This book delves deep into fractional-order control and fractional-order sliding mode techniques, addressing key challenges in the control design of linear motor systems and control for the deployment of space tethered systems. Innovative strategies such as adaptive fractional-order sliding mode control and fractional-order fuzzy sliding mode control schemes are devised to enhance system performance. Divided into three parts, it covers a brief view of fractional-order control strength in modeling and control, fractional-order sliding mode control of linear motor systems, and fractional-order sliding mode control for the deployment of space tethered systems. Each chapter offers valuable insights and solutions. Simulations and experiments validate the efficacy of these approaches, making this book essential for researchers, engineers, and practitioners in control systems and aerospace engineering.