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Discrete Time Minimum Variance Control of Satellite System

  • Deepali Y. DubeEmail author
  • Hiren G. Patel
Conference paper
  • 22 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)

Abstract

This paper is concerned with the types of stochastic disturbances affecting the potential of the aerial system. The satellite system for continuous and discrete time domain is discussed. A phase lead compensator completes the orientation successfully. Astrom’s single-input single-output (SISO) model is implemented with using the minimum variance control strategy. The separation principle then provides the optimal control law which curtails the cost function to a value as small as possible. The satellite system is positioned for one quarter revolution with the co-ordination of generalized minimum variance controller (GMVC) and standard generalized dual controller (GDC) based on certainty equivalence assumption. The revolutions in radians are tracked as output of the system for the input specified in degrees to the system. The controller proved useful in reducing the overshoot and atmospheric disturbances which allows a stable motion even for larger time delays.

Keywords

Discrete time domain Single-input single-output Optimal control law 

Nomenclatures

e

Independent vector

k′

Gain factor

u(t)

Control signal

x

Radial perturbation

y(t)

System output

ωd

Damping frequency

ξ

Damping ratio

ξt

Gaussian white noise

GLA

Longitudinal disturbance

GP

Pressure disturbance

GT

Temperature disturbance

Iq

Covariance matrix

Ts

Time delay

V

Loss function

Wx

Weiner process

Yr

Desired signal

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.National Institute of TechnologySuratIndia
  2. 2.Department of Electrical EngineeringNational Institute of TechnologySuratIndia

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