Evaluation of gain scheduled predictive control in a nonlinear MIMO model of a hydropower station

Muñóz-Hernández, Germán Ardul; Graciós-Marin, C.A.; Jones, D.; Mansoor, Sumreena; Guerrero-Castellanos, J.F.; Portilla-Flores, Edgar Alfredo

doi:10.1016/j.ijepes.2014.10.008

Cited by 14 publications

(12 citation statements)

References 17 publications

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“…The switched system builds a bridge between linear systems and complex uncertain systems, which make it possible to extend the abundant linear control theories to nonlinear systems effectively. The equilibrium points' linearization approach is a widely used nonlinear model describing method in engineering applications (see [3,14,15,21]). Without loss of generality, suppose that the nonlinear model concerned in this paper can be linearized on equilibrium points; then a set of linear subsystems are obtained by linearization method and the dynamics of the original nonlinear system can be described by a linear switched system which consists of different equilibrium points.…”

Section: Model Descriptionmentioning

confidence: 99%

“…All equilibrium points within the two-dimensional linear state space are divided into regions according to the similar dynamics, and each region corresponds to one polytopic subsystem (PS). For each PS, referring to the gain scheduling approach (see [15]), the nonequilibrium point dynamics is described by dynamical weighting through several adjacent equilibrium points. For the whole state space, the system dynamics can be viewed as a linear switching between different PSs.…”

Section: Model Descriptionmentioning

confidence: 99%

“…Consider system (13) and let 0 < < 1, > −1, and > 0, ∀ ∈ Γ be given constants. Let = √ (1 − ); if there is existence of matrices > 0, ∈ Ω , and ∀ ∈ Γ, such that the two inequalities, (26) and has a weighted 2 performance = max{ }, ∀ ∈ Γ defined in (15). Consider…”

Section: Stability Analysis and Controllermentioning

confidence: 99%

“…Over last decades, switched system approaches for nonlinear systems have been studied intensively, and significant achievements have been obtained (see [12,[14][15][16][17][18][19]). In [12], a multiple Lyapunov function control method is presented for a broad class of switched nonlinear systems with input constraints.…”

Section: Introductionmentioning

confidence: 99%

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Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

Dong

Wang

2015

Mathematical Problems in Engineering

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This paper is concerned with the robust fault-tolerant tracking control problem for networked control system (NCS). Firstly, considering the locally overlapped switching law widely existed in engineering applications, the NCS is modeled as a locally overlapped switched polytopic system to reduce designing conservatism and solving complexity. Then, switched parameter dependent fault-tolerant tracking controllers are constructed to deal with the asynchronous switching phenomenon caused by the updating delays of the switching signals and weighted coefficients. Additionally, the global uniform asymptotic stability in the mean (GUAS-M) and desired weightedl2performance are guaranteed by combining the switched parameter dependent Lyapunov functional method with the average dwell time (ADT) method, and the feasible conditions for the fault-tolerant tracking controllers are obtained in the form of linear matrix inequalities (LMIs). Finally, the performance of the proposed approach is verified on a highly maneuverable technology (HiMAT) vehicle’s tracking control problem. Simulation results show the effectiveness of the proposed method.

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Section: Model Descriptionmentioning

confidence: 99%

Section: Model Descriptionmentioning

confidence: 99%

Section: Stability Analysis and Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

Dong

Wang

2015

Mathematical Problems in Engineering

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“…the same time, is an ongoing field of research. [3][4][5][6] In particular, the introduction of variable speed generators (doubly fed induction machines with rotor inverter and synchronous machines with full sine grid converter) allows to significantly increase the efficiency and dynamics of these power plants. In combination with modern control strategies like model predictive control, this opens up many new possibilities.…”

mentioning

confidence: 99%

Early‐ and late‐lumping observer designs for long hydraulic pipelines: Application to pumped‐storage power plants

Marko

Mennemann

Jadachowski

et al. 2018

Intl J Robust & Nonlinear

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Pumped-storage power plants typically feature very long hydraulic pipelines, which can be modeled by a set of partial differential equations. The estimation of the pressure and volumetric flow along the pipes is an important task for the operation of such a plant. Therefore, this work compares different earlyand late-lumping-based observer designs for this system. Two late-lumping observers, ie, a Lyapunov-based design and an observer using the backstepping design method, are examined. The Lyapunov-based approach uses a simple boundary correction to stabilize the estimation error dynamics. In contrast, the backstepping-based approach allows utilizing additional in-domain correction to obtain a faster rate of convergence. For the implementation of these distributed-parameter observers, the spectral element method as a flexible and computationally efficient discretization method is introduced. It is shown that, compared with that of the Lyapunov-based design, the discretization of the backstepping-based design requires additional spatial grid points for the accurate approximation of its feedback gains. For the early-lumping approach, the spectral element method is used to approximate the model equations by a system of differential equations. Based on this approximation, an extended Kalman filter is designed. All observer designs are validated and compared for a representative test case. KEYWORDS distributed-parameter system, hydraulic pipeline, late lumping, spectral element method, state estimation INTRODUCTIONNowadays, the amount of electrical energy produced by renewable sources like wind turbines or solar panels is steadily increasing. Despite all their positive properties, most of these energy sources have the major drawback of being highly volatile in comparison to conventional sources like coal or gas. In order to compensate for the differences between generation and load and, thus, to ensure grid stability, large-scale energy storage capabilities like pumped-storage power plants are necessary. 1,2 A typical pumped-storage power plant comprises several turbines (Francis or Pelton type), which are connected to an upper and a lower reservoir by long hydraulic pipelines. The control of pumped-storage power plants, with the aim to react as fast as possible to load fluctuations in the electric grid while respecting the physical limits of the system at Int J Robust Nonlinear Control. 2018;28:2759-2779.wileyonlinelibrary.com/journal/rnc

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Enhanced stability and failure avoidance of hydropower plant in contingent island operation by model predictive frequency control

Nagode¹,

Škrjanc

Murovec

2022

Energy Reports

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Evaluation of gain scheduled predictive control in a nonlinear MIMO model of a hydropower station

Cited by 14 publications

References 17 publications

Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

Early‐ and late‐lumping observer designs for long hydraulic pipelines: Application to pumped‐storage power plants

Enhanced stability and failure avoidance of hydropower plant in contingent island operation by model predictive frequency control

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