This paper proposes a new nonlinear controller applicable to single-input linear systems under bounded disturbance. The controller provides control signals satisfying specified amplitude and rate-of-change limitations. This feature is realized by its sliding mode-like structure comprising a set-valued function. The controller also employs a state-dependent parameter to broaden the region of attraction and to shrink the terminal attractor. In addition, this paper provides a discrete-time implementation of the proposed controller based on a model-based implicit discretization scheme. Numerical examples show the validity of the proposed controller.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.