An Improved Analytical PID Controller Design for Non-Monotonic Phase LTI Systems


An improved technique of analytical design of proportional-integral-derivative (PID) controllers in frequency-domain for non-monotonically decreasing part systems by suggests that of gain crossover frequency and part margin specifications is presented during this brief. The proposed technique guarantees a minimum section margin inside the required bandwidth, assuring higher performance to step response for the closed-loop system. In order to realize this feature, it is necessary to redefine the concept of part margin when the uncontrolled method presents a non-monotonically decreasing phase within the bandwidth. Hence, the section margin can still be used as a smart robustness indicator and allows the Bode stability criterion to be used for monotonic minimum-part or non-monotonic minimum-section systems.

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