5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback

This paper describes 5-axis centralized feedback control system for a single-rotor helicopter. Optimal control theory is directly applied to 25-state Multiple-Input Multiple-Output (MIMO) analytical linear model of a small-scale unmanned helicopter without decoupling the motion dynamics. The linear...

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Main Authors: Naomichi ISOMURA, Takayuki SHIOKAWA, Daigo FUJIWARA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2016-05-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00660/_pdf/-char/en
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author Naomichi ISOMURA
Takayuki SHIOKAWA
Daigo FUJIWARA
author_facet Naomichi ISOMURA
Takayuki SHIOKAWA
Daigo FUJIWARA
author_sort Naomichi ISOMURA
collection DOAJ
description This paper describes 5-axis centralized feedback control system for a single-rotor helicopter. Optimal control theory is directly applied to 25-state Multiple-Input Multiple-Output (MIMO) analytical linear model of a small-scale unmanned helicopter without decoupling the motion dynamics. The linear Kalman filter is also designed for an estimation of the blade flapping and lagging angles and the down-wash which are utilized in the state feedback control law. In the comparison with the distributed control system using the Single-Input Single-Output (SISO) controller which is common approach for flight control, this full-axis centralized control system includes the effects of cross-coupling dynamics and enables a design for full control-axis at once in a short amount of time. Flight test with this method demonstrated a steady hover control performance through attitude, position, and main rotor speed. Simple tuning way of weighting matrix used in the quadratic cost function is also presented to deal with a difficult problem caused by a large number of design parameters or the undesirable coupled vibration. Stability analysis of the closed loop system using MIMO plant model reveals that MIMO controller provides greater and better balance stability margins for every control-axis than SISO controller does. In addition, a frequency characteristic analysis is conducted using MIMO plant models based on different flight conditions, which showed a good robustness of the MIMO controller toward modeling errors and also the effect of extra flight conditions on the robustness of each control-axis.
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spelling doaj.art-220b658f92f447e695a468b8e0f60a482022-12-22T02:47:22ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612016-05-018283715-0066015-0066010.1299/transjsme.15-00660transjsme5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedbackNaomichi ISOMURA0Takayuki SHIOKAWA1Daigo FUJIWARA2Chiba Univ. Graduate School of EngineeringChiba Univ. Graduate School of EngineeringChiba Univ. Graduate School of EngineeringThis paper describes 5-axis centralized feedback control system for a single-rotor helicopter. Optimal control theory is directly applied to 25-state Multiple-Input Multiple-Output (MIMO) analytical linear model of a small-scale unmanned helicopter without decoupling the motion dynamics. The linear Kalman filter is also designed for an estimation of the blade flapping and lagging angles and the down-wash which are utilized in the state feedback control law. In the comparison with the distributed control system using the Single-Input Single-Output (SISO) controller which is common approach for flight control, this full-axis centralized control system includes the effects of cross-coupling dynamics and enables a design for full control-axis at once in a short amount of time. Flight test with this method demonstrated a steady hover control performance through attitude, position, and main rotor speed. Simple tuning way of weighting matrix used in the quadratic cost function is also presented to deal with a difficult problem caused by a large number of design parameters or the undesirable coupled vibration. Stability analysis of the closed loop system using MIMO plant model reveals that MIMO controller provides greater and better balance stability margins for every control-axis than SISO controller does. In addition, a frequency characteristic analysis is conducted using MIMO plant models based on different flight conditions, which showed a good robustness of the MIMO controller toward modeling errors and also the effect of extra flight conditions on the robustness of each control-axis.https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00660/_pdf/-char/ensingle-rotor helicopterflight controlmimo system5-axisoptimal state feedbackcentralized controltuning methodstability marginflight conditionrobustness
spellingShingle Naomichi ISOMURA
Takayuki SHIOKAWA
Daigo FUJIWARA
5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
Nihon Kikai Gakkai ronbunshu
single-rotor helicopter
flight control
mimo system
5-axis
optimal state feedback
centralized control
tuning method
stability margin
flight condition
robustness
title 5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
title_full 5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
title_fullStr 5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
title_full_unstemmed 5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
title_short 5-axis centralized hover control and considerations to stability of single-rotor helicopters with optimal state feedback
title_sort 5 axis centralized hover control and considerations to stability of single rotor helicopters with optimal state feedback
topic single-rotor helicopter
flight control
mimo system
5-axis
optimal state feedback
centralized control
tuning method
stability margin
flight condition
robustness
url https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00660/_pdf/-char/en
work_keys_str_mv AT naomichiisomura 5axiscentralizedhovercontrolandconsiderationstostabilityofsinglerotorhelicopterswithoptimalstatefeedback
AT takayukishiokawa 5axiscentralizedhovercontrolandconsiderationstostabilityofsinglerotorhelicopterswithoptimalstatefeedback
AT daigofujiwara 5axiscentralizedhovercontrolandconsiderationstostabilityofsinglerotorhelicopterswithoptimalstatefeedback