Fixed‐Time Feedback Control of the Hydraulic Turbine Governing System

Abstract

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.

A review of dynamic models and stability analysis for a hydro-turbine governing system

“…SMC has the advantage of high robustness against disturbances and insensitivity to model errors. This provides designers with more freedom and satisfies special requirements and certain robustness conditions [118,119]. When the load changes, the speed control is conducted to keep the power quality.…”

“…It is also suitable to deal with systems with complexity or high nonlinearity [15]. However, it is difficult to construct fuzzy rules and membership functions, which are often determined by operational experiences and intuitiveness [119]. As shown in Fig.…”

Fuzzy decoupling predictive functional control for nonlinear hydro-turbine governing systems with mechanical time delay of the hydraulic servo system

“…The problem of gain tuning of PID controller in the turbine governing system is solved by using adaptive grid particle swarm optimization, considering settle time and overshoot level simultaneously (Chen et al, 2015). Additionally, considering the nonlinear characteristics of the HTGS and controller performance improvement, methods such as robust H-infinity control (Qu and Guo, 2021), robust finite-time (Liang et al, 2017), finite-time fuzzy (Huang et al, 2019), fuzzy sliding mode (Wang et al, 2018), fault-tolerant control (Yi and Chen., 2019), and other approaches have been proposed successively (Gil-González et al, 2019; Ma et al, 2018). People are still exploring the high quality control of HTGSs.…”