Abstract
This article focuses on the problem of optimal linear quadratic Gaussian control for networked control systems with multiple delays and packet dropouts. The main contributions are twofold. Firstly, based on the introduced maximum principle for linear quadratic Gaussian system with multiple input delays and packet dropouts, a nonhomogeneous relationship between the state and costate is obtained, which is the key technical tool to solve the problem. Secondly, a necessary and sufficient condition for the optimal networked control problem is given in virtue of the coupled Riccati equations, and the explicit expression of the optimal controller is presented. Numerical examples are shown to illustrate the proposed algorithm.
Highlights
Networked control systems (NCSs) are spatially distributed systems which transmit information between sensors, actuators, and controllers via a shared communication network.[1,2,3] With the wide use of computer and the rapid development of network technology, NCSs are found in a wide range of applications in various fields, such as mobile sensor networks, building automation surveillance, and reduction of car wiring, which makes the control systems more complicated and has attracted considerable attentions.[4,5,6] the situation of time delay and data loss often occurs in the process of communication
The situation of time delay and data loss often occurs in the process of communication. This motivated us to study the optimal control for NCSs with multiple delays and packet dropouts
Motivated by Li et al.,[24] we expend the results of optimal linear quadratic regulation (LQR) control with multiplicative noises and multiple input delays into NCSs subject to multiple delays and packet dropouts
Summary
Networked control systems (NCSs) are spatially distributed systems which transmit information between sensors, actuators, and controllers via a shared communication network.[1,2,3] With the wide use of computer and the rapid development of network technology, NCSs are found in a wide range of applications in various fields, such as mobile sensor networks, building automation surveillance, and reduction of car wiring, which makes the control systems more complicated and has attracted considerable attentions.[4,5,6] the situation of time delay and data loss often occurs in the process of communication. Keywords Networked control systems, LQG optimal control, multiple delays, packet dropouts This motivated us to study the optimal control for NCSs with multiple delays and packet dropouts.
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