scholarly journals Design of a Finite-Time Terminal Sliding Mode Controller for a Nonlinear Hydro-Turbine Governing System

Energies ◽  
2020 ◽  
Vol 13 (3) ◽  
pp. 634
Author(s):  
Tianyu Yang ◽  
Bin Wang ◽  
Peng Chen
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Nonlinear Mathematical Model ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Hydro Turbine ◽  
Time Control ◽  
Governing System ◽  
Mathematical Derivation

We focus on the finite-time control of a hydro-turbine governing system (HGS) in this paper. First, the nonlinear mathematical model of the hydro-turbine governing system is presented and is consistent with the actual project. Then, based on the finite-time stability theory and terminal sliding mode scheme, a new finite-time terminal sliding mode controller is designed for the hydro-turbine governing system and a detailed mathematical derivation is given. Only three vector controllers are required, which is less than the HGS equation dimensions and is easy to implement accordingly. Furthermore, numerical simulations for the proposed scheme and an existing sliding mode control are presented to verify the validity and advantage of improving transient performance. The approach proposed in this paper is simple and provides a reference for relevant hydropower systems.

scholarly journals Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Bin Wang ◽  
Lin Yin ◽  
Shaojie Wang ◽  
Shirui Miao ◽  
Tantan Du ◽  
...  
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Distributed Model ◽  
Finite Time Stability ◽  
Time Control ◽  
Governing System ◽  
Terminal Sliding Surface ◽  
Frequency Distributed Model

This paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear hydroturbine governing system (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. Secondly, a novel terminal sliding surface is proposed and its stability to origin is proved based on the frequency distributed model and Lyapunov stability theory. Furthermore, based on finite time stability and sliding mode control theory, a robust control law to ensure the occurrence of the sliding motion in a finite time is designed for stabilization of the fractional order HGS. Finally, simulation results show the effectiveness and robustness of the proposed scheme.

scholarly journals Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Fengjiao Wu ◽  
Junling Ding ◽  
Zhengzhong Wang
Keyword(s):  
Sliding Mode Control ◽  
Nonlinear Vibration ◽  
Finite Time ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Time Control ◽  
Governing System ◽  
Francis Hydroturbine

The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. Furthermore, the designed controller has good robustness which could resist external random disturbances. Numerical simulations are employed to verify the effectiveness and superiority of the designed finite-time sliding mode control scheme. The approach proposed in this paper is simple and also provides a reference for relevant hydropower systems.

A finite-time sliding mode control for hypersonic vehicle

2019 ◽  
Vol 41 (15) ◽  
pp. 4339-4350 ◽  
Author(s):  
Qingwen Ma ◽  
Jianguo Guo ◽  
Jun Zhou
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Hypersonic Vehicle ◽  
Lyapunov Theory ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Mode Control ◽  
Time Control ◽  
Longitudinal Dynamic

In this paper, a finite-time control strategy based on back-stepping method combining with a terminal sliding mode control (TSMC) and a nonlinear disturbance observer (NDO) is proposed for the longitudinal dynamic model of hypersonic vehicle (HV). Firstly, the model of HV is transformed into two strict feedback subsystem: the mismatched subsystem of altitude and the matched subsystem of velocity. Then, the TSMC and back-stepping method is incorporated to cope with the unmatched issue in the HV altitude subsystem. In addition, a NDO based on a finite-time-convergent differentiator (FD) is proposed to estimate the lumped disturbances. The finite-time stability condition of the system is established via the Lyapunov theory. Finally, the robustness and effectiveness of the method are verified by simulations.

scholarly journals Continuous Finite-Time Terminal Sliding Mode IDA-PBC Design for PMSM with the Port-Controlled Hamiltonian Model

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shuanghe Yu ◽  
Lina Jin ◽  
Kai Zheng ◽  
Jialu Du
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Fractional Power ◽  
Hamiltonian Function ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Time Control ◽  
Speed Regulation ◽  
Maximum Torque Per Ampere

Finite-time control scheme for speed regulation of permanent magnet synchronous motor (PMSM) is investigated under the port-controlled Hamiltonian (PCH), terminal sliding mode (TSM), and fast TSM stabilization theories. The desired equilibrium is assigned to the PCH structure model of PMSM by maximum torque per ampere (MTPA) principle, and the desired Hamiltonian function of state error is constructed in the form of fractional power structure as TSM and fast TSM, respectively. Finite-time TSM and fast TSM controllers are designed via interconnection and damping assignment passivity-based control (IDA-PBC) methodology, respectively, and the finite-time stability of the desired equilibrium point is also achieved under the PCH framework. Simulation results validate the improved performance of the presented scheme.

Robust active finite-time control of gas compressor system surge in the presence of unmatched disturbance and uncertainty

2021 ◽  
pp. 095965182110574
Author(s):  
Jianhua Sun ◽  
Hai Gu ◽  
Jie Zhang ◽  
Hashem Imani Marrani
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Characteristic Curve ◽  
Parametric Uncertainty ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Time Control ◽  
Unmatched Uncertainties ◽  
Fuzzy Approximator

Active and robust control of surge instability is a special necessity for optimal and safe operation of centrifugal compressors, and for the purpose, this article presents a new hybrid scheme based on fuzzy and terminal sliding mode methods. The Greitzer model is used to design a novel controller when the disturbance instability in the flow and pressure alike the uncertainity in the compressor characteristic curve and throttle valve are embedded in it. The fuzzy approximator is used to estimate the effects of parametric uncertainty and the nonlinear terms, and the robustness of the proposed method is guaranteed using the terminal sliding mode control method. The Lyapunov criterion is utilized to verify the finite-time stability of the closed-loop system. The performance of the presented method is compared with other methods in the literature through simulations in MATLAB software. The results suggest that our designed controller outperforms the existing ones in terms of surge prevention and robustness against unmatched uncertainties and disturbances.

