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“…Possibilities include stabilisation with linear state feedback (the individual ARMA systems can be expressed in controllable canonical form to design their corresponding state-space controllers), regulation or tracking a time-varying desired output response signal by a PID controller or more generally inverse error dynamics controller. In this section, we will focus on the latter, inverse error dynamics controller scheme as it includes the PID controllers [50][51][52][53] and the exact tracking control [3,54], commonly utilised in practice.…”
Section: Inverse Error Dynamics Controller Designmentioning
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rupbmjkragerfmgwileyiopcupepmcmbcthiemesagefrontiersapsiucrarxivemeralduhksmucshluniversity-of-gavle
“…Possibilities include stabilisation with linear state feedback (the individual ARMA systems can be expressed in controllable canonical form to design their corresponding state-space controllers), regulation or tracking a time-varying desired output response signal by a PID controller or more generally inverse error dynamics controller. In this section, we will focus on the latter, inverse error dynamics controller scheme as it includes the PID controllers [50][51][52][53] and the exact tracking control [3,54], commonly utilised in practice.…”
Section: Inverse Error Dynamics Controller Designmentioning
“…The literature has an abundance of PID design methodologies for linear SISO systems including direct pole-placement techniques and optimal coefficient adjustment according to some criteria [30], [33]. In the case of MIMO systems, where the system identification phase is carried out as described in the previous sections, one can resort to MIMO PID design techniques [34].…”
Section: Local Linear Pid Controller Designmentioning
“…The PID controller design is carried out using the standard pole-placement technique [30], where the poles of the tracking error obey the equation…”
Section: Local Linear Pid Controller Designmentioning
“…There has been considerable research devoted to the roll speed and roll gap control using different techniques, varying from classical PID control, state space based modern control, to neurofuzzy intelligent control. [1][2][3] Although the basic mechanisms behind the roll speed and roll gap dynamics are well understood, the accurate prediction and control of the roll speed and the roll gap behaviour remain a challenge. The main reason is the complicated interactions which exist during a rolling mill operation.…”
Section: Introductionmentioning