Discrete Time Minimum Variance Control of Satellite System

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


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.


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



Independent vector


Gain factor


Control signal


Radial perturbation


System output


Damping frequency


Damping ratio


Gaussian white noise


Longitudinal disturbance


Pressure disturbance


Temperature disturbance


Covariance matrix


Time delay


Loss function


Weiner process


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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