H∞ filtering for singular systems with communication delays

H∞ deconvolution filter design for uncertain descriptor hybrid delay systems with limited communication capacity and unknown transition rates

“…for all n t ð Þ 6 ¼ 0: By the similar process of [3,12,32,38], for each r t 5i 2 S and t > 0, we know that there exists a scalar a > 0 such that…”

“…In some previous results for filter design, the implicit assumption is made that there is a perfect communication channel between the measured output y(t) and the filter inputỹðtÞ, that is to say, yðtÞ5ỹ ðtÞ. However, in practical situations, especially in a networked environment, there always exist signal transmission delays and data packet dropout [31,32]. In this article, we take the following strategy to describe the filter inputỹ ðtÞ:…”

“…However, the system plant and the sensors, actuators, controllers or filters, and so forth, are difficult to be located at the same place, and the measured signals are forced to be transmitted from one place to another through the communication channels, which leads to the eminent networked control systems (NCSs). NCSs employ the shared networks to interchange information among the aforesaid system components, which causes inevitable deterioration such as signal transmission delays, data packet dropout and quantization effect, and so on [18,[31][32][33][34][35][36][37].…”

H∞ Filtering for Discrete‐Time Nonlinear Singular Systems with Quantization

“…The related problem of robust H ∞ static output-feedback control for singularly perturbed systems has been addressed in [1]; also the stability, robust stabilization, and H ∞ control of singular systems with impulsive behavior have been studied in [2]; the problem of observer-based resilient 2 -∞ control for singular systems with time-delay has been investigated in [3]; the work in [4] considered the problem of designing stabilizing controllers for singularly perturbed fuzzy systems; by using a new type generalized Lyapunov equation, some new stability conditions for discrete singular systems have been derived in [5]; and [6] investigated the problem state feedback control for uncertain singular systems with timedelay. Due to the fact that the state variables of system are not always available, the problem of state estimation for singular systems has also received considerable attention (see, e.g., [7][8][9][10][11][12][13][14][15][16][17] and references therein). H ∞ filtering problem for continuous-time linear singular systems has been considered in [8]; in [9], the problem of energy-to-peak filtering for discrete-time linear singular systems has been addressed; H ∞ unbiased filtering problem for linear descriptor systems has been studied in [10]; the problem of H ∞ filtering for continuous-and discrete-time singular systems with communication constraints has been investigated in [11] and [12], respectively; the study in [13] considered the problem of robust nonlinear H ∞ filtering for Lipschitz nonlinear descriptor systems with parametric uncertainties; the problem of robust H ∞ filter design of uncertain descriptor systems with distributed delays has been studied in [14]; the 2 Mathematical Problems in Engineering paper [15] concerned the problem of generalized nonlinear 2 -∞ filtering for discrete-time Markov jump descriptor systems with Lipschitz nonlinearity; the generalized nonlinear H ∞ filter design problem for discrete-time Lipschitz nonlinear descriptor systems has been considered in [16]; and [17] studied the observer design problem for discrete-time linear descriptor systems which is also applicable...…”

“…Due to the fact that the state variables of system are not always available, the problem of state estimation for singular systems has also received considerable attention (see, e.g., [7][8][9][10][11][12][13][14][15][16][17] and references therein). H ∞ filtering problem for continuous-time linear singular systems has been considered in [8]; in [9], the problem of energy-to-peak filtering for discrete-time linear singular systems has been addressed; H ∞ unbiased filtering problem for linear descriptor systems has been studied in [10]; the problem of H ∞ filtering for continuous-and discrete-time singular systems with communication constraints has been investigated in [11] and [12], respectively; the study in [13] considered the problem of robust nonlinear H ∞ filtering for Lipschitz nonlinear descriptor systems with parametric uncertainties; the problem of robust H ∞ filter design of uncertain descriptor systems with distributed delays has been studied in [14]; the 2 Mathematical Problems in Engineering paper [15] concerned the problem of generalized nonlinear 2 -∞ filtering for discrete-time Markov jump descriptor systems with Lipschitz nonlinearity; the generalized nonlinear H ∞ filter design problem for discrete-time Lipschitz nonlinear descriptor systems has been considered in [16]; and [17] studied the observer design problem for discrete-time linear descriptor systems which is also applicable to nonlinear descriptor systems with Lipschitz constraints. H ∞ approachbased fault detection filter design for a continuous-time networked control system and unmanned surface vehicles in network environments has been investigated in [18] and [19], respectively, and some novel filter design criteria have been presented.…”