Control‐oriented modeling and deployment of tensegrity–membrane systems

Yang, Shu; Sultan, Cornel

doi:10.1002/rnc.3708

Cited by 15 publications

(12 citation statements)

References 51 publications

(78 reference statements)

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“…() In general, these applications request structures have high flexibility but relatively small mass to easily achieve the purpose of shape changing. A wide range of utilization can be found in large amounts of literatures throughout disciplines such as solar collection, space structures, communication antennas and bridge structures …”

Section: Introductionmentioning

confidence: 99%

“…Amouri et al presented a general methodology which is suitable for the control of the first vibration mode of a tensegrity footbridge. Recently, Yang and Sultan() validated the possibility of

H_{\infty}

control and the linear parameter‐varying (LPV) model in simulating tensegrity‐membrane systems.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the material nonlinearity and geometric nonlinearity of tensegrities, the structures are typically classified into nonlinear systems. () Accordingly, dynamic properties of such kind of systems should be investigated by nonlinear finite element methods theoretically . And the Newton‐Raphson method, which is known as the typical nonlinear method, has been proved efficient in solving nonlinear problems of tensegrity structures, especially in the region of elasto‐plastic analysis.…”

Section: Introductionmentioning

confidence: 99%

“…On the basis of this consideration, the state variables of the structural system can be reduced via linear elasticity simplifications, demonstrating the possibility of applying a relative simpler designing scheme for active vibration control of tensegrity systems. ()…”

Section: Introductionmentioning

confidence: 99%

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Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

Feng

Miah

2018

Struct Control Health Monit

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This study performs a series of numerical investigations of a novel energy-based control approach for effective vibration control of clustered tensegrity structures via different optimal active control algorithms. The comparative study among different control algorithms of clustered tensegrities are often challenging due to the geometrical non-linearity, complex loading conditions and assemblage uncertainties of structural components. In order to overcome these technical difficulties, an actuator input energy-based method is herein implemented to assess the optimal dynamic performances of clustered tensegrity structures via distinct optimal active control schemes. As a quantification tool, the structural displacement and elemental forces monitored from both the whole structure level and the elemental level were applied to assess control efficiency based on the same amount of actuator energy input. Specifically, the control efficiency comparisons are realized by setting identical energy input to actuated elements via linear-quadratic-Gaussian (LQG) and  ∞ algorithms. Different actuator placements of clustered cables and struts are considered and the control efficiency coefficients of the proposed method are examined through a spatial clustered tensegrity beam. The outcomes from the illustrative example indicate that the proposed method is efficient and reliable in comparative analyzing of different optimal active control schemes for clustered tensegrity structures, which implies the prospect of the investigated approach in analyzing and solving actual engineering problems. KEYWORDS active control algorithms, actuator placements, clustered tensegrity structures, control efficiency, energy-based control Struct Control Health Monit. 2018;25:e2215.wileyonlinelibrary.com/journal/stc

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Section: Introductionmentioning

confidence: 99%

“…Amouri et al presented a general methodology which is suitable for the control of the first vibration mode of a tensegrity footbridge. Recently, Yang and Sultan() validated the possibility of

H_{\infty}

control and the linear parameter‐varying (LPV) model in simulating tensegrity‐membrane systems.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

Feng

Miah

2018

Struct Control Health Monit

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“…Also, in a study aimed at developing fast and robust deployment strategies for tensegrity structures deployment between two equilibria, equilibrium paths were used to build trajectories that were accurately tracked by a nonlinear robust controller, but the state space trajectories were not maintained close to the equilibrium paths. Recently, adaptive and robust controllers have been developed for tensegrity‐membrane systems deployment and to track desired trajectories generated using equilibrium paths. Equilibrium paths are also used in gain scheduling, where the standard approach is to linearize the nonlinear system about several equilibrium points that may belong to the same equilibrium path to obtain a parameterized family of linearized plants that are used to design gain‐scheduled controllers (see the work of Silvestre et al for details and an application to an unmanned vehicle control problem).…”

Section: Introductionmentioning

confidence: 99%

Close tracking of equilibrium paths

Sultan

2018

Intl J Robust & Nonlinear

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Summary A method to control a generic system of nonlinear ordinary differential equations between equilibrium states is analyzed. The objective is to ensure that the system's state space trajectory closely tracks an equilibrium path. The control law is obtained via time parameterization of the corresponding equilibrium control path. Conditions which guarantee that the system's state space trajectory closely tracks the equilibrium path are proved using two approaches. One approach uses the mean value theorem, and the other uses the slowly time‐varying systems theory. Importantly, both methods provide relationships between the control rate norm and the tracking error norm. These allow computation of upper bounds on the control rate norm which guarantee a desired upper bound on the tracking error norm. They also enable computation of upper bounds on the tracking error norm for a given upper bound on the control rate norm. Examples illustrate the theoretical results.

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Deployment of a foldable tensegrity‐membrane system via configuration transitions using linear parameter‐varying control

Yang

2021

Struct Control Health Monit

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Controlled deployment of a foldable tensegrity-membrane system is investigated in this article. A membrane folding technique referred to as the spiral folding pattern is applied to the attached membrane to achieve compact folded shapes for the system. The foldable tensegrity-membrane system experiences transitions between two system configurations (i.e., the tensegrity configuration and the tensegrity-membrane configuration) due to the variation of membrane loading states during system deployment. A closed-loop control strategy consisting of two linear parameter-varying (LPV) controllers is designed based on control-oriented models to regulate system dynamics. A nonlinear finite element model is used to examine the control performance. Senor noise is considered in another nonlinear finite element simulation to examine the robustness of the designed controllers. K E Y W O R D Scontrol-oriented model, equilibrium conditions, foldable tensegrity-membrane systems, LPV control, nonlinear finite element model | INTRODUCTIONFolding and deployment techniques enable structures and architectures of large dimensions to be stowed during transportation and to be deployed at operational states. Such deployable structure concepts meet design requirements of large deployable spacecraft, leading to several successful applications such as the James Webb Space Telescope (JWST) 1 and NASA's Soil Moisture Active Passive (SMAP) spacecraft. 2 Folding mechanisms were employed to stow the primary and secondary mirrors, membrane sunshields, and the overall telescope to ensure that the folded JWST fits the fairing of a launch vehicle. 3 As a key system component of NASA SMAP spacecraft, a 6-m AstroMesh-Lite reflector, consisting of a truss support structure and a membrane surface, could be stowed to reduce its envelope during launch and be deployed in orbit by controlling the shape of the truss support structure. 4 Folding techniques also enable large spacecraft components such as membranes, solar arrays, and thermal protection panels to be folded to achieve compact packaged shapes. Recently, an ultralight deployable space structure composed of independent bending-stiff trapezoid strips and membranes was designed based on a two-stage packaging/folding concept. 5,6 An origami-based folding concept was recently developed to ensure that an aeroshell of a Mars entry vehicle could be stowed efficiently during the launch phase and be deployed during the entry phase to perform vehicle thermal protection. 7 An origami folding pattern was employed in the design of large spacecraft arrays to achieve self-deployment, self-stiffening, and retraction. 8 Membrane folding patterns such as rotationally skew folding, spiral folding, circumferential folding, and curved circumferential

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Control‐oriented modeling and deployment of tensegrity–membrane systems

Cited by 15 publications

References 51 publications

Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

Close tracking of equilibrium paths

Deployment of a foldable tensegrity‐membrane system via configuration transitions using linear parameter‐varying control

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