Almost sure state estimation with H-2-type performance constraints for nonlinear hybrid stochastic systems

作者：Yang, Hua; Shu, Huisheng^*; Wang, Zidong; Alsaadi, Fuad E.; Hayat, Tasawar

来源：Nonlinear Analysis: Hybrid Systems , 2016, 19: 26-37.

DOI：10.1016/j.nahs.2015.07.004

• State estimation
• Suboptimal estimator
• Almost surely asymptotic stability
• Nonlinear hybrid stochastic systems

This paper is concerned with the problem of almost sure state estimation for general nonlinear hybrid stochastic systems whose coefficients only satisfy local Lipschitz conditions. By utilizing the stopping time method combined with martingale inequalities, a theoretical framework is established for analyzing the so-called almost surely asymptotic stability of the addressed system. Within such a theoretical framework, some sufficient conditions are derived under which the estimation dynamics is almost sure asymptotically stable and the upper bound of estimation error is also determined. Furthermore, a suboptimal state estimator is obtained by solving an optimization problem in the H-2 sense. According to the obtained results, for a class of special nonlinear hybrid stochastic systems, the corresponding conditions reduce to a set of matrix inequalities for the purpose of easy implementation. Finally, two numerical simulation examples are used to demonstrate the effectiveness of the results derived.

• 出版日期2016-2
• 单位山西农业大学; 东华大学