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Controllability Analysis for Multirotor Helicopter Rotor Degradation and Failure (1403.5986v3)

Published 24 Mar 2014 in cs.SY and cs.RO

Abstract: This paper considers the controllability analysis problem for a class of multirotor systems subject to rotor failure/wear. It is shown that classical controllability theories of linear systems are not sufficient to test the controllability of the considered multirotors. Owing to this, an easy-to-use measurement index is introduced to assess the available control authority. Based on it, a new necessary and sufficient condition for the controllability of multirotors is derived. Furthermore, a controllability test procedure is approached. The proposed controllability test method is applied to a class of hexacopters with different rotor configurations and different rotor efficiency parameters to show its effectiveness. The analysis results show that hexacopters with different rotor configurations have different fault-tolerant capabilities. It is therefore necessary to test the controllability of the multirotors before any fault-tolerant control strategies are employed.

Citations (59)

Summary

  • The paper analyzes multirotor helicopter controllability under rotor degradation and failure, addressing limitations of classical theories using linear models and an extended framework.
  • A key contribution is the introduction of the Available Control Authority Index (ACAI), a quantitative measure used in a necessary and sufficient condition for assessing multirotor controllability with constraints.
  • The study proposes a step-by-step controllability testing procedure applicable to different rotor configurations, identifying setups that maintain control even with some rotor failures.

Controllability Analysis of Multirotor Helicopters in the Presence of Rotor Degradation and Failure

The paper entitled "Controllability Analysis for Multirotor Helicopter Rotor Degradation and Failure" explores the critical issue of fault tolerance and controllability in multirotor helicopters. Given the increasing utilization of multirotor helicopters in various applications, such as surveillance and rescue missions, understanding their controllability in the face of mechanical failures is vital. The authors focus on the fundamental analysis of fault tolerance by investigating the multirotor system's ability to maintain control despite rotor faults.

The paper utilizes linear dynamical models to address control reconfigurability challenges. Highlighting that conventional controllability theories are inadequate due to the unidirectional lift constraint of multirotor systems, the authors introduce a new framework for evaluating controllability using the extended theory proposed by Brammer. This revision tackles the limitations of classical approaches, which fail to accommodate the practical constraints faced by these systems.

A key contribution of the paper is the introduction of the Available Control Authority Index (ACAI). This index serves as a quantitative measure of the control capacity of a multirotor helicopter, allowing assessment of how well the system can manage its control parameters amidst rotor degradation or failure. The ACAI stands as an instrumental component in the proposed necessary and sufficient condition for assessing the controllability of multirotor configurations.

The paper details a step-by-step procedure for testing the controllability of multirotor systems, emphasizing its applicability to different rotor configurations of systems such as hexacopters. This procedure includes evaluating the structural rank of the system's controllability matrix and calculating the ACAI to ensure the system's control constraints are met.

Empirical analysis within the paper draws attention to different rotor configurations, demonstrating varied fault tolerance capabilities. Specific configurations that preserve system controllability, even when some rotors fail, were identified. This insight is notably critical where flight safety and operational integrity are paramount.

The practical implications of these findings suggest that before deploying any fault-tolerant control strategies, it is crucial to conduct thorough controllability assessments. This examination not only informs the choice of control strategy but also assists in the design of more resilient multirotor helicopter configurations.

Theoretically, this work expands on the existing body of knowledge concerning the controllability of systems constrained by positive controls. The introduction of the ACAI and the proposed analysis methodology may inform future developments in automation and control systems, especially when adapting to unplanned system constraints or failures.

In conclusion, the paper offers significant insights into multirotor control dynamics and lays a foundation for both practical applications and further theoretical explorations within the field of robotics and control systems. The methodologies proposed not only address current gaps in control theory for multirotor systems but also provide scalable solutions pertinent to futuristic aviation technologies. Future research could focus on refining these methodologies and expanding them to include emerging forms of aerial vehicles and their unique operational challenges.

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