Disturbance accommodating controller for uncertain stochastic systems with controller saturation

Jemin George; Puneet Singla; John L. Crassidis

doi:10.2514/6.2009-5628

Disturbance accommodating controller for uncertain stochastic systems with controller saturation

Jemin George, Puneet Singla, John L. Crassidis

Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Observer based stochastic disturbance accommodating control scheme utilizes an estimator to determine the necessary corrections to the nominal control input and thus minimizes the adverse effects of both model uncertainties and external disturbances on the controlled system. The total control input, which includes the nominal control as well as the control corrections to the nominal control to accommodate for the disturbances, could exceed the actuator saturation limits. The saturation of the disturbance accommodating control system is more violent than that of the nominal control system because of the positive feedback of the disturbance compensation. This paper presents the formulation of the stochastic disturbance accommodating controller with actuator saturation for a class of uncertain linear stochastic systems. A Lyapunov based stochastic adaptive approach is used to update the control gains and the process noise covariance online so that the closed-loop stability of the controlled system is guaranteed.

Original language	English (US)
Title of host publication	AIAA Guidance, Navigation, and Control Conference and Exhibit
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781563479786
DOIs	https://doi.org/10.2514/6.2009-5628
State	Published - 2009

Publication series

Name	AIAA Guidance, Navigation, and Control Conference and Exhibit

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Aerospace Engineering
Control and Systems Engineering

Access to Document

10.2514/6.2009-5628

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George, J., Singla, P., & Crassidis, J. L. (2009). Disturbance accommodating controller for uncertain stochastic systems with controller saturation. In AIAA Guidance, Navigation, and Control Conference and Exhibit Article 2009-5628 (AIAA Guidance, Navigation, and Control Conference and Exhibit). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2009-5628

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abstract = "Observer based stochastic disturbance accommodating control scheme utilizes an estimator to determine the necessary corrections to the nominal control input and thus minimizes the adverse effects of both model uncertainties and external disturbances on the controlled system. The total control input, which includes the nominal control as well as the control corrections to the nominal control to accommodate for the disturbances, could exceed the actuator saturation limits. The saturation of the disturbance accommodating control system is more violent than that of the nominal control system because of the positive feedback of the disturbance compensation. This paper presents the formulation of the stochastic disturbance accommodating controller with actuator saturation for a class of uncertain linear stochastic systems. A Lyapunov based stochastic adaptive approach is used to update the control gains and the process noise covariance online so that the closed-loop stability of the controlled system is guaranteed.",

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George, J, Singla, P & Crassidis, JL 2009, Disturbance accommodating controller for uncertain stochastic systems with controller saturation. in AIAA Guidance, Navigation, and Control Conference and Exhibit., 2009-5628, AIAA Guidance, Navigation, and Control Conference and Exhibit, American Institute of Aeronautics and Astronautics Inc. https://doi.org/10.2514/6.2009-5628

Disturbance accommodating controller for uncertain stochastic systems with controller saturation. / George, Jemin; Singla, Puneet; Crassidis, John L.
AIAA Guidance, Navigation, and Control Conference and Exhibit. American Institute of Aeronautics and Astronautics Inc., 2009. 2009-5628 (AIAA Guidance, Navigation, and Control Conference and Exhibit).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Disturbance accommodating controller for uncertain stochastic systems with controller saturation

AU - George, Jemin

AU - Singla, Puneet

AU - Crassidis, John L.

PY - 2009

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N2 - Observer based stochastic disturbance accommodating control scheme utilizes an estimator to determine the necessary corrections to the nominal control input and thus minimizes the adverse effects of both model uncertainties and external disturbances on the controlled system. The total control input, which includes the nominal control as well as the control corrections to the nominal control to accommodate for the disturbances, could exceed the actuator saturation limits. The saturation of the disturbance accommodating control system is more violent than that of the nominal control system because of the positive feedback of the disturbance compensation. This paper presents the formulation of the stochastic disturbance accommodating controller with actuator saturation for a class of uncertain linear stochastic systems. A Lyapunov based stochastic adaptive approach is used to update the control gains and the process noise covariance online so that the closed-loop stability of the controlled system is guaranteed.

AB - Observer based stochastic disturbance accommodating control scheme utilizes an estimator to determine the necessary corrections to the nominal control input and thus minimizes the adverse effects of both model uncertainties and external disturbances on the controlled system. The total control input, which includes the nominal control as well as the control corrections to the nominal control to accommodate for the disturbances, could exceed the actuator saturation limits. The saturation of the disturbance accommodating control system is more violent than that of the nominal control system because of the positive feedback of the disturbance compensation. This paper presents the formulation of the stochastic disturbance accommodating controller with actuator saturation for a class of uncertain linear stochastic systems. A Lyapunov based stochastic adaptive approach is used to update the control gains and the process noise covariance online so that the closed-loop stability of the controlled system is guaranteed.

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BT - AIAA Guidance, Navigation, and Control Conference and Exhibit

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ER -

Disturbance accommodating controller for uncertain stochastic systems with controller saturation

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All Science Journal Classification (ASJC) codes

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