Stochastic Inverse optimal control of unknown linear networked control system in the presence of random delays and packet losses

Author

Elvira-Ceja, Santiago ; Sanchez, Edgar N. ; Jagannathan, S.

Author_Institution

Autom. Control Lab., CINVESTAV IPN Unidad Guadalajara, Zapopan, Mexico

fYear

2015

fDate

1-3 July 2015

Firstpage

799

Lastpage

804

Abstract

In this paper, the inverse optimal control approach is applied to stabilization in probability of unknown linear networked control system (NCS) in presence of random delays and packet losses. The proposed control scheme is based on Kalman filter parameter estimation to solve the infinite horizon regulator problem for NCS with stochastic system matrices, and avoids to solve the associated stochastic Riccati equation (SRE); additionally a cost functional is minimized. The stabilizing optimal controller is based on a discrete-time stochastic control Lyapunov function.

Keywords

Kalman filters; Lyapunov methods; Riccati equations; delays; discrete time systems; linear systems; matrix algebra; networked control systems; optimal control; parameter estimation; probability; stability; stochastic systems; Kalman filter parameter estimation; Lyapunov function; NCS; SRE; discrete-time stochastic control; packet loss; probability; random delays; stabilization; stochastic Riccati equation; stochastic inverse optimal control; stochastic system matrices; unknown linear networked control system; Delays; Kalman filters; Optimal control; Packet loss; Stability analysis; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2015

Conference_Location

Chicago, IL

Print_ISBN

978-1-4799-8685-9

Type

conf

DOI

10.1109/ACC.2015.7170832

Filename

7170832