Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Aiming at clarifying recent advances on disturbance rejection,  analyze a class of non-differentiable disturbances.  expose some subtle but fundamental differences beten the fractional order (FO) and integer order (IO) integral sliding modes (ISM) to control a general class of nonlinear dynamical systems. This comparative study suggests that our proposed FOISM outperforms the extremely popular IOISM scheme when the dynamical system is subject to Holder continuous but not necessarily differentiable disturbances. The drawbacks and advantages of the FOISM are discussed, including its capacity to reject Holder disturbances with chattering alleviation. It is shown that the proposed method provides a uniform continuous control signal assuring robustness and invariance for any initial condition. Simulation results reveal the structural differences of these schemes, showing the viability of our proposal.
['Aldo-Jonathan Muñoz-Vázquez', 'Vicente Parra-Vega', 'A. Sánchez-Orta', 'Pedro Castillo', 'Rogelio Lozano']
I am writing a research paper on a idea Generalized order integral sliding mode control for non-differentiable disturbance rejection: A comparative study
[{"from": "human", "value": "I am writing a research paper on a idea Generalized order integral sliding mode control for non-differentiable disturbance rejection: A comparative study"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Aiming at clarifying recent advances on disturbance rejection,  analyze a class of non-differentiable disturbances.  expose some subtle but fundamental differences beten the fractional order (FO) and integer order (IO) integral sliding modes (ISM) to control a general class of nonlinear dynamical systems. This comparative study suggests that our proposed FOISM outperforms the extremely popular IOISM scheme when the dynamical system is subject to Holder continuous but not necessarily differentiable disturbances. The drawbacks and advantages of the FOISM are discussed, including its capacity to reject Holder disturbances with chattering alleviation. It is shown that the proposed method provides a uniform continuous control signal assuring robustness and invariance for any initial condition. Simulation results reveal the structural differences of these schemes, showing the viability of our proposal."}]