Discrete-Time Stochastic Sliding Mode Control Using Functional Observation by Satnesh Singh & S. Janardhanan

Discrete-Time Stochastic Sliding Mode Control Using Functional Observation by Satnesh Singh & S. Janardhanan

Author:Satnesh Singh & S. Janardhanan
Language: eng
Format: epub
ISBN: 9783030328009
Publisher: Springer International Publishing


3.5 Simulation Results

Consider the unstable multi-input–multi-output linear discrete-time stochastic system (3.1), where the system parameter matrices are

The open-loop unstable eigenvalues of the matrix A are obtained as [6, pp 649–650]. The covariance of the process noise and measurement noises are and , respectively [7]. The parameters and are chosen as and . The initial conditions of the original system and observer are chosen arbitrarily as and .

The sliding function is obtained as



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