Abstract
The magnetic suspension system (MSS) is very important in many engineering applications. This paper proposes the dynamic output feedback control of a field-sensed MSS (FSMSS). Subsequently, the mathematical model of the MSS is described by discrete-time systems. Ideally, the coefficients of a nominal polynomial can precisely determine the Schur stability. But in reality, the coefficients may contain uncertainties due to reasons such as computational errors. Therefore, there is a need to address the problem of robust stability for discrete-time systems. In this paper, the size of allowable perturbation in polynomial coefficient space was estimated for the output feedback control of the MSS. Theℓ∞-norm and a lower bound for the size of the Schur stability hypercube are provided in this paper.
Highlights
IntroductionMagnetic suspension technique has numerous applications such as levitation of high speed trains, frictionless bearings, magnetically suspended wind tunnels, rocket-guiding projects, and vibration isolation tables in semiconductor manufacturing
Magnetic suspension technique has numerous applications such as levitation of high speed trains, frictionless bearings, magnetically suspended wind tunnels, rocket-guiding projects, and vibration isolation tables in semiconductor manufacturing.The classroom demonstration device was first proposed by Wong [1] in 1986 with the phase-lead compensation and root locus analysis shown for the undergraduate course
In 1993, the sliding mode control was successfully extended to the magnetic suspension system (MSS) by Cho et al [2]
Summary
Magnetic suspension technique has numerous applications such as levitation of high speed trains, frictionless bearings, magnetically suspended wind tunnels, rocket-guiding projects, and vibration isolation tables in semiconductor manufacturing. The sliding mode control is used to stabilize the nonlinear systems in the global sense and considered robustness issues in modeling uncertainties and disturbances. Oliveira et al [5] proposed the robust control material applied to the MSS. The utilization of developed techniques in robust control such as H∞, μ analysis, and synthesis was issued. Hurley et al [10] concentrated on PWM (pulse width modulation) drive of the MSS. The robust nonlinear compensation algorithm based on geometric feedback linearization techniques was developed in [13], and the MSS was exploited to guarantee the stability of the proposed scheme. The FSMSS is extended to a digital control system, and the problem of robust stability on discrete-time systems is addressed.
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