Output Feedback Finite-Time Stabilization of Systems Subject to Hlder Disturbances via Continuous Fractional Sliding Modes Academic Article uri icon


  • The problem of designing a continuous control to guarantee finite-time tracking based on output feedback for a system subject to a Hlder disturbance has remained elusive. The main difficulty stems from the fact that such disturbance stands for a function that is continuous but not necessarily differentiable in any integer-order sense, yet it is fractional-order differentiable. This problem imposes a formidable challenge of practical interest in engineering because (i) it is common that only partial access to the state is available and, then, output feedback is needed; (ii) such disturbances are present in more realistic applications, suggesting a fractional-order controller; and (iii) continuous robust control is a must in several control applications. Consequently, these stringent requirements demand a sound mathematical framework for designing a solution to this control problem. To estimate the full state in finite-time, a high-order sliding mode-based differentiator is considered. Then, a continuous fractional differintegral sliding mode is proposed to reject Hlder disturbances, as well as for uncertainties and unmodeled dynamics. Finally, a homogeneous closed-loop system is enforced by means of a continuous nominal control, assuring finite-time convergence. Numerical simulations are presented to show the reliability of the proposed method.

published proceedings


author list (cited authors)

  • Munoz-Vazquez, A., Parra-Vega, V., Sanchez-Orta, A., & Romero-Galvan, G.

citation count

  • 5

complete list of authors

  • Muñoz-Vázquez, Aldo-Jonathan||Parra-Vega, Vicente||Sánchez-Orta, Anand||Romero-Galván, Gerardo

publication date

  • January 2017