Observer-Based Feedback Control of Networked Control Systems With Delays and Packet Dropouts

Abstract

The observer-based feedback controller of a new linear networked control system (NCS) with both delays and packet dropouts is designed when the state information is not fully available. With the effects of transmission delays, NCSs are modeled as a discrete-time system with time-varying parameter. The occurrence of packet dropouts is modeled as a Bernoulli event in the NCSs. Under certain conditions, the observer-based controller is proved to render the corresponding NCSs exponentially mean-square stable based on Lyapunov stability theorem and matrix inequality theory. Finally, numerical simulations are included to demonstrate the theoretical results.

Supervision of Nonlinear Networked Control Systems Under Network Constraints

“…Combining all these equalities, we have (11). Similarly, one can compute the lower predictionẑ − (k) as in (12).…”

“…We propose S = Therefore the system (7) is an interval observer for ( Under a sampling period T = 0.01s, (11) and (12) We plot in Fig. 5 both interval observer (10) and the predictor (13).…”

“…A finite number of Linear Matrix Inequalities (LMI) was used to analyze the system stability. Similarly in [11] and [12], the NCS has been presented in the discretetime domain in the presence of both network delays and data dropout which were modeled as Bernoulli event in [11] and as two Markov chains in the action and measurement channels in [12]. On the other hand, several alternative solutions have been proposed to achieve stability conditions of NCS.…”

H∞ Filter Design for Networked Control Systems: A Markovian Jump System Approach

“…However, the network also brought some new problems, in which time delay and packet dropout are two main aspects, which will not only make a negative impact on system but also may even lead to the instability of system. Recently, the problem of NCSs with time delay and packet dropout phenomenon has become a hot topic in the control field [11][12][13]. e Markovian jump system (MJS) refers to a stochastic system with multiple model states and the system transitions between modes in accordance with the properties of the Markov chain due to the multimode transition characteristics of the Markovian jump system in the actual engineering.…”

Guaranteed cost control of distributed parameter networked control systems with time‐varying delay

“…However, in practical NCS, there inevitably exist time delay, quantization, data packet dropouts and other uncertainties because of the introduction of the communication network, which could cause negative impact on control systems, even lead to instability. Thus, increasing research interests have recently been paid to the study of the stability and stabilization with uncertainties and time‐varying delays, such as …”