Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case

Nonfragile Quantized Dissipative Filter for Nonlinear Networked Systems

“…In this paper, we investigate the problem of nonfragile quantized dissipative filter with parameter perturbation in nonlinear networked systems. Compared with the designed filter in [12][13][14][15][16][17][18][19][20], the designed nonfragile quantized dissipative filter in this paper considers the coexistence of time delays, packet losses, and quantization error in the real networked systems. The designed filter decreases the conservation problem by considering filter parameter perturbation.…”

“…However, the design of filter based on dissipative theory can consider both gain and phase information. Therefore, investigating dissipative filtering is of great significance [12][13][14][15][16][17][18][19].…”

“…Similarly, they obtained the parameter expressions of the corresponding filter by solving LMI. Tao et al [16] discussed the problem of dissipative filter for Markov-jump systems, and slack matrix variables were introduced to eliminate the cross-coupling between the Lyapunov matrix and system matrices. Furthermore, they also obtained the sufficient conditions for the existence of the filter by solving LMI.…”

H∞ Control for Discrete‐Time Networked T‐S Fuzzy Systems with Packet Loss Based on Event‐Triggered Mechanism

“…In [20][21][22], a time delay system method has been proposed, which can be used to analyze the stability of a continuous NCS under an event-triggered transmission scheme. In [23], a codesign method of corresponding event-triggered transmission with quantizer and controller has been proposed. The state observation has been used to describe the system model.…”

Reliable Sampled-Data Control of Fuzzy Markovian Systems with Partly Known Transition Probabilities

“…Generally, MJS is modelled by a set of systems with the transitions between the systems determined by a Markov process that takes values over a finite set. So far in the literature, most of the researchers have only considered the environment that the transition probabilities of MJSs are completely known and a great number of fruitful results such as stability and stabilisation analysis [1,2], H ∞ control [3], and dissipativity control [4] has been reported for this kind of systems. Nevertheless, in practice, the transition probabilities of MJSs may not be exactly known; thus, it is necessary and important to further consider a more general jump system with partly known transition probabilities.…”