Search

This article studies the zonotopic set-membership state estimation problem for linear time-varying complex networks with unknown-but-bounded (UBB) noises, where the UBB noises are contained by a set of zonotopes. The objective of the addressed problem is to give two design methods, namely the correction matrix method and the state observer method, where a time-varying zonotopic sequence containing all possible states of the system is obtained. The expressions of the correction matrix and the observer gain are given under the F-radius criterion, and the desired minimum zonotopes are obtained. In addition, a state observer based on the measured output at the current moment is designed to analyze the equivalence between the above two methods. Finally, in order to demonstrate the effectiveness of the proposed state estimation algorithms, two simulation examples are presented. [ABSTRACT FROM AUTHOR]

This paper is concerned with the reliable guaranteed-cost control problem for a class of time-varying networked systems with randomly occurring actuator failures and fading performance output. The randomly occurring actuator failure, which describes the phenomenon of the actuator failure appearing in a random way, is modelled by a Bernoulli distributed white sequence with a known conditional probability. The fading performance output is characterized by a random variable obeying any discrete-time probability distribution over a known interval. The main purpose is to design a reliable controller over a given finite horizon such that, an optimized upper bound of the predefined quadratic performance index is guaranteed for the addressed systems in the presence of both the randomly occurring actuator failures and the fading performance output. It is shown that the desired controller gain can be obtained in terms of the solution to a Riccati-like difference equation. A numerical example is provided to illustrate the feasibility and effectiveness of the proposed control scheme. [ABSTRACT FROM AUTHOR]