Fractional order system backstepping sliding mode control method influenced by asymmetric dead zone input

A fractional-order system and backstepping sliding mode technology, which is applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as system performance deterioration and system instability, and achieve strong practicability and improve system performance. Robustness, the effect of avoiding the problem of difficult integer order derivatives

Active Publication Date: 2021-11-09
JINLING INST OF TECH
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Problems solved by technology

[0002] With the development of fractional calculus theory, more and more scholars began to discuss the influence of non-smooth nonlinear characteristics in the control of fractional-order systems. The existence of these nonlinear characteristics will make the performance of the system worse, and even make the system become unstable

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  • Fractional order system backstepping sliding mode control method influenced by asymmetric dead zone input
  • Fractional order system backstepping sliding mode control method influenced by asymmetric dead zone input
  • Fractional order system backstepping sliding mode control method influenced by asymmetric dead zone input

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Embodiment Construction

[0085] Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:

[0086] The invention proposes a new control strategy based on the backstepping method combined with the sliding mode control scheme for the self-adaptive stabilization research of the fractional order system. This scheme can effectively avoid the impact of nonlinear input on the system, and at the same time, it can effectively suppress the unmodeled dynamics of the system and the external interference it receives. The application of the fractional frequency distribution model can equate the approaching phase and the sliding mode phase state in the sliding mode control to an infinite-dimensional ordinary differential equation, so that the indirect Lyapunov stability theory can be used to verify the global stability of the system well. By backstepping and iteratively designing the virtual controller, the appropriate form of the actual controller i...

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Abstract

The invention discloses a fractional order system backstepping sliding mode control method influenced by asymmetric dead zone input. The method includes: establishing strict feedback fractional order system mathematical model; constructing a sliding mode surface in a proper form according to a fractional calculus operator; constructing an auxiliary fractional order system to compensate the influence of asymmetric dead zone input; determining an adaptive updating law of unknown parameters in the fractional order mathematical model; on the basis of a conversion variable system and in combination with a fractional order distribution frequency model, selecting a proper Lyapunov function to determine the form of each virtual controller step by step; and adopting an indirect Lyapunov stability analysis method to verify the stability of the sliding mode in the approaching stage. The use of the indirect Lyapunov stability theory based on the fractional order frequency distribution model can ensure that the whole design process is reasonable and effective, thereby verifying that the backstepping sliding mode control method has a good control effect in the adaptive stabilization control of the fractional order system with a strict feedback structure, and all unknown parameters of the system can be effectively identified; and the system robustness is enhanced.

Description

technical field [0001] The invention belongs to the technical field of indoor and outdoor seamless positioning, and in particular relates to a fractional-order system reverse-step sliding mode control method affected by an asymmetric dead zone input. Background technique [0002] With the development of fractional calculus theory, more and more scholars began to discuss the influence of non-smooth nonlinear characteristics in the control of fractional-order systems. The existence of these nonlinear characteristics will make the performance of the system worse, and even make the system become unstable. Using fractional calculus to model actual engineering systems has a more accurate effect than integer-order calculus theory. Due to the singularity and complexity of fractional-order operators, it is difficult in many current control studies on fractional-order systems to behave like integers. In order to construct a unified form of Lyapunov function for fractional-order syste...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 田小敏杨忠王逸之顾姗姗
Owner JINLING INST OF TECH
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