Magnetic torquer attitude control via asymptotic periodic linear quadratic regulation

Psiaki, Mark L.

doi:10.2514/6.2000-4043

Cited by 71 publications

(115 citation statements)

References 13 publications

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“…If linearization is carried out about the equilibrium nadirpointing attitude, assuming a circular orbit, small Euler angles and deviation of body rates from nominal values, the following linearized model can be produced [5]. Once a satellite has acquired an Earth pointing attitude on orbit (i.e.…”

Section: Spacecraft Dynamics Under Magnetic Controlmentioning

confidence: 99%

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Attitude control of magnetically actuated satellites with an uneven inertia distribution

Wood

Chen

2013

Aerospace Science and Technology

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This paper considers magnetic attitude control of a satellite with one axis of inertia significantly lower than that of the other two. With onboard resources often limited, this paper considers the development of an effective control strategy that remains easy to implement. Often used in this type of application, the classical 'torque-projection' approach is shown to be unsuitable for satellites with an uneven inertia distribution. To tackle the weaknesses in this approach a new 'weighted' PD approach is proposed, with the control torque determined through minimisation of a simple cost function. Through a similar philosophy, a feed-forward compensator is designed to supplement the feedback control and improve the disturbance rejection characteristics of the controller. Simulations carried out on a high fidelity model demonstrate the effectiveness of the proposed control law and the significant performance benefits offered over existing approaches. INTRODUCTIONThe area of spacecraft magnetic attitude control is one that has attracted much recent attention in research literature. Use of magnetic dipoles to control the attitude of a spacecraft offers a lightweight, smooth, and cost-effective method of control. Although this is the case, the torque generated through use of magnetic dipoles is constrained to lie in the plane orthogonal to the local magnetic field vector, with one axis being instantaneously under-actuated. If the satellite is on an inclined orbit, suitable variation of the magnetic field allows controllability in the long term, but presents a significant challenge from a control perspective.Within the research literature a whole array of differing control strategies are proposed to deal with the magnetic attitude control problem. One of the simplest and most common control strategies is the 'torque projection' PD controller. An ideal control torque is calculated using a PD controller, with the assumption that full controllability is available.This ideal torque cannot be directly applied and as a design choice is projected onto the plane orthogonal to the Earth's magnetic field where the resulting torque can be realized.Firstly proposed in reference [1] and more recently in reference [2], the simplicity and ease of implementation of this controller has seen widespread industrial application.Although easy to implement, the use of PD control cannot always provide the required performance and as a result several authors investigate more advanced control strategies.The pseudo-periodic nature of the Earth's magnetic field has led to a number of studies into the use of optimal periodic control theory. Once of the earliest studies into infinite 3 horizon periodic control for the satellite attitude control problem is presented in reference Although more advanced control techniques such as optimal control and MPC undoubtedly provide improved performance over classic PD approaches, many magnetically actuated satellites do not have the onboard resources to implement the complex algorithms often associa...

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Section: Spacecraft Dynamics Under Magnetic Controlmentioning

confidence: 99%

“…Reference [5] presents the most significant work in this area, as the issue of onboard computation and storage requirements is avoided. Under certain assumptions the solution of the periodic Riccati equation is shown to tend to a constant value.…”

mentioning

confidence: 99%

Attitude control of magnetically actuated satellites with an uneven inertia distribution

Wood

Chen

2013

Aerospace Science and Technology

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“…By the periodic Linear Quadratic Regulator (LQR) technique, the solution to (2) was found in the form of the control law…”

Section: Lqr Controllermentioning

confidence: 99%

Design and testing of magnetic controllers for Satellite stabilization

Guelman¹,

Waller²,

Shiryaev³

et al. 2005

Acta Astronautica

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“…[11][12][13][14] In some cases, proportionaldifferential (PD) controllers are used and stability is proven via linear modeling. [15][16][17] Others have used adaptive and optimal control for better application [18][19][20] and fuzzy systems have also been used for satellite attitude control. [21][22][23] In our case, an adaptive fuzzy controller [24][25][26] is employed.…”

Section: Introductionmentioning

confidence: 99%

Adjustable Adaptive Fuzzy Attitude Control using Nonlinear SISO Structure of Satellite Dynamics

Moradi

Esmaelzadeh

Ghasemi

2012

Trans. Japan Soc. Aero. S Sci.

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This paper presents a method for three-dimensional attitude stabilization of a satellite. The pitch loop of the satellite is controlled by a momentum wheel; whereas the roll/yaw loops are stabilized using two magnetic torques along their respective axes. In order to design an efficient controller, the stability conditions are considered based on a nonlinear model of system. An adjustable adaptive fuzzy system is proposed as the method to design the controller. The span of membership functions are tuned using errors of fuzzy inputs with respect to their references. Results show that fuzzy sets cover all variations of fuzzy inputs and optimal fuzzy output is gained. The Lyapunov synthesis method is used to prove the stability of the closed-loop system. The efficiency of the controller in converging of the position error to close to zero is also shown using some numerical simulations.

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Magnetic torquer attitude control via asymptotic periodic linear quadratic regulation

Cited by 71 publications

References 13 publications

Attitude control of magnetically actuated satellites with an uneven inertia distribution

Attitude control of magnetically actuated satellites with an uneven inertia distribution

Design and testing of magnetic controllers for Satellite stabilization

Adjustable Adaptive Fuzzy Attitude Control using Nonlinear SISO Structure of Satellite Dynamics

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