Robust Fuel- and Time-Optimal Control of Uncertain Flexible Space Structures

Wie, Bong; Sinha, Ravi; Sunkel, John W.; Cox, K. J.

doi:10.1109/aerocs.1993.720899

Cited by 2 publications

(3 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While the optimization theory (Pontryagin's minimum principle) leads to bang-bang profile in time-optimal control, it results in a bang-off-bang profile in the fueland timeoptimal cases. The intuitive justification for penalizing the fuel consumed for large values of the weighting parameter, a , leads to the assumption of a control structure with only positive pulses in the acceleration phase before mid-maneuver time and only negative pulses in the deceleration phase after mid-maneuver time, as also seen in Wie et al (1993). Thus, the bang-off-bang control input profile is expressed in the frequency domain as a summation of time-delayed step-inputs where the time delays correspond to the switch times of the control:…”

Section: Parameterization Of the Control Profilementioning

confidence: 99%

“…Lopes de Souza (1988) improved the final behavior of the control system by replacing the approximate solution of the flexible mode subproblem with the exact one. Wie et al ( 1993) examined the robust fuel/time optimal control problem of undamped flexible structures with one and two flexible modes. They concluded that the &dquo;bang-off-bang&dquo; pulse sequences are the fuel/time optimal profiles.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fuel/Time Optimal Control of Flexible Space Structures: A Frequency Domain Approach

Hartmann

Singh

1999

Journal of Vibration and Control

View full text Add to dashboard Cite

This paper considers the design of open-loop fuel/time optimal controllers for flexible space structures using a frequency domain approach. The control system consists of a time-delay filter whose output signal is the optimal control profile when it is subject to a step input. A constrained parameter optimization problem is formulated to minimize a weighted combination of fuel consumed and total maneuver time for a rest-to-rest maneuver. The parameters to be optimized for are the delays of a time-delay filter. The number of switches of the fuel/time optimal control profile is shown to be a function not only of number of flexible modes but also of the weighting parameter, which is illustrated via numerical examples.

show abstract

Section: Parameterization Of the Control Profilementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fuel/Time Optimal Control of Flexible Space Structures: A Frequency Domain Approach

Hartmann

Singh

1999

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…Optimization of a rest-to-rest maneuver of flexible spacecraft can entail various objectives. For SC on long missions with a weak power-to-mass ratio, an important objective is to minimize the energy cost (VanderVelde and He, 1983;Wie et al, 1993;Singh, 1995;Meyer and Silverberg, 1996). For spacecraft dealing with astronomical observations and performing a great number of reorientation maneuvers, it may be important to minimize time.…”

Section: Introductionmentioning

confidence: 99%

Optimal Maneuver of Mechanical System with Internal Degrees of Freedom with State-Variable Constraint

Zakrzhevskii¹

2014

JMSIC

View full text Add to dashboard Cite

An effective procedure is presented for the determination of the optimal control input for maneuvers of a mechanical system with internal degrees of freedom such as a slewing of a spacecraft with flexible appendages or a displacement of a reservoir with a liquid for the case of constraint on velocity of the maneuver. The dynamic equations of motion are formulated, allowing taking into account the flexible elements using the quasistatical approach. The problem of optimal reorientation for rest-to-rest maneuvers is formulated using the objective function, which results in the minimal acceleration of the relative motion of the attached flexible elements during the maneuver. The new features and advantages of the proposed approach are the use of a not widely known objective function for the optimal control problem, which has a clear physical interpretation, and analytical solving the constrained optimization problem by the method based on parameterization of the functional for the multi-point boundary value problem. The solution is illustrated graphically. This analytical solution is applicable also for vibrations rejection at shaping the law of deployment of flexible constructions on spacecraft. It is useful for input shaping motion laws of objects of the ground-based transport in the modes of braking and acceleration for minimization of relative accelerations of passengers and goods.

show abstract

Robust Fuel- and Time-Optimal Control of Uncertain Flexible Space Structures

Cited by 2 publications

References 2 publications

Fuel/Time Optimal Control of Flexible Space Structures: A Frequency Domain Approach

Fuel/Time Optimal Control of Flexible Space Structures: A Frequency Domain Approach

Optimal Maneuver of Mechanical System with Internal Degrees of Freedom with State-Variable Constraint

Contact Info

Product

Resources

About