Effect of closed-loop transfer function pole and zero locations on the transient response of linear control systems

Elgerd, Olle I.; Stephens, William C.

doi:10.1109/tai.1959.6371549

Cited by 3 publications

(1 citation statement)

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“…It is important to note that, when using a PI control in a type one process, it is impossible to eliminate the overshoot of the response in a setpoint step change, the overshoot magnitude being dependent on the PI design specifications. Indeed, although the transfer function in open loop C.s/ Q p 21 .s/ is of high order, and the relationship between the position of the dominant closed-loop poles with the overshoot and with the settling time in a step setpoint change becomes very complicated, and it is necessary to resort to standard curves or tables [28], it is possible to simplify the system and transform it to a second-order one with two real and negative zeros and two poles at the origin (the system pole and the pole introduced by the PI).…”

Section: Proportional Integral Controller Designmentioning

confidence: 99%

Adaptive predictive expert control of levels in large canals for irrigation water distribution

Aguilar

Langarita

Linares³

et al. 2012

Adaptive Control & Signal

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Proportional integral (PI) control is the most frequently used method for controlling water levels in irrigation canals. For design purposes, simplified linear models are typically used to describe the series of pools that, separated by control gates, compose the whole canal. Common models are made by series connection of integrator plus time delay or integrator with time delay plus a zero, these models being obtained from the Saint-Venant equations. However, it is known that hydraulic processes in irrigation canals are strongly nonlinear and present dynamics that are time varying depending on the operating point and the hydraulic conditions of the pool, so that the performance of PI controls may be reduced as the operating point moves far from the nominal design state. This paper presents the application of an adaptive predictive expert control (ADEX) for the distant downstream level control in irrigation canals trying to exploit their adaptive capability to efficiently achieve changes in the setpoint levels and disturbance rejection. Both PI and ADEX controllers are compared in simulation and in real field tests in the control of the end pool of the Canal Imperial de Aragón in Spain.KEY WORDS: predictive control; adaptive predictive control; irrigation canal control; water resources During the last 20 years, a significant number of researchers from different groups, mainly in academic or management centers and research environments related to water, have developed, for this problem, various methods of control in the theoretical context. A state of the art prior to 2000 can be seen in [1,2]. Some significant further studies are summarized below. A robust tuning method for proportional-integral (PI) classical control is presented in [3]. In [4], fractional PI control is applied.

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Section: Proportional Integral Controller Designmentioning

confidence: 99%