Abstract
This chapter addresses the problem of sliding mode control (SMC) design using functional observers (FO) for discrete-time stochastic systems with norm-bounded parametric uncertainty in the system matrix. SMC is a powerful, robust control technique to stabilise discrete-time systems. However, the application of SMC becomes difficult when the system states are inaccessible for feedback. Hence the proposed method uses an FO-based approach for estimating SMC design. To mitigate the side effect of the parametric uncertainty on the estimation error, a sufficient condition for stability is provided based on Gershgorin’s circle theorem. The feasibility and effectiveness of our derived results are illustrated through a simulation example.
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Singh, S., Janardhanan, S. (2020). Stochastic Sliding Mode Control for Parametric Uncertain Systems Using a Functional Observer. In: Discrete-Time Stochastic Sliding Mode Control Using Functional Observation. Lecture Notes in Control and Information Sciences, vol 483. Springer, Cham. https://doi.org/10.1007/978-3-030-32800-9_5
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DOI: https://doi.org/10.1007/978-3-030-32800-9_5
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