稳定机动飞机空间运动时控制器矩阵范数的参数最小化

2020 7th International Conference on Control, Decision and Information Technologies (CoDIT) Pub Date : 2020-06-29 DOI:10.1109/CoDIT49905.2020.9263844

A. Lapin, N. E. Zubov, A. Proletarskii

{"title":"稳定机动飞机空间运动时控制器矩阵范数的参数最小化","authors":"A. Lapin, N. E. Zubov, A. Proletarskii","doi":"10.1109/CoDIT49905.2020.9263844","DOIUrl":null,"url":null,"abstract":"This paper deals with stabilizing spatial motion of a maneuverable aircraft with three controls and nine state parameters. It is required to provide specified dynamic properties of the controlled plant at minimal control actions.To solve the assigned task the modification of the Bass – Gura formula is suggested, which allows analytically synthesizing stabilizing modal control for multi-input objects and simplifies parameterization of this control.For numeric matrices describing one of flight modes of the typical maneuverable aircraft and for required dynamic properties of the closed-loop control system a parameterized analytic solution of the considering problem is obtained in the form of controller matrix. A control law providing small values of state vector components and of controls shifts is synthesized by choosing the parameters minimizing the sum of controller coefficients absolute values. The simulation results are shown.","PeriodicalId":355781,"journal":{"name":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parametric Minimization of Controller Matrix Norm at Stabilizing Spatial Motion of a Maneuverable Aircraft\",\"authors\":\"A. Lapin, N. E. Zubov, A. Proletarskii\",\"doi\":\"10.1109/CoDIT49905.2020.9263844\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with stabilizing spatial motion of a maneuverable aircraft with three controls and nine state parameters. It is required to provide specified dynamic properties of the controlled plant at minimal control actions.To solve the assigned task the modification of the Bass – Gura formula is suggested, which allows analytically synthesizing stabilizing modal control for multi-input objects and simplifies parameterization of this control.For numeric matrices describing one of flight modes of the typical maneuverable aircraft and for required dynamic properties of the closed-loop control system a parameterized analytic solution of the considering problem is obtained in the form of controller matrix. A control law providing small values of state vector components and of controls shifts is synthesized by choosing the parameters minimizing the sum of controller coefficients absolute values. The simulation results are shown.\",\"PeriodicalId\":355781,\"journal\":{\"name\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"volume\":\"2014 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CoDIT49905.2020.9263844\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CoDIT49905.2020.9263844","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

研究了具有三种控制和九种状态参数的机动飞行器空间运动的稳定问题。要求在最小的控制动作下提供被控对象的指定动态特性。为了解决给定的任务，提出了对Bass - Gura公式的修改，使其能够解析综合多输入目标的稳定模态控制，并简化了该控制的参数化。对于描述典型机动飞机某一飞行模式的数值矩阵和闭环控制系统所要求的动态特性，以控制器矩阵的形式得到了考虑问题的参数化解析解。通过选取控制器系数绝对值之和最小的参数，合成了状态矢量分量和控制位移值均较小的控制律。给出了仿真结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Parametric Minimization of Controller Matrix Norm at Stabilizing Spatial Motion of a Maneuverable Aircraft

This paper deals with stabilizing spatial motion of a maneuverable aircraft with three controls and nine state parameters. It is required to provide specified dynamic properties of the controlled plant at minimal control actions.To solve the assigned task the modification of the Bass – Gura formula is suggested, which allows analytically synthesizing stabilizing modal control for multi-input objects and simplifies parameterization of this control.For numeric matrices describing one of flight modes of the typical maneuverable aircraft and for required dynamic properties of the closed-loop control system a parameterized analytic solution of the considering problem is obtained in the form of controller matrix. A control law providing small values of state vector components and of controls shifts is synthesized by choosing the parameters minimizing the sum of controller coefficients absolute values. The simulation results are shown.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)

自引率

0.00%

发文量