Anti-windup scheme-based control for fractional-order systems subject to actuator and sensor saturation

Abstract

This paper addresses the problem of dissipative-based stabilization for fractional-order nonlinear control systems with uncertainties, time-delay, external disturbances, actuator faults, actuator and sensor saturations. Specifically, a non-fragile reliable dynamic output feedback controller is designed for the purpose of stabilization of the addressed system. Due to the effect of saturation phenomena occurring in both the actuator and sensor, the anti-windup loops framed with the help of the observer design are incorporated into the controller design. Some sufficient conditions are formulated in terms of linear matrix inequalities by choosing a suitable Lyapunov function thereby assuring the dissipative-based stabilization. The derived results are thus validated by two numerical examples including the practical model of two-stage chemical reactor.

Keywords:

• Fractional-order nonlinear control systems
• dynamic output feedback control
• actuator and sensor saturation
• uncertainties
• dissipative performance

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

Additional information

Funding

This work of S. Sweetha was financially supported by Department of Science and Technology, Government of India through DST-INSPIRE Research Fellowship with sanction No. DST/INSPIRE FELLOWSHIP/2018/IF180599.