Event-driven observer-based control for distributed parameter systems using mobile sensor and actuator

Abstract This paper considers the event-driven observer-based control for distributed parameter systems using mobile sensor and actuator. An observer is designed to estimate the states of the distributed parameter systems based on the measurement information provided by the mobile sensor. In order to reduce the frequency of the signal transmissions between the observer and the controller, an event-driven scheme is introduced. Once an event is generated, the event detector will send the newest observer state to the controller. Meanwhile, a guidance scheme is provided to drive the actuator to the position where the observer state reaches the maximum value to improve the control performance. For the event-driven control system, the global uniform ultimate boundedness can be guaranteed by the Lyapunov functional approach despite the reduced sampling frequency. A numerical example is finally presented to illustrate the effectiveness and the advantages of the proposed approaches.

[1]  J. Seinfeld,et al.  Optimal location of measurements for distributed parameter estimation , 1978 .

[2]  Manuel Mazo,et al.  Decentralized Event-Triggered Control Over Wireless Sensor/Actuator Networks , 2010, IEEE Transactions on Automatic Control.

[3]  Maciej Patan,et al.  D-optimal trajectory design of heterogeneous mobile sensors for parameter estimation of distributed systems , 2008, 2008 American Control Conference.

[4]  Dan Liu,et al.  Decentralized event-triggered control strategy in distributed networked systems with delays , 2013 .

[5]  Huai-Ning Wu,et al.  Design of finite dimensional robust H ∞  distributed consensus filters for dissipative PDE systems with sensor networks , 2015 .

[6]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[7]  Baotong Cui,et al.  Estimation of spatially distributed processes using mobile sensor networks with missing measurements , 2015 .

[8]  Hans Zwart,et al.  An Introduction to Infinite-Dimensional Linear Systems Theory , 1995, Texts in Applied Mathematics.

[9]  P. Christofides,et al.  Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes , 2002 .

[10]  Beshah Ayalew,et al.  Estimation and coordinated control for distributed parameter processes with a moving radiant actuator , 2010 .

[11]  Jan Lunze,et al.  Event-based control with communication delays and packet losses , 2012, Int. J. Control.

[12]  Jinsong Liang,et al.  Actuation scheduling in mobile actuator networks for spatial-temporal feedback control of a diffusion process with dynamic obstacle avoidance , 2005, IEEE International Conference Mechatronics and Automation, 2005.

[13]  Panos J. Antsaklis,et al.  Event-triggered output feedback control for networked control systems using passivity: Achieving L2 stability in the presence of communication delays and signal quantization , 2013, Autom..

[14]  Michael A. Demetriou,et al.  Estimation of Spatially Distributed Processes Using Mobile Spatially Distributed Sensor Network , 2009, SIAM J. Control. Optim..

[15]  Panagiotis D. Christofides,et al.  Distributed nonlinear control of diffusion-reaction processes , 2004 .

[16]  Fei Hao,et al.  Event-triggered average consensus control for discrete-time multi-agent systems , 2012 .

[17]  YangQuan Chen,et al.  Time–Optimal Path Planning of Moving Sensors for Parameter Estimation of Distributed Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[18]  Michael A. Demetriou,et al.  Using $\BBH_{2}$-Control Performance Metrics for the Optimal Actuator Location of Distributed Parameter Systems , 2015, IEEE Transactions on Automatic Control.

[19]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[20]  Maciej Patan,et al.  Sensor network design for the estimation of spatially distributed processes , 2010, Int. J. Appl. Math. Comput. Sci..

[21]  Wei Wu,et al.  Suboptimal Event-Triggered Control for Time-Delayed Linear Systems , 2015, IEEE Transactions on Automatic Control.

[22]  Nicolas Marchand,et al.  Event-based control of linear hyperbolic systems of conservation laws , 2016, Autom..

[23]  Michael A. Demetriou,et al.  Adaptive Control of 2-D PDEs Using Mobile Collocated Actuator/Sensor Pairs With Augmented Vehicle Dynamics , 2012, IEEE Transactions on Automatic Control.

[24]  A. Bensoussan,et al.  Optimal sensor scheduling in nonlinear filtering of diffusion processes , 1989 .

[25]  Xuyang Lou,et al.  Optimal switching policy for performance enhancement of distributed parameter systems based on event-driven control , 2014 .

[26]  Michael A. Demetriou.  Incorporating communication delays in the guidance of a moving actuator/sensor for performance enhancement of controlled distributed parameter systems , 2009, 2009 American Control Conference.

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

[28]  Gang Feng,et al.  Event-driven observer-based output feedback control for linear systems , 2014, Autom..

[29]  Alexander Khapalov,et al.  Mobile Point Controls Versus Locally Distributed Ones for the Controllability of the Semilinear Parabolic Equation , 2001, SIAM J. Control. Optim..

[30]  Y. Sawaragi,et al.  Measurement optimization with sensitivity criteria for distributed parameter systems , 1980 .

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

[32]  James C. Robinson.  Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors , 2001 .

[33]  Michael A. Demetriou,et al.  Guidance of Mobile Actuator-Plus-Sensor Networks for Improved Control and Estimation of Distributed Parameter Systems , 2010, IEEE Transactions on Automatic Control.

[34]  Nael H. El-Farra,et al.  Resource-aware model predictive control of spatially distributed processes using event-triggered communication , 2013, 52nd IEEE Conference on Decision and Control.

[35]  M A Demetriou,et al.  Design of spatially distributed filters for distributed parameter systems using mobile sensor networks , 2010, Proceedings of the 2010 American Control Conference.

[36]  Antonio A. Alonso,et al.  Optimal sensor placement for state reconstruction of distributed process systems , 2004 .

[37]  YangQuan Chen,et al.  Optimal Spraying Control of a Diffusion Process Using Mobile Actuator Networks with Fractional Potential Field Based Dynamic Obstacle Avoidance , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[38]  Xiaoming He,et al.  Feedback stabilization of a thermal fluid system with mixed boundary control , 2016, Comput. Math. Appl..

[39]  Michael A. Demetriou.  Design of consensus and adaptive consensus filters for distributed parameter systems , 2010, Autom..