title: Control design for one-sided Lipschitz nonlinear differential inclusions.
abstract: This paper considers stabilization and signal tracking control for one-sided Lipschitz nonlinear differential inclusions (NDIs). Sufficient conditions for exponential stabilization for the closed-loop system are given based on linear matrix inequality theory. Further, the design method is extended to signal tracking control for one-sided Lipschitz NDIs. A control law is designed such that the state of the closed-loop system asymptotically tracks the reference signal. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.
authors.affiliation: College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China. Electronic address: xiushancai@163.com.
authors.forename: Xiushan
authors.initials: X
authors.lastname: Cai
authors.affiliation: College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Gao
authors.affiliation: College of Electric and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China.
authors.forename: Leipo
authors.initials: L
authors.lastname: Liu
authors.affiliation: Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Zhang
keywords: Exponential stabilization; Linear matrix inequalities; Nonlinear differential inclusions; One-sided Lipschitz