State-Constraints Adaptive Backstepping Control for Active Magnetic Bearings With Parameters Nonstationarities and Uncertainties

Yang, Dongsheng; Gao, Xiaoting; Cui, Enchang; Ma, Zhen

doi:10.1109/tie.2020.3020034

Cited by 38 publications

(11 citation statements)

References 37 publications

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“…The discussion of the DOB for AMB system can be found in [5][6][7][8]. The discussion of the AMB system with the presence of uncertainty variation can be found [9]. The development of the AMB system has been lasting until recent years with the highly advanced control techniques such as in [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

2022

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The slotless self-bearing motor (SSBM) is a motor with its self-bearing function. The mechanical structure of the motor is six symmetrical hexagonal shapes. The main control problem for this motor is disturbance and uncertainty rejection. Therefore, this paper proposes a new disturbance observer (DOB) based on an optimal fixed-time state observer (OFTSOB) and adaptive sliding mode control (SMC) for the motor. Firstly, the optimal state observer was used to construct to obtain the information of the states of the bearing-less motor system. Second, a new disturbance observer base on the fast speed reaching law is proposed for estimating the unknown dynamics and unpredicted uncertainty of the motor system. Third, the adaptive fast-reaching law-sliding mode control is designed to control the positions and rotational speed. Fourth, the proposed control system is proved via the Lyapunov theorem. Finally, the corrections of proposed method once again tested by using MATLAB simulation. The obtained results figured out that the proposed method is good at rejection disturbance and uncertainty and precision in control the movement and rotation. The novelties of the proposed method are that the gains of fixed-time observer were met by the support of optimal pole placement method, the disturbances were mostly rejected by a new reaching law of unknown input observer.

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Section: Introductionmentioning

confidence: 99%

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

2022

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“…Yang D designed an adaptive backstepping controller for the active magnetic bearing to reduce the uncertainties of system parameters. 10 Also, modern control methods are applied to maglev systems, such as the H-infinity control method, 11,12 the fuzzy control method, 13 and the sliding model control method. 14,15 Sun proposed a permanent magnetic levitation (PML) system with the variable magnetic flux, which could avoid adhering by adjusting to zero levitation force.…”

Section: Introductionmentioning

confidence: 99%

Research of permanent magnetic levitation system: Analysis, control strategy design, and experiment

Zhao

Sun

Jin

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Aiming to realize levitation for a novel permanent magnetic levitation system, this paper proposes a double control strategy. The coupled dynamic model with two subsystems was established at first. According to the analysis of stable levitation, four joint control strategies of air gap length and rotation angle were designed. Then, the controller parameters tuning was implemented utilizing the improved PSO (particle swarm optimization) algorithm with non-linear inertia weight. At last, step response simulations and experiments were carried out to compare the performance of the proposed four control strategies. Results demonstrate the validity of PSO using for tuning proportional-integral-derivative (PID) parameters. In addition, the parallel double PD controller and cascade double PD controller both have better dynamic performance but more significant steady-state error. When using PID control for the air gap, the error could be eliminated. Compared with the parallel PID-PD control strategy, the cascade control is competitive in terms of 0.03 s rising time, 4.3 s settling time, and 24% peak overshoot.

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“…Otherwise, it will cause performance degradation and system damage. A lot of methods had been investigated to solve this issue, including set invariance notions [31], reference governors [32], model predictive control [33], nevertheless, after the barrier Lyapunov function (BLF) method has been designed, the most commonly used methods to solve the constraint problem is the design based on BLF, such as some conventional BLF [34]- [39], and some novel BLF [40]- [42]. While there are some deficiencies in BLF-based design, the redesign as the Lyapunov function changes, the structure of complex controller, the selection interval of initial value, etc.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Practical Fast Finite-Time Consensus Protocols for High-Order Nonlinear Multi-Agent Systems With Full State Constraints

Shang

Cai

2021

IEEE Access

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This paper mainly addresses the issue of fast finite-time consensus (FTC) algorithms for a group of high-order uncertain nonlinear non-strict-feedback Multi-agent Systems (MASs) with time-varying asymmetric full state constraints. In order to guarantee the state constraints are satisfied, an appropriate asymmetric nonlinear mapping (NM) is employed to transform the original full state constrained system into a corresponding unconstrained one. Combining neural networks technology, graph theory, fast finitetime control theory and backstepping recursive design scheme, the uncertainties and non-strict-feedback form are considered to propose a distributed adaptive FTC protocol which can guarantee tracking error reaching a region in finite time. Finally, an example is given to show that the designed control law can perform effective control.INDEX TERMS multi-agent systems, fast finite-time control, non-strict-feedback structure, time-varying asymmetric state constraints.

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State-Constraints Adaptive Backstepping Control for Active Magnetic Bearings With Parameters Nonstationarities and Uncertainties

Cited by 38 publications

References 37 publications

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

Inversed Model-Based Disturbance Observer Base on Adaptive Fast Convergent Sliding Mode Control and Fixed-Time State Observer for Slotless Self-Bearing Motor

Research of permanent magnetic levitation system: Analysis, control strategy design, and experiment

Adaptive Practical Fast Finite-Time Consensus Protocols for High-Order Nonlinear Multi-Agent Systems With Full State Constraints

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