A fault detection filter is designed for a class of nonlinear networked control systems with sensor saturation, random packet loss and delay, a unified model is constructed to describe the transmission delay caused by packet loss and network induction. By constructing Lyapunov function and using the convex optimization algorithm, a parameter matrix of the H ∞ fault detection filter is obtained by solving a series of linear matrix inequalities, which guarantees that the error system satisfies a concerned performance index. Finally, the validity of the proposed method is illustrated by a numerical example on the internet-based three-tank system.
In this paper, the H∞ control problem is investigated for a class of time-varying state-saturated systems with both stochastic parameters and nonlinearities under the stochastic communication protocol (SCP). The sensor-to-controller network is considered where only one sensor can obtain access to the communication network at each transmission instant. The SCP is adopted to mitigate the undesirable data collision phenomenon. The model transformation technique is employed to simplify the addressed problem, and then, the completing squares method is carried out to obtain a sufficient condition for the existence of the finite-horizon H∞ controller. The controller parameters are characterized by solving two coupled backward recursive Riccati-like difference equations. A simulation example is finally utilized to illustrate the effectiveness of the proposed controller design scheme.
The finite-horizon H∞ control problem is investigated for a class of discrete nonlinear timevarying systems subject to Weighted Try-Once-Discard communication protocol. The equations of state and output under investigation involve both deterministic and stochastic nonlinearities. By resorting to the Taylor series expansion formula, Lyapunov stability theory and cross-amplification lemma, sufficient conditions are established for the existence of the desired observer-based H∞ controller. The gain matrices of the controller and observer are obtained by solving a set of recursive linear matrix inequalities.
To address the problem of filter parameter perturbation in nonlinear networked systems, a nonfragile quantized dissipative filter is designed by considering the coexistence of random one-step time delay, multipacket losses, and quantization error. We acquired the sufficient conditions for the existence of filter by choosing appropriate Lyapunov function as well as utilizing linear matrix inequality. Furthermore, we obtained the parameter expressions of the designed filter. The designed filter could meet the performance requirements of stability and dissipativity for the filter error system under the condition of allowed time delays, packet loss probability, and quantization density. The effectiveness of the designed filter is verified by numerical simulation.
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