2014 American Control Conference 2014
DOI: 10.1109/acc.2014.6858951
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Generalized predictive control tuning by controller matching

Abstract: Abstract-The tuning of state-space model predictive control (MPC) based on reverse engineering has been investigated in literature using the inverse optimality problem ( [1] and [2]). The aim of the inverse optimality is to find the tuning parameters of MPC to obtain the same behavior as an arbitrary lineartime-invariant (LTI) controller (favorite controller). This requires equal control horizon and prediction horizon, and loop-shifting is often used to handle non-strictly-proper favorite controllers. This pap… Show more

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Cited by 12 publications
(9 citation statements)
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“…It tackles the output error in the case of steady-state at the cost of a higher computational demand. An alternative to the DMC approach is represented by the Generalized Predictive Control (GPC), adopted in the study by Ref (Zambelli et al, 2012;Errouissi et al, 2016;Tran et al, 2015;Brown et al, 2013). This is a robust adaptive control algorithm but it presents strong limitations in dealing with non-linear systems.…”
Section: Introductionmentioning
confidence: 99%
“…It tackles the output error in the case of steady-state at the cost of a higher computational demand. An alternative to the DMC approach is represented by the Generalized Predictive Control (GPC), adopted in the study by Ref (Zambelli et al, 2012;Errouissi et al, 2016;Tran et al, 2015;Brown et al, 2013). This is a robust adaptive control algorithm but it presents strong limitations in dealing with non-linear systems.…”
Section: Introductionmentioning
confidence: 99%
“…This can be done "by hand" based on intuition, or by gridding a limited number of parameters and analysing simulations (the approach in [17]), or using global optimisation routines to tune the cost weights to minimise a high-level heuristic functions evaluated over closed-loop simulations (as in [23]). If a good linear control law is already known and the requirement is simply to "upgrade" it with constraint handling, controller matching or reverse-engineering can be applied [50]- [52]. The VH examples use T x s , and are tuned so that convergence happens in approximately half an orbit.…”
Section: Cost Function Structure and Tuningmentioning
confidence: 99%
“…Hartley and Maciejowski [9] discussed the condition where all the states of the system are not available, and the loop-shaping technique is used to overcome the drawbacks of the earlier proposed controller-matching technique of MPC tuning. Tran et al [10] have tried to achieve exact matching of GPC with the LTI controller which needs to satisfy a certain rank condition. The optimisation problem for the tuning of the weighting matrix is complicated for active constraints.…”
Section: Introductionmentioning
confidence: 99%