2014
DOI: 10.1002/asjc.901
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A Novel Multi‐Step Model Predictive Control for Multi‐Input Systems

Abstract: In this paper, a novel control scheme, known as multi-step model predictive control (MPC), is presented for multi-input systems. To reduce computational complexity, only one or several control inputs are optimized at each time interval. A multi-step MPC scheme for nominal multi-input systems is presented. A set invariance condition for polytopic uncertain systems is identified, and the invariant set is determined by solving a linear matrix inequality optimisation problem. Based on the set invariance condition,… Show more

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Cited by 8 publications
(6 citation statements)
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“…To reduce the computational demand of the method, a dual‐mode approach is suggested to transfer most of the needed computations to the offline part . The other remedy to obtain a less computationally complex design is to remove the inner iterations in the cooperative scheme and optimize only one or some of the inputs at each sample time …”
Section: Introductionmentioning
confidence: 99%
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“…To reduce the computational demand of the method, a dual‐mode approach is suggested to transfer most of the needed computations to the offline part . The other remedy to obtain a less computationally complex design is to remove the inner iterations in the cooperative scheme and optimize only one or some of the inputs at each sample time …”
Section: Introductionmentioning
confidence: 99%
“…24 The other remedy to obtain a less computationally complex design is to remove the inner iterations in the cooperative scheme and optimize only one or some of the inputs at each sample time. 25 This paper develops an LMI-based CDMPC for constrained Lipschitz nonlinear systems. The control input for each subsystem is computed in parallel, exploiting all states of the system, while minimizing a copy of the global infinite horizon objective function.…”
Section: Introductionmentioning
confidence: 99%
“…Another effective method is networked predictive control (NPC), which can actively compensate for the delay and packet dropouts . The main idea of predictive control is to predict the future control inputs of the system, and then select the corresponding control input according to the current information of the delay and packet dropouts .…”
Section: Introductionmentioning
confidence: 99%
“…Model Predictive Control (MPC), as one of the advanced control methods [1,2], has made considerable applications in complex industrial processes such as oil refining, chemical, metallurgical, power [3,4], machining processes [5][6][7], and complex systems such as artificial pancreas (AP) systems [8]. It is noted that the MPC algorithms can meet design requirements with good performance during the early operation period.…”
Section: Introductionmentioning
confidence: 99%