With Uncertain Time Varying Delays , 2010 .

[29]  I. Petersen.  A stabilization algorithm for a class of uncertain linear systems , 1987 .