Multi‐rate model predictive control algorithm for systems with fast‐slow dynamics

Zhang, Xinglong; Farina, Marcello; Spinelli, Stefano; Scattolini, Riccardo

doi:10.1049/iet-cta.2018.5220

Cited by 11 publications

(16 citation statements)

References 23 publications

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“…The lower level is a dynamic MPC that operates on each individual system to guarantee that the process constraints are fulfilled, with a faster sampling time. For the dynamic control of the sub-system, specific controllers can be designed for the different operating modes: a linear MPC is implemented for normal production modes (see [5]; or [6] where multi-rate approach is adopted), while to address the nonlinearity of the system in the start-up phase, a linear parameter-varying MPC approach [5] is proposed for the optimization of a nonlinear system subjected to hard constraints. This method, exploiting the linearization of the system along the predicted trajec- tory, is able to address nonlinear system with the advantage of the computational time with respect to NMPC strategy, as an approximation of the SQP optimization stopped at the first iteration.…”

Section: Unit Commitment and Control Of Generation Unitsmentioning

confidence: 99%

Optimal Management and Control of Smart Thermal-Energy Grids

Spinelli

2022

Special Topics in Information Technology

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This work deals with the development of novel algorithms and methodologies for the optimal management and control of thermal and electrical energy units operating in a networked configuration. The aim of the work is to foster the creation of a smart thermal-energy grid (smart-TEG), by providing supporting tools for the modeling of subsystems and their optimal control and coordination. A hierarchical scheme is proposed to optimally address the management and control issues of the smart-TEG. Different methods are adopted to deal with the features of the specific generation units involved, e.g., multi-rate MPC approaches, or linear parameter-varying strategies for managing subsystem nonlinearity. An advanced scheme based on ensemble model is also conceived for a network of homogeneous units operating in parallel. Moreover, a distributed optimization algorithm for the high-level unit commitment problem is proposed to provide a robust, flexible and scalable scheme.

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Section: Unit Commitment and Control Of Generation Unitsmentioning

confidence: 99%

Optimal Management and Control of Smart Thermal-Energy Grids

Spinelli

2022

Special Topics in Information Technology

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“…This creates a major correlation/coupling between the decomposed subsystems sample rate and the super stepping operation [87][88][89]. Several research works compare system performance under fixed versus multi-rate control systems where the later offers higher degree of freedom that leads to enhance the system performance and decrease the settling time [89][90][91][92][93].…”

Section: Proposed Sf-based Mppt Techniquementioning

confidence: 99%

“…Several research works compare system performance under fixed versus multi‐rate control systems where the later offers higher degree of freedom that leads to enhance the system performance and decrease the settling time [89–93].…”

Section: Proposed Mpp Tracing Techniquementioning

confidence: 99%

High performance state‐flow based MPPT technique for micro WECS

Maher¹,

Abdelsalam²,

Dessouky³

et al. 2019

IET Renewable Power Generation

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Wind energy conversion systems (WECSs) accommodate promising position in global energy market. Due to the dependency of the extracted wind power on various environmental aspects, as wind speed, the relation between the wind power and the turbine speed is highly non-linear. Hence, maximum power point tracking (MPPT) techniques are mandatory. Conventional perturb and observe MPPT technique suffers well-known oscillation-settling time trade-off. In this study, a stateflow based wind MPPT technique is proposed offering two degree of freedom, namely dedicated sample time and superstepping as WECS is considered to be multi-rate multi-input single-output control system. In addition to being graphically userfriendly and written-code-free, the presented technique offers enhanced operation, minimal oscillations and fast response. Simulations, in addition to experimental results, covering various operating conditions are presented to advocate the effectiveness of the proposed technique.

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“…Note that, a similar problem has been addressed in [28], however the control scheme described in this paper shows a significant improvement for the following reasons: i) The algorithm in [28] is proposed for system described by impulse responses, with a special focus on the viewpoint of application, while this paper presents the novel solutions on the theoretical developments based on a state-space formulation, with verified closed-loop recursive feasibility and stability. ii) Due to the usage of impulse response representation, the concerned system in [28] is assumed to be strictly stable. In this case, for examples that have poles on the unitary disk, a stable feedback control law must be designed primarily (see the Section V).…”

Section: Introductionmentioning

confidence: 97%

A Dual-level Model Predictive Control Scheme for Multi-timescale Dynamical Systems--Extended Version

Zhang¹,

Jiang²,

Yu³

et al. 2019

Preprint

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This paper presents a dual-level model predictive control (MPC) scheme for two-timescale dynamical systems subject to input and state constraints, with the scope to enforce closed-loop separable dynamics. A novel dual-level MPC (i.e., D-MPC) algorithm is initially presented. At the high level of the control structure, a stabilizing MPC regulator minimizes the deviation of the output and its setpoint at a slow time scale. A shrinking horizon MPC is designed at the low level to refine the computed control actions in the basic time scale so as to generate satisfactory short-term transient of the output associated with the "fast" dynamics. To further improve the closed-loop control performance, an incremental D-MPC algorithm is also proposed, via introducing at the high level of the D-MPC an integral action and an explicit design of the "fast" output reference. The proposed algorithms are not only suitable for systems characterized by different dynamics, but also capable of imposing separable closed-loop performance for dynamics that are nonseparable and strongly coupled. The recursive feasibility and convergence properties of the D-MPC and incremental D-MPC closed-loop control systems are proven. The simulation results concerning the use of the proposed approaches for the control of a Boiler Turbine (BT) system, including the comparisons with a decentralized PID controller and a multirate MPC, are reported to show the effectiveness of the proposed algorithms in imposing closed-loop separable dynamics and the advantages in generating satisfactory control performance.

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Multi‐rate model predictive control algorithm for systems with fast‐slow dynamics

Cited by 11 publications

References 23 publications

Optimal Management and Control of Smart Thermal-Energy Grids

Optimal Management and Control of Smart Thermal-Energy Grids

High performance state‐flow based MPPT technique for micro WECS

A Dual-level Model Predictive Control Scheme for Multi-timescale Dynamical Systems--Extended Version

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