Robust eigensystem assignment for flexible structures

Juang, Jer‐Nan; Lim, Kyong B.; Junkins, John L.

doi:10.2514/6.1987-2252

Cited by 26 publications

(35 citation statements)

References 9 publications

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“…Kautsky et al [3] showed that the assigned poles were as insensitive as possible to perturbation of the gains and system matrix terms when the closed-loop eigenvectors were made to be as close to orthogonal as possible. Juang et al [4] used QR decomposition (equivalently singular value decomposition) to make the closed-loop eigenvalues as well conditioned as possible, thereby extending the work of Kautsky et al [3]. Juang and Maghami [5] considered the second-order matrix pencil and assigned the poles of the system robustly, so the closed-loop eigenvectors were chosen to be as close as possible to a well-conditioned matrix.…”

Section: Introductionmentioning

confidence: 98%

Robust pole placement in structures by the method of receptances

Tehrani

Mottershead

Shenton

et al. 2011

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 98%

Robust pole placement in structures by the method of receptances

Tehrani

Mottershead

Shenton

et al. 2011

Mechanical Systems and Signal Processing

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“…One strategy for attitude control of flexible spacecraft is to stabilize the platform in the inertial frame while redirecting the flexible appendage-for instance, an antenna-with respect to the stationary platform to coincide with the lines of sight. To do this, many linear and nonlinear control techniques have been proposed such as disturbance accommodating control [1], PI control [2], linear optimal control (LQR) [1,3], output feedback [4], eigensystem assignment [5], and model reference adaptive control [6,7]. Although most of these controllers show promising results, this paper presents the framework for another type of nonlinear controller which is easy to implement.…”

Section: Introductionmentioning

confidence: 99%

Takagi-Sugeno Fuzzy Model-Based Control of Spacecraft with Flexible Appendage

Ayoubi

Sendi

2014

J of Astronaut Sci

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This paper presents a Takagi-Sugeno (T-S) fuzzy model-based approach to model and control a rigid spacecraft with flexible antenna. First, the equations of motion of the flexible spacecraft, which are based on Lagrange equations and given in terms of quasi-coordinates and the Rayleigh-Ritz method, are briefly reviewed. Then, the T-S fuzzy modeling and the parallel distributed compensation control technique are introduced. We utilize full state-feedback and optimal H ∞ robustness performance via a T-S fuzzy model to achieve position and attitude stabilization, vibration suppression, and disturbance rejection objectives. Finally, this technique is applied to the flexible spacecraft equations of motion resulting in a nonlinear controller. The controller produces an asymptotically stable closed-loop system which is robust to external disturbances and has a simple structure for straightforward implementation. Numerical simulation is provided for performance evaluation of the proposed controller design.

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“…As a special case of (1), second-order descriptor linear systems have been applied in many fields, such as vibration and structural analysis, spacecraft control and robot control, hence have attracted much attention of research [1][2][3][4][5][6][7][8]11,[13][14][15][16][17]20]. Concerning the control of second-order linear systems, most of results concern stabilization [6,17,20], pole assignment [2][3][4]6,14] and eigenstructure (i) i order derivative of x d e tracking error vector e (i) i …”

Section: Introductionmentioning

confidence: 99%

“…Concerning the control of second-order linear systems, most of results concern stabilization [6,17,20], pole assignment [2][3][4]6,14] and eigenstructure (i) i order derivative of x d e tracking error vector e (i) i …”

Section: Introductionmentioning

confidence: 99%