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Experimental results show a good performance with 17 ms switching speed and a maximum overshoot of only 3%.
Then we propose a new controller design scheme based on a prescribed performance bound (PPB) which characterizes the convergence rate and maximum overshoot of the tracking error.
Low-pass filters show a maximum overshoot of 8% and high-pass filters show a maximum downwards overshoot of approximately 35%.
In order to formulate and solve this prescribed performance tracking problem on SE(3), we first select a suitable tracking error vector and prescribed performance bound which characterizes the minimum convergence rate and maximum overshoot of the tracking error vector.
While the robust performance is satisfied; with a maximum overshoot of 14% and steady state error not greater than 0.5%; the system bandwidth is limited to maintain the system robustness.
The underlying theory evolves from the stability conditions developed in the "Equivalent Subsystems Method" approach and applies closed-loop performance specification based on the relationship between phase margins of equivalent subsystems and maximum overshoot of the full system.
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Further it is observed that, with the increase in penetration level of the DFIG wind farm, there is a significant increase in the maximum overshoots of the P dg.
Also it could dramatically improve the control parameters of maximum overshoot and landing time of state variables system.
From the experimental results, it has been inferred that supply pressure has mostly influent nature on determining maximum overshoot and integral of time absolute error (ITAE).
The devised methodology consists of synthesizing an appropriately smooth output function and then designing both the controller and the reference input function in such a way that the worst-case settling-time of the set-point regulation is minimized, subject to constraints on the control variable and on the maximum overshoot and undershoot of the output.
The analysis shows the superiority of I-TD controller over TID controller in terms of maximum overshoot, gain margin and phase margin.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com