Abstract
This paper studies the problem of finite-time l2−l∞ tracking control for Markov jump repeated scalar nonlinear systems with partly usable model information. The partly usable model information is considered following a certain Bernoulli distributed white noise sequence. The objective of the study is to design a state-feedback controller such that the augmented closed-loop system is mean-square stochastically finite-time bounded, and a tracking performance level is achieved over a finite time interval. By using the mode-dependent diagonally dominant Lyapunov function approach, some sufficient conditions are established for the existence of an admissible state-feedback controller. Based on these, a state-feedback controller can be constructed by using a simple matrix decoupling approach. Two numerical examples and a modified general economic model are presented to demonstrate the effectiveness of our proposed approach.
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.
