Linear Quadratic State Feedback Optimal Control against Actuator Failures

Zhang, Zhizhou; Li, Zhiqiang; Long-hua, She; Wen-sen, Chang

doi:10.1109/icma.2007.4304100

Cited by 16 publications

(13 citation statements)

References 6 publications

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“…Using the notations given in Fig. (1), the vertical dynamics is described by [2] as its motion is governed by the differential dynamic equations of motion of electromagnetic suspension system in (1), (2) and (3) respectively, which concerns in dynamic motion of levitated object.…”

Section: Mathematical Modelmentioning

confidence: 99%

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Optimal Control of Electromagnetic Suspension EMS System

Suebsomran¹

2014

TOAUTOCJ

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This paper presents the controller design of magnetic levitation application. The highly nonlinear electromagnetic suspension EMS system is hard and limited system control subjected to prescribed stability of system. Due to the nonlinear dynamics of system, the linearization of the nonlinear EMS plant is described by linear model. An attraction force about the prescribed nominal operating point of current and air gap positioning is chosen for linearization by a nominal operating point. Optimal control is applied for controlling nonlinear dynamics of EMS plant. Linear quadratic regulator (LQR) controller applies for this control objective. The system stability is proofed by using Lyapunov's method. From the results the reference of air gap position can be tracked with the desired nominal operating control as shown in simulation and practical manner.

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Section: Mathematical Modelmentioning

confidence: 99%

“…From experiment result, air-gap position can be controlled at 4 mm at nominal operating point. [2] also proposed the designed linear quadratic state feedback regulator. It can maintain the closed-loop stability in the presence of some certain actuator failures.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of Electromagnetic Suspension EMS System

Suebsomran¹

2014

TOAUTOCJ

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“…Because it not only can be applied to main long-distance line, but also be suitable for public area transportation, it has attracted many countries' attention. Nowadays a lot of countries, such as Germany, Japan, United Kingdom, USA, Korea, China, have started up the engineering study of maglev train [1][2][3]. The aim of this paper is to outline a formal framework for the analytical bifurcation analysis of Hopf bifurcations in time-delayed differential equations with two time delays from gap sensor and accelerometer.…”

Section: Introductionmentioning

confidence: 99%

Stability and Hopf bifurcation of the maglev system with delayed position and speed feedback control

2008

Self Cite

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In this paper, the dynamic behavior of suspension system of maglev train with time-delayed position and velocity feedback signal is considered with rigid guideway. The stability conditions of the system are obtained with characteristic root method. The Hopf bifurcation direction and stability of the system at the critical point are also investigated. Based on center manifold reduction and Poincaré normal form theory, the general formula for the direction, the estimation formula of period and stability of Hopf bifurcating periodic solution are also given. It is shown that time delays can change the current complicated dynamic behavior. And the condition that the bifurcation may occur is given to restrain the dynamic response and vibration between vehicle and guideway of the system with time-delayed position and velocity signal.

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“…The maglev train is a novel type of rail vehicle that has many advantages such as high speed, comfort, low environmental pollution, and low maintenance cost [1,2,3]. However, the maglev system is a complicated system with machinery, controllers and electromagnetic elements integrated together.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of a maglev system with time-delayed feedback control

Zhang

Campbell

Huang

2011

Physica D: Nonlinear Phenomena

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This paper undertakes a nonlinear analysis of a model for a maglev system with time-delayed feedback. Using linear analysis, we determine constraints on the feedback control gains and the time delay which ensure stability of the maglev system. We then show that a Hopf bifurcation occurs at the linear stability boundary. To gain insight into the periodic motion which arises from the Hopf bifurcation, we use the method of multiple scales on the nonlinear model. This analysis shows that for practical operating ranges, the maglev system undergos both subcritical and supercritical bifurcations, and which give rise to unstable and stable limit cycles respectively. Numerical simulations confirm the theoretical results and indicate that unstable limit cycles may coexist with the stable equilibrium state. This means that large enough perturbations may cause instability in the system even if the feedback gains are such that the linear theory predicts that the equilibrium state is stable.

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Linear Quadratic State Feedback Optimal Control against Actuator Failures

Cited by 16 publications

References 6 publications

Optimal Control of Electromagnetic Suspension EMS System

Optimal Control of Electromagnetic Suspension EMS System

Stability and Hopf bifurcation of the maglev system with delayed position and speed feedback control

Nonlinear analysis of a maglev system with time-delayed feedback control

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