An MPC approach to the design of two-layer hierarchical control systems

Picasso, Bruno; Vito, Daniele De; Scattolini, Riccardo; Colaneri, Patrizio

doi:10.1016/j.automatica.2010.02.013

Cited by 76 publications

(43 citation statements)

References 19 publications

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“…Recently, Kalabić and Kolmanovsky [12] proposed a methodology for the design of reference governors for constrained large-scale linear systems. Two-layer hierarchical control systems are considered in the majority of relevant publications (see [14] and references therein).…”

Section: Motivation and Backgroundmentioning

confidence: 99%

“…Multirate control schemes are quite popular as they increase the flexibility in the quest for the desired properties (stability, optimality, constraints satisfaction) [13][14][15]. A multi-rate control approach is adopted in this paper with a quantification of the effect that the ratio of the two sampling rates has on the control of the system.…”

Section: Motivation and Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

Decentralised Hierarchical Multi-rate Control of Large-Scale Drinking Water Networks

Sampathirao

Sopasakis

Bemporad

2016

Critical Information Infrastructures Security

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Abstract. We propose a decentralised hierarchical multi-rate control scheme for the control of large-scale systems with state and input constraints. The large-scale system is partitioned into sub-systems each one of which is locally controlled by a stabilizing linear controller which does not account for the prescribed constraints. A higher-level controller commands reference signals at a lower uniform sampling frequency so as to enforce linear constraints on the process variables. Worst-case subsystem interactions are modeled and accounted for in a robust manner. By optimally constraining the magnitude and rate of variation of the reference signals to each lower-level controller we prove that closed-loop stability is preserved and the fulfillment of the prescribed constraints is guaranteed. We apply the proposed methodology for the decentralised control of a quadraple-tank system, known as Johansson's system and we compare it to a centralised control approach.

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Section: Motivation and Backgroundmentioning

confidence: 99%

Section: Motivation and Backgroundmentioning

confidence: 99%

Decentralised Hierarchical Multi-rate Control of Large-Scale Drinking Water Networks

Sampathirao

Sopasakis

Bemporad

2016

Critical Information Infrastructures Security

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“…The hierarchical control is an effective method in the breaking down and coordinated control of a large system [6]. Practices show that the robustness of controller based on linearized model is not ideal under strong interference, and it is difficult to calm the system [13]. So a hierarchical control model was designed in this paper.…”

Section: Optimized Hierarchical Control Modelmentioning

confidence: 99%

Research on Optimized Control Model of Freeway Based on Dynamic Traffic Demand Estimation

Zhu

2014

Advances in Mechanical Engineering

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According to the estimation information of dynamic traffic demands, a novel optimal control model of freeway was established on the basis of the hierarchical concept. There are four control modules in this model. The OD prediction module predicts the total traffic demands in a long time and determines the upper bound of the future queuing length in advance; the global optimal control module predicts the future traffic state and establishes the coordination constraints for each ramp in the network; the traffic demand estimation module estimates the real-time traffic conditions for each ramp; the local adaptive control module regulates ramp metering rate according to the estimated information of the real-time traffic conditions and the results optimized by the global optimal control module. The simulation results show that this control system is of a good dynamic performance. It coordinates the benefits of various ramps and optimizes the overall performance of the freeway network.

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“…Since power systems are multi-variable and subject to constraints, and future reference estimates are often known in advance, e.g., from 24-hour power consumption traces 1 , weather forecasts, etc., a natural choice for the top-level controller will in most case be some sort of model-predictive controller (MPC) -see for instance Rossiter (2003), Maciejowski (2002), or Picasso et al (2010. Unfortunately, the computational complexity of traditional MPC scales quite poorly with the number of states in the problem (O(n 3 )), see e.g., Edlund et al (2009)).…”

Section: Introductionmentioning

confidence: 99%

Hierarchical Control for Smart Grids

Trangbaek

Bendtsen

Stoustrup

2011

IFAC Proceedings Volumes

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This paper deals with hierarchical model predictive control (MPC) of smart grid systems. The design consists of a high level MPC controller, a second level of so-called aggregators, which reduces the computational and communication-related load on the high-level control, and a lower level of autonomous consumers. The control system is tasked with balancing electric power production and consumption within the smart grid, and makes active use of the flexibility of a large number of power producing and/or power consuming units. The objective is to accommodate the load variation on the grid, arising on one hand from varying consumption, and on the other hand by natural variations in power production e.g. from wind turbines. The high-level MPC problem is solved using quadratic optimisation, while the aggregator level can either involve quadratic optimisation or simple sorting-based min-max solutions. In this paper we compare the performance and computational complexity of these two solutions and find that the performance of the two algorithms are very similar, whereas the sorting-based algorithm is much faster than the quadratic optimisation-based algorithm, thus allowing to handle vastly larger numbers of consumers.

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An MPC approach to the design of two-layer hierarchical control systems

Cited by 76 publications

References 19 publications

Decentralised Hierarchical Multi-rate Control of Large-Scale Drinking Water Networks

Decentralised Hierarchical Multi-rate Control of Large-Scale Drinking Water Networks

Research on Optimized Control Model of Freeway Based on Dynamic Traffic Demand Estimation

Hierarchical Control for Smart Grids

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