Sliding mode control-based linear functional observers for discrete-time stochastic systems

Satnesh Singh and Sivaramakrishnan Janardhanan

International Journal of Systems Science, 2017, vol. 48, issue 15, 3246-3253

Abstract: Sliding mode control (SMC) is one of the most popular techniques to stabilise linear discrete-time stochastic systems. However, application of SMC becomes difficult when the system states are not available for feedback. This paper presents a new approach to design a SMC-based functional observer for discrete-time stochastic systems. The functional observer is based on the Kronecker product approach. Existence conditions and stability analysis of the proposed observer are given. The control input is estimated by a novel linear functional observer. This approach leads to a non-switching type of control, thereby eliminating the fundamental cause of chatter. Furthermore, the functional observer is designed in such a way that the effect of process and measurement noise is minimised. Simulation example is given to illustrate and validate the proposed design method.

Date: 2017
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DOI: 10.1080/00207721.2017.1367973

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