Method for determining stability of LPV controller

A controller and stability technology, applied in the aerospace field, can solve problems such as uncontrollable performance and stability, rapid changes in system parameters, and strong external disturbances

Inactive Publication Date: 2015-11-25
BEIJING AEROSPACE AUTOMATIC CONTROL RES INST
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Problems solved by technology

Although the above-mentioned existing technologies can guarantee that the system meets the required performance at each operating point, they cannot theoretically guarantee the control performance and stability of the system in the entire parameter range
During the flight of a hypersonic vehicle, its altitude, speed, angle of

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  • Method for determining stability of LPV controller
  • Method for determining stability of LPV controller
  • Method for determining stability of LPV controller

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Embodiment Construction

[0082] 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 with reference to the accompanying drawings and examples.

[0083] This embodiment provides a method for determining the stability of an LPV controller, which is applicable to the LPV system of a hypersonic vehicle.

[0084] figure 1 It is a schematic flowchart of a method for determining the stability of an LPV controller in an embodiment of the present invention. Such as figure 1 As shown, the method for determining the stability of the LPV controller in the embodiment of the present invention includes: .

[0085] Step 101 , according to the system modeling error and the online measurement deviation of LPV parameters, the standard form of the controller solution problem of the linear system of the LPV system with uncertain parameters is obtained through model conversion.

[0086] In the technical solution o...

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Abstract

he invention discloses a method for determining an LPV variable gain controller, comprising steps of obtaining a standard form of a controller solving problem of a linear system of an LPV system having undetermined parameters through model conversion according to a system modeling error and a LPV parameter online measurement deviation and converting the controller-solving problem of the linear system to a convex optimization problem of an linear positive matrix unequal formula, wherein when the linear positive matrix can be solved , the LPV controller exists and is stable, The method for determining stability of LPV controller can determine the stability of the LPV controller and obtains the sufficient conditions for the controller to exist.

Description

technical field [0001] The invention relates to aerospace technology, in particular to a method for determining the stability of a Linear Parameter Varying (LPV, Linear Parameter Varying) controller. Background technique [0002] The dynamic characteristics of hypersonic vehicles are highly nonlinear, and the system parameters change drastically in a wide range, so the general linear control system obviously cannot meet the performance requirements of the system; in addition, due to the inevitable shortcomings such as the complexity of calculation, The existing nonlinear control system design methods are not suitable for engineering implementation. Therefore, the most commonly used engineering design method for systems such as hypersonic vehicles is variable gain control. The emergence of LPV theory makes up for the deficiency of traditional variable gain control, and the stability of LPV system can be proved theoretically. [0003] In the prior art, the traditional three-l...

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Application Information

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IPC IPC(8): G05B23/02
CPCG05B23/0254
Inventor 黄万伟柳嘉润包为民马卫华吴建武祁振强李爱国唐海红郑总准
Owner BEIJING AEROSPACE AUTOMATIC CONTROL RES INST
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