Abstract
This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability (iISS) in deterministic systems and stochastic input-to-state stability (SISS) in stochastic systems, a concept of stochastic integral input-to-state stability (SiISS) using Lyapunov functions is first introduced. A constructive strategy is proposed to design a dynamic output feedback control law, which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely bounded. At last, a simulation is given to verify the effectiveness of the control law.
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This work was supported by National Natural Science Foundation of China (No. 60774010, 10971256, and 60974028), Jiangsu “Six Top Talents” (No. 07-A-020), Natural Science Foundation of Jiangsu Province (No.BK2009083), Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province (No.07KJB510114), and Natural Science Foundation of Xuzhou Normal University (No. 08XLB20).
Xin Yu received the B. Sc. and M. Sc. degrees from Qufu Normal University, PRC in 2006 and 2009, respectively. He is currently a Ph. D. candidate at Southeast University, PRC.
His research interest includes stochastic nonlinear control systems.
Na Duan is currently a Ph. D. candidate at Qufu Normal University, PRC and an assistant at Xuzhou Normal University, PRC.
Her research interest includes stochastic nonlinear control systems.
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Yu, X., Duan, N. Output feedback for stochastic nonlinear systems with unmeasurable inverse dynamics. Int. J. Autom. Comput. 6, 391–394 (2009). https://doi.org/10.1007/s11633-009-0391-1
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DOI: https://doi.org/10.1007/s11633-009-0391-1