Output feedback control of a mechanical system using magnetic levitation

Beltrán-Carbajal, Francisco; Valderrabano‐Gonzalez, Antonio; Rosas-Caro, Julio C.; Favela‐Contreras, Antonio

doi:10.1016/j.isatra.2015.01.012

Cited by 27 publications

(14 citation statements)

References 25 publications

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“…Define the first-order filter error as z 1i = ω refi − ω refi , and the virtual tracking error as e ωi = ω i − ω refi for i = 1, 2, 3. Substituting Equation (39) into Equation (38), one can arrive at…”

Section: Control Law Design For Attitude Angle Systemmentioning

confidence: 99%

“…The ADRC scheme has a wide range of applications in many fields, such as hypersonic reentry vehicles [34], forced Duffing mechanical systems [35], inverter systems [36], permanent magnet synchronous motors [37], etc. Beltran-Carbajal et al [38] put forward an output feedback control for a linear mass-spring-damper mechanical system, and an asymptotic estimation method was proposed to estimate the velocity, acceleration and disturbance signals in order to reduce the number of sensors. In [39], a novel output feedback control based on a generalized proportional integral observer for stabilization and robust tracking control of a nonlinear magnetic suspension system was investigated.…”

Section: Introductionmentioning

confidence: 99%

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Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Feng

Wang

Liu

et al. 2020

Sensors

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This study is concerned with the attitude control problem of variable-structure near-space vehicles (VSNSVs) with time-varying state constraints based on switched nonlinear system. The full states of vehicles are constrained in the bounded sets with asymmetric time-varying boundaries. Firstly, considering modeling uncertainties and external disturbances, an extended state observer (ESO), including two distinct linear regions, is proposed with the advantage of avoiding the peaking value problem. The disturbance observer is utilized to estimate the total disturbances of the attitude angle and angular rate subsystems, which are described in switched nonlinear systems. Then, based on the estimation values, the asymmetric time-varying barrier Lyapunov function (BLF) is employed to construct the active disturbance rejection controller, which can ensure the full state constraints are not violated. Furthermore, to resolve the ‘explosion of complexity’ problem in backstepping control, a modified dynamic surface control is proposed. Rigorous stability analysis is given to prove that all signals of the closed-loop system are bounded. Numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme.

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Section: Control Law Design For Attitude Angle Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Feng

Wang

Liu

et al. 2020

Sensors

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“…A spherical air bearing positioning system using electromagnetic actuators has been also developed in [17]. Other important applications of magnetic suspension systems have been reported in [18][19][20]. Hence, active suspension systems using electromagnetic actuators represent a feasible and efficient alternative for undesirable vibration attenuation and isolation.…”

Section: Introductionmentioning

confidence: 99%

“…In this regard, algebraic parametric identification methods have been also proposed for online reconstruction of unknown excitation forces [26][27][28]. Bounded disturbances have been also locally modelled by certain order Taylor polynomials for synthesis of asymptotic extended state observers for robust and efficient trajectory tracking control tasks on nonlinear magnetic suspension systems [19,20] and active nonlinear vibration suppression on mechanical systems [29].…”

Section: Introductionmentioning

confidence: 99%

An Active Vehicle Suspension Control Approach with Electromagnetic and Hydraulic Actuators

Beltrán-Carbajal

Valderrabano‐Gonzalez

Favela‐Contreras

et al. 2019

Actuators

Self Cite

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An active vibration control approach from an online estimation perspective of unavailable feedback signals for a quarter-vehicle suspension system is introduced. The application of a new signal differentiation technique for the online estimation of disturbance trajectories due to irregular road surfaces and velocity state variables is described. It is assumed that position measurements are only available for active disturbance suppression control implementation. Real-time signal differentiation is independent of detailed mathematical models of specific dynamic systems and control force generation mechanisms. Active control forces can be supplied by electromagnetic or hydraulic actuators. Analytical and simulation results prove the effective and fast dynamic performance of the online signal estimation as well as a satisfactory active disturbance attenuation on a quarter-vehicle active suspension system.

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“…Many magnetic levitation control design have been reported in the literature, including feedback linearization based controllers [4,6,[9][10][11], linear state feedback control design [6,12], the gain scheduling approach [13], observer-based control [5], neural network techniques [14], sliding mode controllers [8,15,16], backstepping control [17], model predictive control [18], cascade control [19] and PID controllers [20]. Since the governing differential equations are highly nonlinear, the nonlinear controllers are more attractive.…”

Section: Introductionmentioning

confidence: 99%

Cascade Control of Magnetic Levitation with Sliding Modes

Eroğlu

Ablay

2016

MATEC Web of Conferences

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Abstract. The effectiveness and applicability of magnetic levitation systems need precise feedback control designs. A cascade control approach consisting of sliding mode control plus sliding mode control (SMC plus SMC) is designed to solve position control problem and to provide a high control performance and robustness to the magnetic levitation plant. It is shown that the SMC plus SMC cascade controller is able to eliminate the effects of the inductance related uncertainties of the electromagnetic coil of the plant and achieve a robust and precise position control. Experimental and numerical results are provided to validate the effectiveness and feasibility of the method.

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Output feedback control of a mechanical system using magnetic levitation

Cited by 27 publications

References 25 publications

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

An Active Vehicle Suspension Control Approach with Electromagnetic and Hydraulic Actuators

Cascade Control of Magnetic Levitation with Sliding Modes

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