Sliding mode controller of hydraulic generator regulating system based on the input/output feedback linearization method

Yuan, Xiaohui; Chen, Zhihuan; Yuan, Yanbin; Huang, Yuehua; Li, Xianshan; Li, Wenwu

doi:10.1016/j.matcom.2015.08.020

Cited by 60 publications

(28 citation statements)

References 30 publications

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“…The hydraulic turbine governing system (10) can become stable in a fixed time, under the following controllers:…”

Section: Resultsmentioning

confidence: 99%

“…According to Lemma 3, we can show that the fourth and fifth subsystems in model (10) are stable in fixed time:…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…At present, the control method commonly used in water turbine control system mainly includes the following: nonlinear control [4][5][6][7], sliding mode control [8][9][10], PID control [11][12][13], fuzzy control [14], fault tolerant control [15], predictive control [16,17], and finite-time control [18]. These control methods have important theoretical and practical significance for the control of hydraulic turbine governing system, but they also have their own defects.…”

Section: Introductionmentioning

confidence: 99%

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Fixed-Time Stability of the Hydraulic Turbine Governing System

Liu

Zhang

et al. 2018

Mathematical Problems in Engineering

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This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the finite-time control strategy where the convergence rate depends on the initial state, the settling time of the fixed-time control scheme can be adjusted to the required value regardless of the initial conditions. Finally, we numerically show that the fixed-time control is more effective than and superior to the finite-time control.

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“…The hydraulic turbine governing system (10) can become stable in a fixed time, under the following controllers:…”

Section: Resultsmentioning

confidence: 99%

“…According to Lemma 3, we can show that the fourth and fifth subsystems in model (10) are stable in fixed time:…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fixed-Time Stability of the Hydraulic Turbine Governing System

Liu

Zhang

et al. 2018

Mathematical Problems in Engineering

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“…By carefully choosing the manifold and switch function, it is capable of forcing control objects to certain states with insensitivity to model errors and rejection of disturbances. Recently, studies on SMC applied to HTGS have been carried out from every aspect: linearization based normal SMC [29], fraction-order model-based fast terminal SMC [30] and fuzzy SMC [31]. However, the studies on the performance of SMC control law facing highly coupled state variables of a nonlinear HTGS are not satisfied, as well as operating under certain fluctuations around operating points.…”

Section: Introductionmentioning

confidence: 99%

Feedback Linearization and Reaching Law Based Sliding Mode Control Design for Nonlinear Hydraulic Turbine Governing System

Guo

Jiang

2019

Energies

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Hydropower as renewable energy has continually expanded at a relatively high rate in the last decade. This expansion calls for more accurate scheme design in hydraulic turbine governing system (HTGS) to ensure its high efficiency. Sliding mode control (SMC) as a robust control method which is insensitive to system uncertainties and disturbances raises interest in the application in HTGS. However, the feature of highly coupled state variables reflects the nonlinear essence of HTGS and SMC studies on the related mathematical model under certain fluctuations are not satisfied. In this regard, a novel SMC design with proportional-integral-derivative manifold is firstly applied to a nonlinear HTGS with a complex conduit system. In dealing with certain fluctuations in speed and load around the rated working condition, the proposed SMC is capable of driving the system to the desired state with smooth and light responses in aspects of the key state variables. The exponential reaching law and introduced boundary layer fasten the speed of converging time and suppress chattering. A necessary integral of sliding parameter added to manifold successfully reduces the latency caused by the anti-regulation feature of HTGS. Three operating scenarios are simulated compared with the PSO-PID method, and results imply that the proposed SMC method equips with accurate trajectory tracking ability and smooth responses. Finally, the strong robustness against system uncertainties is tested.

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“…In the past decades, many advanced control techniques have been applied to the controller design of the hydraulic turbine governing system, such as PID control [7,8], sliding-mode control [9], nonlinear control [10][11][12], fuzzy control [13], fault tolerant control [14], predictive control [15,16], finite-time control [17], and fixed-time control [18][19][20]. These control methods have important theoretical and practical significance for the control of a hydraulic turbine governing system, but they also have some problems in overcoming the long-term operation of the system in real-time applications.…”

Section: Introductionmentioning

confidence: 99%

Fixed‐Time Feedback Control of the Hydraulic Turbine Governing System

Liu

Zhang

2018

Complexity

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Dealing with convergence time and dealing with steady state are two of the most challenging problems in the field of stability of the hydraulic turbine governing system. In this paper, we solve these two challenging problems by designing fixed-time feedback controllers. The design of the controllers is based on the fixed-time theory and backstepping method. Compared with the existing controllers for fixed-time, finite-time, and other techniques, the designed controllers make the maximum convergence time of the system unaffected by the initial state. The convergence time is also shorter. Meanwhile, they are continuous and do not include any sign function, and hence, the chattering phenomenon in most of the existing results is overcome via nonchattering control. In addition, they give the system better stability and robustness to disturbances. Finally, the numerical simulation results in this paper will contribute to a better understanding of the effectiveness and superiority of the proposed controllers.

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Sliding mode controller of hydraulic generator regulating system based on the input/output feedback linearization method

Cited by 60 publications

References 30 publications

Fixed-Time Stability of the Hydraulic Turbine Governing System

Fixed-Time Stability of the Hydraulic Turbine Governing System

Feedback Linearization and Reaching Law Based Sliding Mode Control Design for Nonlinear Hydraulic Turbine Governing System

Fixed‐Time Feedback Control of the Hydraulic Turbine Governing System

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