Predictive control for networked systems affected by correlated packet loss. (10th August 2017)

• Record Type: Journal Article
• Authors: Peters, Edwin G.W.; Marelli, Damian; Quevedo, Daniel E.; Fu, Minyue
• Other Names: Quevedo Daniel E. guestEditor.; Chatterjee Debasish guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 15(2019)
• Page Start: 5078
• Page End: 5094
• Publication Date: 2017-08-10
• Subjects: jump linear systems -- networked control -- optimal control -- packet dropouts -- predictive control -- stochastic systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3896
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, we consider the predictive control problem of designing receding horizon controllers for networked linear systems subject to random packet loss in the controller to actuator link. The packet dropouts are temporarily correlated in the sense that they obey a Markovian transition model. Our design task is to solve the optimal controller that minimizes a given receding horizon cost function, using the available packet loss history. Due to the correlated nature of the packet loss, standard linear quadratic regulator methods do not apply. We first present the optimal control law by considering the correlations. This controller turns out to depend on the packet loss history and would typically require a large lookup table for implementation when the Markovian order is high. To address this issue, we present and compare several suboptimal design approaches to reduce the number of control laws.