Time-varying exponential stabilization of a rigid spacecraft with two control torques

Morin, Pascal; Samson, Claude

doi:10.1109/9.566663

Cited by 177 publications

(72 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fig. 4 and 5 display the attitude history from initial conditions set to (2,1,1). For the analysis of the disturbance attenuation properties, we also display the value of the HJI function for different gains.…”

Section: Simulationmentioning

confidence: 99%

“…Underactuated control is a scenario where fewer than three actuators are used to provide three axis control. Many results have been reported in cases of two pairs of thrusters and two reaction wheels [2]- [8]. The first application of underactuated attitude control was done for a system with two pairs of thrusters.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, only an asymmetric about the underactuated axis satellite can be controllable as the coupling terms in the underactuated axis can be used as a fictitious control input [5]- [7]. The attitude of the satellite can be globally stabilized by discontinuous time-invariant feedback or time varying feedback control [2]- [7]. Considering momentum exchange devices, most of the research effort was concentrated to systems where the tota angular momentum is zero, i.e.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Underactuated Satellite Attitude Control with Two Parallel CMGs

Han

Pechev

2007

2007 IEEE International Conference on Control and Automation

View full text Add to dashboard Cite

Abstract-In this paper, we study the attitude stability and the disturbance attenuation properties for an underactuated spacecraft equipped with two parallel CMGs. We first present the actuator configuration and then compare this with typical fully actuated CMG-based configurations. The system model is then derived. Considering the pointing of an underactuated spacecraft, we derive a Lyapunov control law which is further modified to a dissipative controller to account for disturbances. Simulations are included to demonstrate the effectiveness of the proposed control law to attenuate perturbations and to render the underactuated attitude closed-loop system to a dissipative system.

show abstract

Section: Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Underactuated Satellite Attitude Control with Two Parallel CMGs

Han

Pechev

2007

2007 IEEE International Conference on Control and Automation

View full text Add to dashboard Cite

show abstract

“…The stabilizing control problem remains a challenging problem in the case of submarine systems, especially when the vehicle is reduced in sizes and weight. Even if an explicitly time-varying or a discontinuous laws solve the stabilizing control problem for a large underactuated autonomous systems (Coron and Rosier, 1994), (Morin and Samson, 1997), (Pettersen and Nijmeijer, 2001), a depth analysis of each vehicle's model is required to design a stabilizing controller. In this paper, we study an ultraportable submarine vehicle, called ROV, and is expected for observation and exploration insubsea historical sites.…”

Section: Introductionmentioning

confidence: 99%

Explicit Homogeneous Time-varying Stabilizing Control of a Submarine Vehicle (ROV)

2013

Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics

View full text Add to dashboard Cite

Abstract:The stabilizing control problem of a Remotely Operated Vehicle (ROV) for a submarine observing operation is solved explicitly using a homogeneous time-varying controller. We prove that the ROV kino-dynamic model fails the Brockett's necessary condition, consequently, the system's equilibrium cannot be stabilized using continuous pure state feedback laws. Our control strategy is based on a continuous time-varying feedback law taking into account coupling terms due to underactuation and nonlinearities. It is shown that the feedback law stabilizes the ROV at the origin, and this is illustrated by simulations.

show abstract

“…For example, in [8], it was applied to construct an explicit timevarying feedback laws for attitude stabilization of a spacecraft subject to twodimensional control. Recently, in [5], the authors studied weak exponential stability of time-varying linear control systems and applied their results to prove the existence of almost closed relative trajectories for satellite formation flying with single-input control.…”

Section: Introductionmentioning

confidence: 99%

Weak Exponential Stability for Time-Periodic Differential Inclusions via First Approximation Averaging

Gama

Smirnov

2012

Set-Valued Var. Anal

View full text Add to dashboard Cite

Abstract. In this work we propose a method to study a weak exponential stability for time-varying differential inclusions applying an averaging procedure to a first approximation. Namely, we show that a weak exponential stability of the averaged first approximation to the differential inclusion implies the weak exponential stability of the original time-varying inclusion. The result is illustrated by an example.Mathematics Subject Classification (2010). Primary 34A60; Secondary 34C29.

show abstract

Time-varying exponential stabilization of a rigid spacecraft with two control torques

Cited by 177 publications

References 12 publications

Underactuated Satellite Attitude Control with Two Parallel CMGs

Underactuated Satellite Attitude Control with Two Parallel CMGs

Explicit Homogeneous Time-varying Stabilizing Control of a Submarine Vehicle (ROV)

Weak Exponential Stability for Time-Periodic Differential Inclusions via First Approximation Averaging

Contact Info

Product

Resources

About