State-dependent Riccati equation techniques: an overview

Cloutier, J.R.

doi:10.1109/acc.1997.609663

Cited by 371 publications

(245 citation statements)

References 9 publications

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“…Note that the term related töonly appears in (28) but not in (30) to (33). This property is not shown in the equations of motion based on point .…”

Section: Formulations Based On the Mass Centermentioning

confidence: 99%

“…Korayem and Nekoo investigated the finite-time optimal and suboptimal controls for timevarying systems with state and control nonlinearities, and a finite-time constraint imposed on the equation leads to a state-dependent differential Riccati equation (SDDRE) [27]. Furthermore, there are some review papers addressing the SDRE method [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics and Control of a Tethered Satellite System Based on the SDRE Method

Kuo

2016

International Journal of Aerospace Engineering

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This paper presents the nonlinear dynamic modeling and control of a tethered satellite system (TSS), and the control strategy is based on the state-dependent Riccati equation (SDRE). The TSS is modeled by a two-piece dumbbell model, which leads to a set of five nonlinear coupled ordinary differential equations. Two sets of equations of motion are proposed, which are based on the first satellite and the mass center of the TSS. There are two reasons to formulate the two sets of equations. One is to facilitate their mutual comparison due to the complex formulations. The other is to provide them for different application situations. Based on the proposed models, the nonlinear dynamic analysis is performed by numerical simulations. Besides, to reduce the convergence time of the librations of the TSS, the SDRE control with a prescribed degree of stability is developed, and the illustrative examples validate the proposed approach.

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“…Note that the term related töonly appears in (28) but not in (30) to (33). This property is not shown in the equations of motion based on point .…”

Section: Formulations Based On the Mass Centermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics and Control of a Tethered Satellite System Based on the SDRE Method

Kuo

2016

International Journal of Aerospace Engineering

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“…The state-dependent Riccati equation (SDRE) control was initially derived by Cloutier, see [6] for an overview. The basic idea was motivated by linear quadratic regulation and introduces a factorization of a nonlinear system in a way that it becomes linear at any fixed statė…”

Section: A State-dependent Riccati Equation Controlmentioning

confidence: 99%

“…In [1], a nonlinear controller based on state-dependent Riccati equations (SDRE) has been proposed. The basic idea of the SDREapproach was developed by [6] and applied to a number of control problems also in aerospace applications, see e.g. [6], [9], but not yet to the control of a small quadrotor UAV.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear and neural network-based control of a small four-rotor aerial robot

Voos

2007

2007 IEEE/ASME International Conference on Advanced Intelligent Mechatronics

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Abstract-Small four-rotor aerial robots, so called quadrotor UAVs, have an enormous potential for all kind of neararea surveillance and exploration in military and commercial applications. In addition, they offer the possibility to fly either in-or outdoor. However, stabilizing control and guidance of these vehicles is a difficult task because of the nonlinear dynamic behavior. This paper describes the development of a nonlinear vehicle control system based on a combination of state-dependent Riccati equations (SDRE) and neural networks. Some first simulation results underline the performance of this new control approach for the current realization.

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Hierarchical Control and Planning for Advanced Morphing Systems

Kumar

Chakravorty

2012

Morphing Aerospace Vehicles and Structures

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State-dependent Riccati equation techniques: an overview

Cited by 371 publications

References 9 publications

Dynamics and Control of a Tethered Satellite System Based on the SDRE Method

Dynamics and Control of a Tethered Satellite System Based on the SDRE Method

Nonlinear and neural network-based control of a small four-rotor aerial robot

Hierarchical Control and Planning for Advanced Morphing Systems

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