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Thus, one can say that reduced order controller is only suitable for simplicity in the implementation and a tradeoff should be considered.
Simulated results show that the fractional order controller is more robust than the PI and the PID controllers when the gain of the plant changes but preserving the robustness when time delay varies.
If that small margin does not include a gain that can produce a closed system with satisfactory performance, then a higher order controller is called for.
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Finally, validity of the fractional order controller and the advantages over an integer order controller are examined by numerical simulation.
Using this model, three controllers' viz., PID controller, Internal model controller and Fractional order controller are developed and their responses are compared.
Then, sufficient conditions for the design of a high order controller are given, based on the Lyapunov analysis, that guarantees the desired stability properties.
In this paper, the problem of stabilizing uncertain systems with time delay by low order controllers is considered.
The design of H∞ reduced order controllers is known to be a non convex optimization problem for which no generic solution exists.
Interest in such robust fractional order controllers is justified by the fact that dynamical parameters of irrigation main canal pools may change drastically according to their operational regimes.
The main advantage of the fractional order controllers is that the increase in the number of parameters in the controller allows an increase in the number of control specifications that can be met.
The interest of such fractional order controllers is justified by the fact that dynamical parameters of main irrigation canal pools may change drastically in function of its operation regimes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com