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Discrete‐time sector based hands‐off control for nonlinear system

Abstract : This article presents a hands‐off control design for discrete‐time nonlinear system with a special type of nonlinear sector termed as “discrete‐time urn:x-wiley:rnc:media:rnc4888:rnc4888-math-0004 sector.” The design method to define the boundary of a discrete‐time urn:x-wiley:rnc:media:rnc4888:rnc4888-math-0005 sector is done with control‐Lyapunov function. The generalization of nonlinear system is viewed in the perspective of a comparison function. By means of a proposed sector, a switching control is designed such that no control action is experienced inside the sector thus, saving unnecessary control efforts. However, to study the robustness for discrete‐time system, a hands‐off control is modified to ensure the monotonic decrease in the energy of the system. Finally, the proposed approach is verified with the simulation results.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02908385
Contributor : Sorin Olaru <>
Submitted on : Tuesday, July 28, 2020 - 11:37:20 PM
Last modification on : Wednesday, September 16, 2020 - 4:48:39 PM

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Ankit Sachan, Shyam Kamal, Sorin Olaru, Devender Singh, Xiaogang Xiong. Discrete‐time sector based hands‐off control for nonlinear system. International Journal of Robust and Nonlinear Control, Wiley, 2020, 30 (6), pp.2443-2460. ⟨10.1002/rnc.4888⟩. ⟨hal-02908385⟩

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