Application of the SDRE Technique in the Satellite Attitude and Orbit Control System with Nonlinear Dynamics

Romero, Alessandro Gerlinger; Souza, Luiz Carlos Gadelha de; Chagas, Ronan Arraes Jardim

doi:10.2514/6.2018-2536

Cited by 8 publications

(11 citation statements)

References 7 publications

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“…To the best of our knowledge, the proof of concept of the open-source satellite simulator for SDRE controllers is original. 17,18,21 Moreover, the simulator can run in a variety of platformsincluding an Android operating system in a remote sensing CubeSat-and it has low cost. It is worth mentioning that 39.33% of the cost of CONASAT was selected for the acquisition of software license (page 12, Ref.…”

Section: Resultsmentioning

confidence: 99%

“…(14), the state space model can be defined using Eqs. (5) (Ω) and (18). However, the SDC matrices do not fulfill the SDRE requirements, in particular, the pair ðA; BÞ is not pointwise stabilizable.…”

Section: Nonlinear Control Based On State-dependent Riccati Equation mentioning

confidence: 99%

“…(18) (applying the property v × w ¼ −w × v):E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 8 ; 1 1 6 ; 5 6 2…”

mentioning

confidence: 99%

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State-dependent Riccati equation controller using Java in remote sensing CubeSats

Romero

Souza

2019

J. Appl. Rem. Sens.

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STRaND and PhoneSat programs have attracted the attention of the aerospace community by applying, in CubeSats, commercial off-the-shelf smartphones based on Google's Android. In Android, the development commonly applies Java hence this language is a natural candidate for the attitude and orbit control subsystem (AOCS). Moreover, such AOCS can be designed with success by linear control theory; however, the linearized models are not able to represent all the effects of the nonlinear terms present in the dynamics. Therefore, nonlinear control techniques can yield better performance. An example is the Nano-Satellite Constellation for Environmental Data Collection, used as the reference in this work, a set of remote sensing CubeSats from the Brazilian National Institute for Space Research, in which the AOCS must stabilize the satellite in three-axes. We present the investigation of a state-dependent Riccati equation (SDRE) controller, a nonlinear controller, based on attitude errors given by quaternions. The investigation uses Java, accordingly, it can run on an Android operating system in a CubeSat, and it has low cost. Two controllers (linear and SDRE) were evaluated using a Monte Carlo perturbation model. The initial results show that the SDRE controller provides better performance.

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Section: Resultsmentioning

confidence: 99%

Section: Nonlinear Control Based On State-dependent Riccati Equation mentioning

confidence: 99%

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State-dependent Riccati equation controller using Java in remote sensing CubeSats

Romero

Souza

2019

J. Appl. Rem. Sens.

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“…The state-dependent Riccati equation (SDRE) is a closed-loop optimal nonlinear controller introduced in the 1960s [30]. The utilization of the quaternion in SDRE was explored in several platforms such as satellite [31,32], spacecraft [33][34][35][36], spacecraft in proximity operations [37], attitude control of a rigid body [38], and remote sensing CubeSats [39]. Here we present the state-dependent differential Riccati equation (SDDRE) control based on quaternion for quadcopter dynamic systems.…”

Section: Introductionmentioning

confidence: 99%

Quaternion-based state-dependent differential Riccati equation for quadrotor drones: Regulation control problem in aerobatic flight

2022

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The quaternion is a powerful and common tool to avoid singularity in rotational dynamics in three-dimensional (3D) space. Here it has been particularly used as an alternative to Euler angles and rotation matrix. The application of the quaternion is exercised in quadrotor modeling and control. It changes the dynamics and represents a singularity-free attitude model. Here for the first time (for the best knowledge of authors), the state-dependent differential Riccati equation (SDDRE) control has been implemented on the quaternion-based model of a quadcopter. The proposed control structure is capable of aerobatic flight, and the Pugachev’s Cobra maneuver is chosen to assess the capability of the quaternion-based SDDRE approach. The introduced control simulator is validated by comparison with conventional dynamics based on Euler angles, controlled using a proportional-derivative (PD) controller on a normal regulation flight. The simulator successfully performed the Cobra maneuver and also validated the proposed structure. The more precision in regulation along with lower energy consumption demonstrated the superiority of the introduced approach.

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“…A good survey of the SDRE technique can be found in [3] and its systematic application to deal with a nonlinear plant in [4]. The SDRE technique was applied by [5,6,7,8,9] for controlling a nonlinear system similar to the six-degree of freedom satellite model considered in this paper.…”

Section: Introductionmentioning

confidence: 99%

An Approach to Evaluate the Region of Attraction of Satellites Controlled by SDRE

Romero

Souza

2022

Wseas Transactions on Systems

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The control of a satellite can be designed with success by linear control theory if the satellite has slow angular motions. However, for fast maneuvers, the linearized models are not able to represent the effects of the nonlinear terms. One candidate technique for the design of the satellite’s control under fast maneuvers is the State- Dependent Riccati Equation (SDRE). SDRE provides an effective algorithm for synthesizing nonlinear feedback control by allowing nonlinearities. Nonetheless, much criticism has been leveled against the SDRE because it does not provide assurance of global asymptotic stability. Additionally, there are situations in which global asymptotic stability cannot be achieved (e.g., systems with multiple equilibrium points). Therefore, especially in aerospace, estimating the region of attraction (ROA) is fundamental. The Brazilian National Institute for Space Research (INPE, in Portuguese) was demanded by the Brazilian government to build remote-sensing satellites, such as the Amazonia-1 mission. In such missions, the satellite must be stabilized in three axes so that the optical payload can point to the desired target. In this paper, we share an approach to evaluate the ROAs of Amazonia-1 controlled by LQR (the linear counterpart of SDRE) and SDRE. The initial results showed SDRE has a larger ROA than LQR.

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Application of the SDRE Technique in the Satellite Attitude and Orbit Control System with Nonlinear Dynamics

Cited by 8 publications

References 7 publications

State-dependent Riccati equation controller using Java in remote sensing CubeSats

State-dependent Riccati equation controller using Java in remote sensing CubeSats

Quaternion-based state-dependent differential Riccati equation for quadrotor drones: Regulation control problem in aerobatic flight

An Approach to Evaluate the Region of Attraction of Satellites Controlled by SDRE

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