Abstract: Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical ...

Abstract: Our topic is the rational approximation of fractional order systems under Riemann–Liouville definition. This is a venerable, vast, fundamental area which attracts ongoing attention in coming years. In this work, the multiple ...

Abstract: A typical phenomenon of the fractional order system is presented to describe the initial value problem from a brand-new perspective in this paper. Several simulation examples are given to introduce the named aberration ...

Abstract: The primary work of this paper is to investigate some potential properties of Grünwald–Letnikov discrete fractional calculus. By employing a concise and convenient description, this paper not only establishes excellent ...

Abstract: A novel characteristic model-based discrete adaptive sliding mode control (SMC) scheme is proposed for vibration attenuation of the space frame. First, this paper establishes a characteristic model as real time model for ...