Abstract
This work is concerned with the domain stabilization in probability in fixed time for stochastic nonlinear systems with outputs. The purpose of stabilization is to find a suitable output feedback controller such that the trajectory of the resulting closed-loop stochastic system, starting from an initial value outside a given target domain D, could arrive at the target domain in fixed time T with a minimum probability p. A separation result is shown under Lyapunov-based assumptions, which decomposes the control design into a state feedback problem and a filtering problem. Accordingly, the design of the output feedback controller is proposed with the help of the separation result under certain conditions. Furthermore, design procedures are given to accomplish the purpose of domain stabilization in probability in fixed time for a class of nonlinear stochastic systems. The ARE-based method is applied to solve the state feedback problem, whereas high-gain observers and saturation control techniques are used for the filtering problem. An example is provided for demonstration.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