Finite Time Control of a Fractional Order Hydro-Turbine Governing System With Load Rejection

2021 ◽  
Author(s):  
Peng Chen ◽  
Bin Wang
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Sliding Mode ◽  
Servo System ◽  
The State ◽  
Hydro Turbine ◽  
Time Control ◽  
Governing System ◽  
Hydraulic Servo ◽  
Hydraulic Servo System

Abstract This study focuses on the finite time control of a fractional order hydro-turbine governing system (HGS) with load rejection. First, the hydraulic servo system has significant historical reliance. Since it is a powerful advantage for fractional calculus to describe the function which has significant historical reliance, the fractional order hydraulic servo system is adopted and the more actual fractional order hydro-turbine governing system is presented. Second, some definitions and properties are given, and the state trajectories of HGS with load rejection is observed. The simulation results show that the state trajectory of the system is not stable, so it is necessary to design a controller with better control effect. Third, based on the frequency distribution model, the equivalent transformation model of HGS is presented. A new finite time sliding mode control scheme is proposed for the stability control of the HGS with load rejection. Furthermore, the no chattering sliding mode controller and its detailed mathematical derivation are given. The system stability is proved, and the upper limit of HGS finite time stability is given. Finally, numerical simulations have verified the theoretical results. The controller can make the state trajectories of the HGS converge to zero in a finite time, and the control time is very short.

scholarly journals Finite-Time Attitude Stabilization Adaptive Control for Spacecraft with Actuator Dynamics

Sensors ◽  
2019 ◽  
Vol 19 (24) ◽  
pp. 5568
Author(s):  
Chunbao Wang ◽  
Dong Ye ◽  
Zhongcheng Mu ◽  
Zhaowei Sun ◽  
Shufan Wu
Keyword(s):  
Adaptive Control ◽  
Finite Time ◽  
Attitude Control ◽  
Sliding Mode ◽  
Control Law ◽  
Terminal Sliding Mode ◽  
Actuator Dynamics ◽  
Finite Time Stability ◽  
Attitude Stabilization ◽  
Time Control

For the attitude stabilization of spacecraft with actuator dynamics, this paper proposed a finite-time control law. Firstly, the dynamic property of the actuator is analyzed by an example. Then, a basic control law is derived to achieve the finite-time stability using the double fast terminal sliding mode manifold. When there is no prior knowledge of time matrix of the actuator, an adaptive law is proposed to estimate the unknown information. An adaptive control law is derived to guarantee the finite-time convergence of the attitude, and a Lyapunov-based analysis is provided. Finally, simulations are carried out to demonstrate the effectiveness of the proposed control law to the attitude stabilization with the actuator dynamics. The results show that the high-precision attitude control performance can be achieved by the proposed scheme.

A novel robust finite-time tracking control of uncertain robotic manipulators with disturbances

2020 ◽  
pp. 107754632098244
Author(s):  
Hamid Razmjooei ◽  
Mohammad Hossein Shafiei ◽  
Elahe Abdi ◽  
Chenguang Yang
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Sliding Mode Controller ◽  
Time Varying ◽  
State Variables ◽  
Terminal Sliding Mode ◽  
Control Laws ◽  
Finite Time Boundedness

In this article, an innovative technique to design a robust finite-time state feedback controller for a class of uncertain robotic manipulators is proposed. This controller aims to converge the state variables of the system to a small bound around the origin in a finite time. The main innovation of this article is transforming the model of an uncertain robotic manipulator into a new time-varying form to achieve the finite-time boundedness criteria using asymptotic stability methods. First, based on prior knowledge about the upper bound of uncertainties and disturbances, an innovative finite-time sliding mode controller is designed. Then, the innovative finite-time sliding mode controller is developed for finite-time tracking of time-varying reference signals by the outputs of the system. Finally, the efficiency of the proposed control laws is illustrated for serial robotic manipulators with any number of links through numerical simulations, and it is compared with the nonsingular terminal sliding mode control method as one of the most powerful finite-time techniques.

Continuous finite-time control for robotic manipulators with terminal sliding mode

Automatica ◽  
2005 ◽  
Vol 41 (11) ◽  
pp. 1957-1964 ◽  
Author(s):  
Shuanghe Yu ◽  
Xinghuo Yu ◽  
Bijan Shirinzadeh ◽  
Zhihong Man
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Terminal Sliding Mode ◽  
Time Control

Immersion and invariance adaptive finite-time control of air-breathing hypersonic vehicles

2018 ◽  
Vol 233 (7) ◽  
pp. 2626-2641 ◽  
Author(s):  
Chao Han ◽  
Zhen Liu ◽  
Jianqiang Yi
Keyword(s):  
Control System ◽  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Second Order ◽  
Hypersonic Vehicles ◽  
Terminal Sliding Mode ◽  
Air Breathing ◽  
Immersion And Invariance ◽  
Time Control

In this paper, a novel adaptive finite-time control of air-breathing hypersonic vehicles is proposed. Based on the immersion and invariance theory, an adaptive finite-time control method for general second-order systems is first derived, using nonsingular terminal sliding mode scheme. Then the method is applied to the control system design of a flexible air-breathing vehicle model, whose dynamics can be decoupled into first-order and second-order subsystems by time-scale separation principle. The main features of this hypersonic vehicle control system lie in the design flexibility of the parameter adaptive laws and the rapid convergence to the equilibrium point. Finally, simulations are conducted, which demonstrate that the control system has the features of fast and accurate tracking to command trajectories and strong robustness to parametric and non-parametric uncertainties.

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