Weihai Zhang

H ∞ fusion filter design in multi-sensor fusion system with state time-delays

This paper considers fusion filtering problems of the multi-sensor data fusion system with state time-delays, in which process and measurement noise have unknown statistic characteristic but bounded power. Applying H∞ theory, an optimal fusion filter is presented based on LMI method for discrete-time fusion system. Finally, the theory developed is demonstrated by an example of multi-sensor fusion problem.

Decentralized H ∞ fusion filter design in multi-sensor fusion system

There are in general two different types of methods to process the measured sensor data for multi-sensor fusion system. The first one is the centralized fusion filter, the other is decentralized fusion filter. Both of them have their own advantages and disadvantages. This paper mainly considers decentralized fusion filtering problems of the multi-sensor fusion system on basis of Hinfin filtering theory, the process and measurement noise in the system have unknown statistic characteristic but bounded power. Applying LMI methods, a new approach to design the Hinfin filter is presented. Finally, an example is given to illustrate the effectiveness of our theory.

Stability of nonlinear stochastic systems with uncertain time delays

This paper mainly deals with the robust stability of nonlinear stochastic systems with uncertain time delays. Some sufficient conditions on robust stability are given in terms of linear matrix inequalities(LMIs), which extends the results of to nonlinear case, compared with the pervious works for linear stochastic systems, our results have the advantage of easy computation.

Linear Stochastic Small Gain Theorem with State and Control-Dependent Noise

This paper presents a mean-square small gain theory for linear stochastic Ito systems with both state and control-dependent noise, what we have obtained improves and generalizes the previous results on the system with only state-dependent noise to more general models

Robust H ∞ Filtering Design with Stability Degree Constraint of Linear Stochastic Systems

In this paper, we study the problem of robust Hinfin filtering design with stability degree constraint for a class of linear continuous-time stochastic systems. Necessary and sufficient conditions for the existence of such robust filter are provided in terms of linear matrix inequalities. The theory developed is demonstrated by a practical example