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Design of satisfaction output feedback controls for stochastic nonlinear systems under quadratic tracking risk-sensitive index
Authors:Liu?Yungang,Zhang?Jifeng?  author-information"  >  author-information__contact u-icon-before"  >  mailto:jif@control.iss.ac.cn"   title="  jif@control.iss.ac.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Pan?Zigang
Affiliation:1. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
2. Dept. of Electrical and Computer Engineering and Computer Science, Univ. of Cincinnati, USA
Abstract:In this paper, the design problem of satisfaction output feedback controls for stochastic nonlinear systems in strict feedback form under long-term tracking risk-sensitive index is investigated. The index function adopted here is of quadratic form usually encountered in practice, rather than of quartic one used to beg the essential difficulty on controller design and performance analysis of the closed-loop systems. For any given risk-sensitive parameter and desired index value, by using the integrator backstepping method, an output feedback control is constructively designed so that the closed-loop system is bounded in probability and the risk-sensitive index is upper bounded by the desired value.
Keywords:integrator backstepping   nonlinear system   stochastic disturbance   risk-sensitive index   output feedback.
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