Determination of the domain of attraction and regions of guaranteed cost for robust model predictive controllers based on linear matrix inequalities

Rossi, Fernanda Quelho; Waschburger, Ronaldo; Galvão, Roberto Kawakami Harrop

doi:10.1109/control.2012.6334765

Cited by 3 publications

(3 citation statements)

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“…D ⊂ R can be defined as the set of state vectors ∈ R for which P( ) is feasible, with optimal cost * being smaller or equal to a given bound > 0. This region is convex and symmetric about the origin, as demonstrated in [34].…”

Section: Regions Of Guaranteed Cost a Region Of Guaranteed Costmentioning

confidence: 79%

“…An extreme point of D along the direction of a given vector ∈ R can be obtained by solving the following SDP problem [34]:…”

Section: Regions Of Guaranteed Cost a Region Of Guaranteed Costmentioning

confidence: 99%

“…In order to reduce the overshoot and settling time of the transient response, an integrator resetting procedure is employed [33]. An improved resetting criterion is formulated herein, by using the concept of regions of guaranteed cost [34].…”

Section: Introductionmentioning

confidence: 99%

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Robust Predictive Control of Water Level in an Experimental Pilot Plant with Uncertain Input Delay

Rossi¹,

Galvão

2014

Mathematical Problems in Engineering

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This paper is concerned with the predictive control of water level in an experimental pilot plant, in the presence of input constraints and uncertain time delays. Robustness is achieved by casting the delay uncertainty into a polytopic form and using a predictive control formulation based on linear matrix inequalities. Integral action is introduced into the controller to ensure offset-free tracking of step changes in the setpoint. Moreover, an integrator resetting procedure based on the concept of regions of guaranteed cost is proposed to improve the resulting transient response. The results show that the introduction of robustness into the predictive control formulation is indeed of value to avoid closed-loop instability in the presence of time delays. In addition, the integrator resetting procedure was found to provide substantial performance improvements in terms of overshoot and settling time.

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Section: Regions Of Guaranteed Cost a Region Of Guaranteed Costmentioning

confidence: 79%

“…An extreme point of D along the direction of a given vector ∈ R can be obtained by solving the following SDP problem [34]:…”

Section: Regions Of Guaranteed Cost a Region Of Guaranteed Costmentioning

confidence: 99%