Method for using order-different fractional-order system to design sliding mode interference observer

A technology of fractional order systems and disturbance observers, applied in the field of control, can solve problems that cannot further guarantee finite time convergence

Active Publication Date: 2017-08-11
HUAZHONG UNIV OF SCI & TECH +1
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Problems solved by technology

[0007] (1) Only applicable to homogeneous fractional order systems;
[0008] (2) It only guarantees the infinite time convergence of the disturbance observation error, and cannot further guarantee the finite time convergence

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  • Method for using order-different fractional-order system to design sliding mode interference observer
  • Method for using order-different fractional-order system to design sliding mode interference observer
  • Method for using order-different fractional-order system to design sliding mode interference observer

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[0078] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not constitute a conflict with each other.

[0079] For the flexible swing arm system, a key component in electronic manufacturing equipment, the inductance circuit of the system is inherently nonlinear in charge and discharge, and the fractional order model can be used to better describe these characteristics; in addition, the mass distribution of the flexible load is uneven, non-linear The characteristics of linear elastic deformation an...

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Abstract

The invention discloses a method for using order-different fractional-order system to design a sliding mode interference observer, and the concrete steps of the method comprises: obtaining relevant data by an excitation system; off-line identifying the order-different fractional-order model of the system; and according to the order-different fractional order of the system, designing a sliding mode interference observer for observing the disturbance at present online. The invention also discloses a product corresponding to the application of the method. The invention also discloses a method of applying the corresponding product to control the order-different fractional-order system. Compared with the traditional anti-disturbance method, the method of the invention uses the order-different fractional-order system model to design the sliding mode interference observer, which improves the accuracy of the disturbance observation and can realize the convergence in finite time to ensure the real-time performance of the observed results. In the case of strong interference, the robustness and stability of the order-different fractional-order system are enhanced. In addition, the method proposed by the invention is also applicable to an order-identical fractional-order system.

Description

technical field [0001] The invention belongs to the technical field of control, and in particular relates to a method for designing a synovial film disturbance observer of a non-homogeneous fractional order system. Background technique [0002] Fractional calculus provides a more complete mathematical model for complex dynamic systems. At present, the use of fractional-order models can achieve the goal of more accurate and concise description of fractional-order objects. The fractional order model is an extension of the traditional integer order model. For some systems that are difficult to be accurately described by the integer model order, the fractional order model has a good fitting effect. Compared with integer-order modeling, fractional-order models have the advantages of lower order, fewer parameters, and higher modeling accuracy. [0003] In the actual research process, according to whether the fractional order of the fractional order system is the same, the system...

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/04G05B13/045
Inventor 宋宝谢远龙周向东陈天航唐小琦乔文君张贺胜林启辉陈武平彭雅倩蒋立泉
Owner HUAZHONG UNIV OF SCI & TECH
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