Fractional-Order PID Control

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Resource Overview

Fractional-order PID controllers introduce two additional tunable parameters compared to standard PID controllers, enabling control functionalities unachievable by conventional PID while delivering superior precision and effectiveness.

Detailed Documentation

When implementing fractional-order PID controllers, we introduce two extra tunable parameters beyond those available in standard PID controllers. This enhancement allows us to achieve control capabilities that are impossible with conventional PID configurations. Furthermore, fractional-order PID controllers provide significantly improved precision and control effectiveness. In practice, these controllers are typically implemented using fractional calculus operators, where the differentiation and integration orders can be non-integer values. Common implementation approaches involve approximations through Oustaloup filters or numerical methods like Grünwald–Letnikov differentiation, which can be coded using transfer function representations or discrete-time difference equations.

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