Abstract
This chapter discusses an algorithm to provide arbitrary-order fixed-time convergent SMC design. Through numerical simulation and comparative study, it is shown that in the proposed algorithm, the convergence speed does not depend on the initial condition. Moreover, it is also evident from the simulations that a higher control effort will be required by achieving so and is discussed thoroughly in the chapter, leading to a trade-off between the control effort and convergence speed. Subsequently, a novel distributed algorithm is developed for achieving second-order consensus in the multi-agent systems by designing a full-order fixed-time convergent sliding surface as an application to the proposed algorithm with suitable numerical simulations.
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Mishra, J., Yu, X. (2021). On Fixed-Time Convergent Sliding Mode Control Design and Applications. In: Mehta, A., Bandyopadhyay, B. (eds) Emerging Trends in Sliding Mode Control. Studies in Systems, Decision and Control, vol 318. Springer, Singapore. https://doi.org/10.1007/978-981-15-8613-2_9
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