A Less Conservative Trajectory Tracking Control Method for Permanent Magnet Spherical Motor

A spherical motor and trajectory tracking technology, which is applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of bloated structure, larger controller size, limitations, etc., and achieve less conservatism and good robustness performance, good anti-disturbance ability

CN107544250BActive Publication Date: 2020-06-12TIANJIN UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Publication Date
2020-06-12

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Abstract

The invention relates to a less conservative permanent magnetic spherical motor locus tracking control method. The method is characterized in that a fuzzy sliding mode controller based on a non-linearinterference observer is employed, composite interference including uncertainty, friction, external interference and load disturbance is estimated through utilizing the non-linear interference observer, compensation at a control input end is carried out to realize interference inhibition, the sliding mode controller is utilized to inhibit an interference error of the non-linear interference observer and an unobservable part, fuzziness is utilized to approach the observation error of the non-linear interference observer and the unobservable part, and output gain of the fuzzy controller is utilized to replace switching gain of a sliding mode to reduce buffeting of the sliding mode.
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Description

technical field

[0001] The invention belongs to the field of trajectory tracking control of permanent magnet spherical motors, and relates to a less conservative trajectory tracking control method of permanent magnet spherical motors. Background technique

[0002] The permanent magnet spherical motor is a typical multivariable, strongly coupled, nonlinear system, and the problems involved in its control are very complicated, due to the inaccurate measurement and modeling, coupled with the influence of load, friction changes and external disturbances , it is actually impossible to obtain an accurate and complete dynamic model of the spherical motor. With the deepening of permanent magnet spherical motor technology research and the expansion of application fields, conventional permanent magnet spherical motor trajectory tracking control strategies and algorithms, such as PD control and calculated torque method control, can no longer meet the control requirements of these field...

Examples

Embodiment Construction

[0038] figure 1 Shown is the block diagram of the permanent magnet spherical motor fuzzy sliding mode control system based on nonlinear disturbance observer, including nonlinear observer, sliding mode controller, and three fuzzy controllers. The observed value of the nonlinear observer is used as the input of the sliding mode controller, and the output gains of the three fuzzy controllers are respectively used to replace the switching control gains of the three axes in the sliding mode control.

[0039] The dynamic model of permanent magnet spherical motor is:

[0040]

[0041] In the formula, θ=[αβγ]T represents the generalized displacement, M(θ) is the inertia matrix, is the matrix of centrifugal force and Coriolis force, d is the compound disturbance such as uncertainty, friction, external disturbance, load disturbance, etc., τ is the control torque matrix of the rotor in three axes.

[0042] M(θ), The expression is as follows:

[0043]

[0044]

[0045] Desi...