Nonlinear Predictive Control of a Hydropower System Model

Abstract

A six-dimensional nonlinear hydropower system controlled by a nonlinear predictive control method is presented in this paper. In terms of the nonlinear predictive control method; the performance index with terminal penalty function is selected. A simple method to find an appropriate terminal penalty function is introduced and its effectiveness is proved. The input-to-state-stability of the controlled system is proved by using the Lyapunov function. Subsequently a six-dimensional model of the hydropower system is presented in the paper. Different with other hydropower system models; the above model includes the hydro-turbine system; the penstock system; the generator system; and the hydraulic servo system accurately describing the operational process of a hydropower plant. Furthermore, the numerical experiments show that the six-dimensional nonlinear hydropower system controlled by the method is stable. In addition, the numerical experiment also illustrates that the nonlinear predictive control method enjoys great advantages over a traditional control method in nonlinear systems. Finally, a strategy to combine the nonlinear predictive control method with other methods is proposed to further facilitate the application of the nonlinear predictive control method into practice.

Fixed‐Time Feedback Control of the Hydraulic Turbine Governing System

“…Model of Hydraulic Turbine Governing System. The mathematical model of the hydraulic turbine governing system with the elastic water hammer has been widely studied in [12,15,31]. In this paper, the focus is to use an advanced control strategy to give the system better quality.…”

“…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.…”

Fixed-Time Stability of the Hydraulic Turbine Governing System

“…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.…”

“…In [16], a six-dimensional nonlinear mathematical model for the elastic water hammer of hydraulic turbine governing system is presented. Based on the six-dimensional nonlinear mathematical model, this paper analyzes the system running state without controllers.…”

Fuzzy Adaptive Repetitive Control for Periodic Disturbance with Its Application to High Performance Permanent Magnet Synchronous Motor Speed Servo Systems

“…To enhance the system performance, in recent years, many advanced information theories has been developed for the control system, such as input-output linearization control [15]; adaptive control [18]; robust control [19]; sliding mode control [20], which has been applied for a fractional order chaotic system [21,22]; fractional order theory is also novel and interesting for researchers [23]; nonlinear model predictive control has been proposed for hydropower system [24]; back-stepping control [25]; finite-time control [26]; neural network methods are used in motion control system and a fruit classification system [27,28]; fuzzy theory [29,30], etc. These information theories can improve system performance from different aspects.…”