document: Stabilization of global invariant sets for chaotic systems : an energy based control approach This paper presents a new control approach for steering trajectories of three-dimensional nonlinear chaotic systems towards stable stationary states or time-periodic orbits . The proposed method mainly consists in a sliding mode-based control design that is extended by an explicit consideration of system energy as basis for both controller design and system stabilization . The control objective is then to regulate the energy with respect to a shaped nominal representation implicitly related to system trajectories . In this paper , we establish some theoretical results to introduce the control design approach referred to as energy based sliding mode control . Then , some capabilities of the proposed approach are illustrated through examples related to the chaotic circuit of Chua
doc_bio_tags: O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I I I O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: stable stationary states energy based sliding mode control global invariant sets
abstractive_keyphrases: three-dimensional nonlinear chaotic systems time-periodic orbits sliding mode-based control chua's circuit