On stability and stabilization of periodic discrete-time systems with an application to satellite attitude control

Αθανασόπουλος, Νικόλαος; Lazăr, Mircea; Böhm, Christoph; Allgöwer, Frank

doi:10.1016/j.automatica.2014.10.028

Cited by 9 publications

(6 citation statements)

References 14 publications

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“…Originally motivated by aerospace developments in the middle of the last century [5], [15], the rigid body attitude control problem has continued to attract attention with many applications such as aircraft attitude control [2], [32], spacial grabbing technology of manipulators [21], target surveillance by unmanned vehicles [24], and camera calibration in computer vision [20]. Furthermore, the configuration space of rigid-body attitudes is the compact non-Euclidean manifold SO (3), which poses theoretical challenges for attitude control [3].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Attitude Synchronization With Distributed Discontinuous Protocols

Wei

Zhang

Adaldo

et al. 2018

IEEE Trans. Automat. Contr.

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The finite-time attitude synchronization problem is considered in this paper, where the rotation of each rigid body is expressed using the axis-angle representation. Two discontinuous and distributed controllers using the vectorized signum function are proposed, which guarantee almost global and local convergence, respectively. Filippov solutions and non-smooth analysis techniques are adopted to handle the discontinuities. Sufficient conditions are provided to guarantee finite-time convergence and boundedness of the solutions. Simulation examples are provided to verify the performances of the control protocols designed in this paper.

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Section: Introductionmentioning

confidence: 99%

Finite-Time Attitude Synchronization With Distributed Discontinuous Protocols

Wei

Zhang

Adaldo

et al. 2018

IEEE Trans. Automat. Contr.

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“…Among these, multiagent systems with linear periodic dynamics that may be employed in several applications such as satellite networks or robotic systems, are considerable. The importance of the study of periodic control systems is that the properties of periodicity may be used to achieve more suitable design, and its capability allows better describing physical dynamics with cyclic behavior such as Low Earth Orbit (LEO) satellites or robotic systems [17][18][19]. Furthermore, the theory of periodic systems provides useful tools to improve the control performance of the closed-loop systems and also is adequate enough for solving the problems of time-invariant systems where time-invariant controllers are inadequate [20,21].…”

Section: Introductionmentioning

confidence: 99%

An Optimal Cooperative Control Design for State Consensus of Periodic Multiagent Systems

Ayatollahi

Majd

Nasrabadi

2018

Mathematical Problems in Engineering

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The problem of cooperative optimal control of multiagent systems with linear periodic continuous-time dynamics is considered. The state consensus problem is formulated as an optimal control problem in which the consensus requirement is reflected in the cost. The cost optimization of each subsystem is considered over finite horizon while the states of the agents converge to a common value, with a control signal that depends on the interactions of the neighboring subsystems. The proposed control law consists of a local and regional terms to capture local measurements and measurements due to interactions with the neighboring agents, respectively. These two terms are obtained by solving a Hamilton-Jacobi-Bellman partial differential equation. A numerical example is presented to demonstrate the effectiveness of the proposed method.

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“…Originally motivated by aerospace developments in the middle of the last century [4], [15], the rigid body attitude control problem has continued to attract attention with many applications such as aircraft attitude control [1], [31], spacial grabbing technology of manipulators [21], target surveillance by unmanned vehicles [24], and camera calibration in computer vision [20]. Furthermore, the configuration space of rigid-body attitudes is the compact non-Euclidean manifold SO (3), which poses theoretical challenges for attitude control [2].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic and finite-time almost global attitude tracking: representations free approach

Wei

Verginis

et al. 2018

2018 European Control Conference (ECC)

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In this paper, the attitude tracking problem is considered using the rotation matrices. Due to the inherent topological restriction, it is impossible to achieve global attractivity with any continuous attitude control system on SO(3). Hence in this work, we propose some control protocols achieve almost global tracking asymptotically and in finite time, respectively. In these protocols, no world frame is needed and only relative state informations are requested. For finitetime tracking case, Filippov solutions and non-smooth analysis techniques are adopted to handle the discontinuities. Simulation examples are provided to verify the performances of the control protocols designed in this paper.

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On stability and stabilization of periodic discrete-time systems with an application to satellite attitude control

Cited by 9 publications

References 14 publications

Finite-Time Attitude Synchronization With Distributed Discontinuous Protocols

Finite-Time Attitude Synchronization With Distributed Discontinuous Protocols

An Optimal Cooperative Control Design for State Consensus of Periodic Multiagent Systems

Asymptotic and finite-time almost global attitude tracking: representations free approach

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