Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The super-twisting-like uniform fixed-time convergent second order Sliding Mode Control (2-SMC) provides fixed-time convergence for the state of a relative degree one system to origin in the presence of matched bounded external disturbances/uncertainties. This controller performance is guaranteed when there are no unmodeled system dynamics. Hover, the mathematical model representing a physical system inevitably have unmodeled dynamics. Due to the presence of unmodeled dynamics, the performance of the uniform fixed-time convergent controller degrades and makes the system state converges to a periodic motion of certain amplitude and certain frequency. , the robustness of dynamically perturbed uniform fixed-time convergent SMC systems is studied and the robustness metrics are proposed in terms of Practical Stability Phase Margin (PSPM) and Practical Stability Gain Margin (PSGM). The tools/algorithms to identify PSPM and PSGM are proposed, which are deduced using Describing Function-Harmonic Balance technique. Theoretical developments are illustrated and validated via simulation results.
['Chandrasekhara Bharath Panathula', 'Antonio Rosales', 'Yuri B. Shtessel', 'Michael Basin']
I am writing a research paper on a idea Robustness metrics for nonlinear uniform fixed-time convergent second order Sliding Mode Control
[{"from": "human", "value": "I am writing a research paper on a idea Robustness metrics for nonlinear uniform fixed-time convergent second order Sliding Mode Control"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The super-twisting-like uniform fixed-time convergent second order Sliding Mode Control (2-SMC) provides fixed-time convergence for the state of a relative degree one system to origin in the presence of matched bounded external disturbances/uncertainties. This controller performance is guaranteed when there are no unmodeled system dynamics. Hover, the mathematical model representing a physical system inevitably have unmodeled dynamics. Due to the presence of unmodeled dynamics, the performance of the uniform fixed-time convergent controller degrades and makes the system state converges to a periodic motion of certain amplitude and certain frequency. , the robustness of dynamically perturbed uniform fixed-time convergent SMC systems is studied and the robustness metrics are proposed in terms of Practical Stability Phase Margin (PSPM) and Practical Stability Gain Margin (PSGM). The tools/algorithms to identify PSPM and PSGM are proposed, which are deduced using Describing Function-Harmonic Balance technique. Theoretical developments are illustrated and validated via simulation results."}]