Lyapunov stability of economically oriented NMPC for cyclic processes

Huang, Rui; Harinath, Eranda; Biegler, Lorenz T.

doi:10.1016/j.jprocont.2011.01.012

Cited by 182 publications

(101 citation statements)

References 11 publications

Supporting

Mentioning

101

Contrasting

Order By: Relevance

“…In order to overcome the possible loss of feasibility due to changing operating patterns caused by the parameters of the cost function or by the demands, two approches following the ideas in [9] and [11] are here proposed to be solved in a one-layer architecture. These schemes integrate in different ways the optimal trajectory problem (6) with the standard EMPC in (9).…”

Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

“…Instead, they are meant to retain feasibility under possible changes of the economic parameters in the cost function and to find new optimal trajectories for the current conditions. To guarantee asymptotic stability to the trajectory obtained in (6), either when using (10) or (11), the results in [9] and [11] can be applied, respectively, considering the error dynamics (regarding the target periodic trajectory) under the assumptions of controllability of the system and the boundedness and convexity of the constraints and cost function involved.…”

Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

“…Moreover, assuming the water demand and the energy price as periodically time-varying signals, this paper uses the results in [9], [11], [15], [20], and adds periodic terminal constraints to the MPC controller developed in [14] to equip it with guarantees of recursive feasibility and convergence. Even when this paper uses a small-scale case study, the proof of concept may be potentially extended to large-scale DWNs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Economic MPC for the management of drinking water networks

Grosso

Ocampo‐Martínez

Puig

et al. 2014

2014 European Control Conference (ECC)

View full text Add to dashboard Cite

Abstract-This paper addresses the management of drinking water networks (DWNs) regarding a multi-objective cost function by means of economically-oriented model predictive control (EMPC) strategies. Specifically, assuming the water demand and the energy price as periodically time-varying signals, this paper shows that the EMPC framework is flexible to enhance the control of DWNs without relying on hierarchical control schemes that require the use of real-time optimisers (RTO) or steady-state target optimisers (SSTO) in an upper layer. Four different MPC strategies are discussed in this paper: a hierarchical two-layer approach, a standard EMPC where the multi-objective cost function is optimised directly, and two different modifications of the latter, which are meant to overcome possible feasibility losses in the presence of changing operating patterns. The discussed schemes are tested and compared by means of a case study taken from a part of the Barcelona DWN.

show abstract

Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Economic MPC for the management of drinking water networks

Grosso

Ocampo‐Martínez

Puig

et al. 2014

2014 European Control Conference (ECC)

View full text Add to dashboard Cite

show abstract

“…To integrate process (dynamic) optimization and control, economic MPC (EMPC), which optimizes a general cost function that represents the process economics instead of a quadratic cost function, has been proposed as a control methodology that may help to enable future manufacturing tasks like demand-driven process operations (e.g., [2,10,3,9]; see, also, the review [8] and the references therein). Recently, significant effort within the control community has focused on (centralized) EMPC.…”

Section: Introductionmentioning

confidence: 99%

Distributed Economic Model Predictive Control of a Catalytic Reactor: Evaluation of Sequential and Iterative Architectures

Anderson

2015

IFAC-PapersOnLine

View full text Add to dashboard Cite

In this work, the development and application of distributed economic model predictive control (DEMPC) methodologies to a catalytic reactor is considered. Specifically, two DEMPC methodologies are designed for sequential and iterative implementation, respectively. The DEMPC architectures are evaluated on the basis of the closed-loop performance and on-line computation time requirements compared to a centralized EMPC approach. For the catalytic reactor considered, DEMPC proves to be a viable option as it is able to give similar closed-loop performance while reducing the on-line computation time requirements relative to a centralized EMPC strategy.ii The thesis of Timothy Leif Anderson is approved.

show abstract

“…Marchetti et al [4] describe NCO tracking in which the gradients defining the necessary conditions are determined from real-time data rather than based on a model. Huang et al [5] and Adetola and Guay [6] incorporate the economic objective directly in the nonlinear MPC. Shead et al [7], Gopalakrishnan et al [8], and Schei et al [9] consider the related state estimation problem.…”

Section: Introductionmentioning

confidence: 99%

Fuel gas blending benchmark for economic performance evaluation of advanced control and state estimation

Ricker¹,

Muller²,

Craig³

2012

Journal of Process Control

View full text Add to dashboard Cite

A simulation of a fuel gas blending process and its measurement system is proposed as a benchmark test case for advanced control and state estimation.The simulation represents an industrial facility and employs a well-established software environment. The objective is to maintain four controlled variables within specified bounds while minimizing an economic performance index. The controlled variables are the fuel gas pressure and three measures of gas quality.Six feed gas flow rates may be adjusted to achieve the objective. Each has a limited availability.The benchmark consists of three reproducible scenarios, each a 46-hour period during which 23 discrete upsets occur and the feed gas compositions vary gradually with time. A benchmark multi-loop feedforward-feedback structure is described, tested, and compared to an estimate of optimal performance. The operating cost provided by the benchmark controller is from 1.19 to 1.71 times higher than the estimated minimum.Readers are challenged to download the simulation model, benchmark controller and estimated optimal performance from the URL given in this paper, and to devise case studies of advanced state estimation and control strategies * Corresponding author.

show abstract

Lyapunov stability of economically oriented NMPC for cyclic processes

Cited by 182 publications

References 11 publications

Economic MPC for the management of drinking water networks

Economic MPC for the management of drinking water networks

Distributed Economic Model Predictive Control of a Catalytic Reactor: Evaluation of Sequential and Iterative Architectures

Fuel gas blending benchmark for economic performance evaluation of advanced control and state estimation

Contact Info

Product

Resources

About