Integrator Delay Zero Model for Design of Upstream Water-Level Controllers

Design of PI Controllers for Irrigation Canals Based on Linear Matrix Inequalities

“…Therefore, PIF methods are outperformed by LMI methods. Also, considering only the set of the four PIF methods, our results confirm the analysis performed in [51]: PIF method 4 provides the best results. Indeed, some of its indicator performance values are relatively close to the ones of LMI.…”

“…The results obtained from the simulation performed in the software of Sobek are presented in Figure 2 for the three LMI methods, and in Figure 3 for the four PIF methods [51]. All of them represent the water level errors, X (m), depicted at each time sample (T s = 4 min).…”

“…In summary, the designed LMI methods outperform the PIF given in [51], with LMI method 3 being the best.…”

“…Furthermore, the methods presented in [51] are also considered to assess the three proposed controllers. These methods consist of a set of four proportional-integral filtered (PIF) controllers.…”

“…The four different tuning methods exposed are all based on a PIF controller for each pool determined independently with the resonance peak height based on the canal pool celerity, but each of them includes a different additional element [51]:…”