Abstract
Conditions for Ensuring Aperiodic Transients in Automatic Control Systems with a PID Controller
Highlights
Using the simple regulators for robust control commonly cannot be successful
W G0 is the sufficient criterion for oscillation transition exception in the control process with the loop elements where is the real poles
Several examples of oscillation transients occur at automatic control systems described by a mathematical model with a cubic characteristic equation were discussed in this paper
Summary
Using the simple regulators for robust control commonly cannot be successful. The need for qualitative transient analysis was first showed by I. Solodovnikov proposed to diagnose the freedom from transient overshoot by frequency methods, which resulted as the necessary and sufficient conditions [2], and sufficient condition for aperiodic transient [3]. The attempts of synthesis is relatively simple PID tunung analytical methods undertaken in [17 - 24]. Aperiodic transient even with the resonant amplitude-frequency response elements in closed feedback loop by using PID controller showed in [24]. The achievement of relatively simple conditions for ensuring aperiodic transients in automatic control systems with a PID controller will be extremely useful for many applications. It is the main goal of the research presented in this paper
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