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Nonlinear Filtering Under Stochastic Communication Protocol with Unknown Scheduling Probability
Dan Liu,Derui Ding,Ying Sun,Guoliang Wei 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.10
In this paper, the UKF-type nonlinear filtering problem is investigated for general nonlinear systems under stochastic communication protocols (SCPs) with unknown scheduling probabilities. In order to avoid the data collision and alleviate the network communication burden, SCPs, allowed only one sensor node to send data via the shared network, are exploited to orchestrate the scheduling order of sensor nodes. Different from traditionalassumptions with accurate statistics, the scheduling probability of the selected node is unknown, but lies in a reliable interval with known upper and lower bounds. Due to the unknown probabilities, the exact estimation error covariance is not available and hence its upper bound is derived with the help of adding zero terms and eigenvalues of positive definite matrices. Such an upper bound is dependent on known upper and lower bounds of the scheduling probabilities and further utilized to reasonably design the filter gain at each time instant. In light of the obtained covariance and the filter gain, an improved unscented transformation is developed to carry out the designed UKFtype nonlinear filter by improving traditional approximate mean and covariance. Furthermore, the impact of the uncertain size of unknown scheduling probabilities is thoroughly discussed. Finally, a numerical example is given to confirm the effectiveness of the proposed nonlinear filter.
Interval Estimation for Discrete Sequential Systems Under Round-robin Protocol
Xin Li,Guoliang Wei,Derui Ding 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1
In this paper, an interval estimator is designed for discrete sequence systems (DSSs) with delayed measurements. In order to reduce network transmission burden and prevent data collision, the round-robin (RR) protocolis employed to schedule the transmission order of the nodes. The purpose of the problem addressed is to design anovel interval estimator consisting of two coupled sub-estimators for DSSs with the bounded noises, such that 1) theerror dynamics of the estimation upper bound and estimation lower bound are asymptotically stable, 2) the effectfrom the bounded noises on the estimation accuracy is attenuated at a given level by means of an H∞ norm. Basedon the positive system theory combined with the Lyapunov stability theory, the real state is ensured in the interval,whose bounded is determined by the estimation upper bound and estimation lower bound. Moreover, the desiredgains are obtained by solving a class of linear matrix inequalities. Finally, the effectiveness of the proposed intervalestimator is verified by two numerical examples.
Yeming Shi,Guoliang Wei,Derui Ding 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.5
This paper investigates an event-triggered fusion estimation problem for a class of discrete-time nonlinear stochastic systems with unknown parameters and transmission fading over sensor networks (SNs). The system with unknown and bounded parameters is considered in this paper, which is more practical compared with traditional systems. The fading of local estimation information will occur during the remote transmission. Therefore, the objective of this paper is to design a new fusion method based on unknown parameters and faded local estimation information. With the help of Lyapunov-type analysis approaches and quadratic cost function, sufficient conditions are established to ensure the input-to-state stability (ISS) of the dynamics of estimation errors and obtain the bound of estimation errors in the mean square sense. Finally, an appropriate fusion estimation method is proposed to estimate both unknown parameters and system states. At last, an illustrative simulation is utilized to verify the feasibility of the proposed design scheme.
Jiayi Zhang,Guoliang Wei,Shuai Liu,Derui Ding 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.8
In this paper, the PD-type `2 − `∞ synchronization control problem is concerned for a class of discrete time-delayed nonlinear dynamical networks. A PD-type (proportional-derivative-type) pinning control protocol is proposed where only a small fraction of network nodes is controlled in order to achieve the global synchronization performance. Meanwhile, for the sake of decreasing the update frequency of the controller, the periodic intermittent control strategy is developed. The main purpose of the addressed problem is to design a PD-type intermittent pinning feedback controller such that the closed-loop system achieves both the exponential synchronization and the prescribed `2 −`∞ performance index. Subsequently, by means of the Lyapunov-Krasovskii functional method, a sufficient condition is established under which the addressed PD-type controller design problem is recast into a linear convex optimization one that can be easily solved via available software packages. Finally, a simulation example is given to show the applicability of the developed theoretical results.