Optimal Control for Remote and Local Controllers with Packet Dropout and Input Delay

We investigate the optimal control problem for networked control systems consisting of a linear plant controlled by a remote controller and a local controller. By virtue of the maximum principle, we establish a non-homogeneous relationship between the state and the costate of this class of systems. Based on this relationship, the optimal controllers are derived in terms of the two Riccati equations.

[1]  Huanshui Zhang,et al.  Optimal control for network control systems with state-package dropouts , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[2]  Minyue Fu,et al.  Linear Quadratic Regulation and Stabilization of Discrete-Time Systems With Delay and Multiplicative Noise , 2015, IEEE Transactions on Automatic Control.

[3]  Huanshui Zhang,et al.  Consensus problems for discrete-time agents with communication delay , 2017 .

[4]  Huanshui Zhang,et al.  Receding horizon control for multiplicative noise stochastic systems with input delay , 2017, Autom..

[5]  John D'Azzo,et al.  Tight Formation Flight Control , 2001 .

[6]  Petter Ögren,et al.  Cooperative control of mobile sensor networks:Adaptive gradient climbing in a distributed environment , 2004, IEEE Transactions on Automatic Control.

[7]  Mohamed T. Hadidi,et al.  Linear recursive state estimators under uncertain observations , 1978 .

[8]  Nasser E. Nahi,et al.  Optimal recursive estimation with uncertain observation , 1969, IEEE Trans. Inf. Theory.

[9]  Minyue Fu,et al.  Distributed Consensus of Third‐order Multi‐agent Systems with Communication Delay , 2018 .

[10]  Richard M. Murray,et al.  Optimal LQG control across packet-dropping links , 2007, Syst. Control. Lett..

[11]  Huanshui Zhang,et al.  Discrete-Time LQG Control With Input Delay and Multiplicative Noise , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Huanshui Zhang,et al.  Optimal Control and Stabilization for Networked Control Systems With Packet Dropout and Input Delay , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.