Continuous Output Feedback Stabilization for A Class of Stochastic High-order Nonlinear Systems
This paper is concerned with the problem of the global control design via output feedback for a class of high-order stochastic nonlinear systems with unmeasurable states dependent growth and unknown control coefficients. In fact, there have been many deterministic results which inspired the recent intense investigation for their stochastic analogous. However, because of the possibility of non-unique solutions of the systems, there lack basic concepts and theorems for the problem to be solved here. First of all, two stochastic stability concepts are extended to allow the systems with more than one solution, and a key theorem is given to provide the sufficient conditions for the stochastic stabilities in a weaker sense (see also 24). Then, by introducing the suitable reduced order observer and appropriate control Lyapunov functions, and by using the method of adding a power integrator, an continuous (nonsmooth) output feedback controller is successfully designed, which guarantees that the closed-loop system is globally asymptotically stable in probability. It should be pointed out that the paper is motivated by the recent non-stochastic works of C. J Qian’s group.
Stochastic nonlinear systems Uncertain control coefficients Nonsmooth stabilization Output feedback Adding a
ZHANG Jian LIU Yungang
School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1608-1613
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）