Abstract
The stabilization problem for a class of discrete network control system with time-delay and packet loss in both S-C side and C-A side is researched in this paper. Firstly, two independent discrete Markov chains are used to describe the network time-delay from sensor to controller and the network time-delay from controller to actuator. Two random variables obeying the Bernoulli distribution are employed to describe the packet loss between the sensor and the controller and the packet loss between the controller and the actuator. Secondly, a mathematical model for closed-loop system is established. By constructing the appropriate Lyapunov-Krasovskii functional, the sufficient conditions for the existence of the controller and observer gain matrix are obtained under the condition that the transition probabilities of S-C time-delay and C-A time-delay are both partly unknown. Finally, two examples are exploited to illustrate the effectiveness of the proposed method.
Highlights
Networked control system (NCS) has a great many advantages, such as easy expansion, easy diagnosis and low cost, and it is widely used in industrial control, environmental monitoring, military and other fields [1]–[3]
Considering the S-C packet loss and C-A packet loss, the observer-based stabilization controller design problem was researched for a class of nonlinear NCS
An observer-based dynamic output feedback controller was designed based upon the Lyapunov theory.The quantitative relationship between the packet loss rate and nonlinear level was derived by solving a set of linear matrix inequalities (LMIs) [18]
Summary
Networked control system (NCS) has a great many advantages, such as easy expansion, easy diagnosis and low cost, and it is widely used in industrial control, environmental monitoring, military and other fields [1]–[3]. Two independent discrete Markov chains were employed to describe the S-C timedelay σk and C-A time-delay φk respectively, and the mathematical model of the closed-loop system was established by the method of state augmentation. Considering the S-C packet loss and C-A packet loss, the observer-based stabilization controller design problem was researched for a class of nonlinear NCS. The dynamic output feedback controller was designed for nonlinear NCS with time-delay and packet loss in S-C side. An observer-based dynamic output feedback controller was designed based upon the Lyapunov theory.The quantitative relationship between the packet loss rate and nonlinear level was derived by solving a set of linear matrix inequalities (LMIs) [18]. For the NCS with time-delay and packet loss, the sufficient conditions for the existence of the fault detection filter which made the closed-loop system stable and achieve given H∞ attenuation performance were established.
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