Sliding mode nonlinear control of magnetic bearings

Torres, Mauricio Torres; Sira-Ramírez, H.; Escobar, G.

doi:10.1109/cca.1999.807754

Cited by 10 publications

(5 citation statements)

References 9 publications

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“…Input-output linearization has been studied in [12], [10], [13], [14], [11]. Sliding mode controllers have been investigated in [10], [15] and [16]. Lévine et al [17] developed an alternative zero-bias control method by studying the differential flatness properties of the system equations.…”

Section: Introductionmentioning

confidence: 99%

Zero- and low-bias control designs for active magnetic bearings

Tsiotras

Wilson

2003

IEEE Trans. Contr. Syst. Technol.

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In this paper we present several nonlinear control designs for a single one-degree-of-freedom (1-DOF) Active Magnetic Bearing (AMB). The primary control objective is to globally asymptotically stabilize the mechanical states of an AMB while reducing the AMB power losses. This suggests operation with zero or low bias flux. We derive a flux-based model for an AMB using a generalized complementary flux condition. This condition is imposed both for zero and low bias operations. A convenient model structure results, in which the zero-bias mode is a special case of the more general low-bias mode of operation. We next derive control laws for low-and zero-bias AMB operation. The control designs borrow ideas from the theory of control Lyapunov functions (clf's) and passivity. The performance of each proposed control design is evaluated via numerical simulations with a highfidelity AMB model. Implementation issues are also discussed.

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Section: Introductionmentioning

confidence: 99%

Zero- and low-bias control designs for active magnetic bearings

Tsiotras

Wilson

2003

IEEE Trans. Contr. Syst. Technol.

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“…And the classical, linear design technique is frequently used to control the natural instability of magnetic bearings, but the nonlinear magnetic characteristics often limit the control effectiveness and the region of stable performance. Several nonlinear controllers have been attempted for control of active magnetic bearing systems such as the sliding mode control (SMC) [10,11], the feedback linearizing control [12] and the time delay control [13]. The SMC should yield a very robust performance against model errors, but it is difficult to achieve the fast control switching that is generally required.…”

Section: Application To a Rigid Rotor-amb Systemmentioning

confidence: 99%

Fuzzy Control Algorithm for Multi-Objective Problems by Using Orthogonal Array and its Application to an AMB System

Kim¹,

Lee²,

Bien³

2002

Intelligent Automation & Soft Computing

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A new fuzzy logic control design algorithm suitable for multi-objective control problem is proposed based on the concept of orthogonal array, widely used for design of experiments in statistics and industrial engineering. The essence of the algorithm is to introduce an N-th order certainty factor for each rule defined from its F-value, in order to effectively exclude the less confident rules and rate the rules. The proposed algorithm with multi-objective decision table is found to be capable of detection of inconsistency and the rule classification, reduction and modification. It is also shown that the algorithm can be successfully applied to a simple numerical example and the fuzzy controller design of a rigid rotor-active magnetic bearing system with model uncertainties and harmonic disturbances.

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“…Inputoutput linearization was studied in [8][9][10][11]. Sliding mode controllers were investigated in [12]. Stable position of the rotating flywheel is controlled by the AMBs.…”

Section: Optimal Control Challenge and Energy Lossesmentioning

confidence: 99%

Construction and Control of AMBs High Speed Flywheel

Mystkowski¹,

Rowiński²

2011

Archive of Mechanical Engineering

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The paper reports on investigation and development of a flywheel device intended for an energy storage prototype. The goal was to design and experimentally verify the concept of self-integrated flywheel with smart control of energy flow and accumulation. The Flywheel Energy Storage System (FESS) must has high energy efficiency and structural robustness. Investigation on structural dynamics of the composite flywheel connected with outer type rotor was carried out using Finite Element Method. The FESS is designed to run in vacuum and is supported on low-energy, controlled, active magnetic bearings (AMBs). The flywheel device of 10 MJ energy density and a weight of 150 kg with two integrated rotors/generators of 50 kW power density each is intended to operate up to 40 000 rpm.

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Sliding mode nonlinear control of magnetic bearings

Cited by 10 publications

References 9 publications

Zero- and low-bias control designs for active magnetic bearings

Zero- and low-bias control designs for active magnetic bearings

Fuzzy Control Algorithm for Multi-Objective Problems by Using Orthogonal Array and its Application to an AMB System

Construction and Control of AMBs High Speed Flywheel

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