Control of discrete time systems based on recurrent Super-Twisting-like algorithm. (September 2016)

• Record Type: Journal Article
• Authors: Salgado, I.; Kamal, S.; Bandyopadhyay, B.; Chairez, I.; Fridman, L.
• Is Part Of: ISA transactions. Volume 64(2016:Sep.)
• Page Start: 47
• Page End: 55
• Publication Date: 2016-09
• Subjects: Sliding mode control -- Discrete-time super twisting algorithm -- Sliding mode differentiator -- Electro-mechanical systems; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2016.04.024
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: Most of the research in sliding mode theory has been carried out to in continuous time to solve the estimation and control problems. However, in discrete time, the results in high order sliding modes have been less developed. In this paper, a discrete time super-twisting-like algorithm (DSTA) was proposed to solve the problems of control and state estimation. The stability proof was developed in terms of the discrete time Lyapunov approach and the linear matrix inequalities theory. The system trajectories were ultimately bounded inside a small region dependent on the sampling period. Simulation results tested the DSTA. The DSTA was applied as a controller for a Furuta pendulum and for a DC motor supplied by a DSTA signal differentiator. Abstract : Highlights: A new control method based on the discrete super twisting algorithm is proposed. The method uses the super twisting method as differentiator and controller. The Lyapunov technique was used to prove the ultimate boundedness of the state trajectories. Two simulation systems were used to prove the workability of the method proposed in this study.