Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses
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Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses∗ LIU Yue · HAN Chunyan
DOI: 10.1007/s11424-020-9093-0 Received: 18 March 2019 / Revised: 16 September 2019 c The Editorial Office of JSSC & Springer-Verlag GmbH Germany 2020 Abstract This paper studies the optimal output tracking control and stabilization for networked control systems with packet losses via output feedback control. Both finite-horizon and infinite-horizon cases are considered. For the finite-horizon case, the authors introduce an augmented system according to the state variable and the reference trajectory for the first time. Based on a set of difference Riccati equations, an optimal output feedback tracking controller is proposed by applying the stochastic maximum principle. And an optimal estimator is presented. For the infinite-horizon case, a necessary and sufficient condition for the stabilization of the system is provided. And an optimal output feedback stabilizing tracking controller is obtained by establishing a set of algebraic Riccati equations. Finally, numerical examples are given to verify the proposed results. Keywords control.
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Networked control system, output feedback control, packet losses, stabilization, tracking
Introduction
In recent years, there has been an increasing interest in the systems with their components (e.g., sensors, controllers and actuators) connected via network, namely networked control systems (NCSs)[1] . Advances in NCSs have boosted the development of their applications in different areas, such as mobile sensor networks, automated highway systems, and unmanned aerial vehicles[2–6] . Comparing with the classical feedback control systems, the NCSs have considerable advantages, such as reduced system wiring, lower cost in maintenance, increased system agility, ease of information sharing, and etc[7–9] . However, when the estimation and control operations are executed over a sensing/communication network, we cannot ignore the limited communication resources such as channel capacity and bandwidth as well as uncertainties and LIU Yue · HAN Chunyan (Corresponding author) School of Electrical Engineering, University of Jinan, Jinan 250022, China. Email: [email protected]. ∗ This paper was supported by the National Natural Science Foundation of China under Grant Nos. 61473134, 61573220, U1806204, the Postdoctoral Science Foundation of China under Grant No. 2017M622231, and the Fundamental Research Funds of Shandong University under Grant No. 2017JC009. This paper was recommended for publication by Editor LIU Guoping.
LIU YUE · HAN CHUNYAN
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unreliability of the network, which may result in packet losses in data transmission. Therefore, new tools are needed for the analysis and control synthesis of NCSs. Optimal control of NCSs with packet losses has become a hot topic in the last several decades. A schematic diagram of NCS with packet losses is illustrated in Figure 1. The occurrence of packet losses may damage system performance and even influence the stability of th
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