Reliable gain-scheduled control of discrete-time systems and its application to CSTR model

R. Sakthivel, S. Selvi, K. Mathiyalagan and Y. Shi

International Journal of Systems Science, 2016, vol. 47, issue 14, 3447-3454

Abstract: This paper is focused on reliable gain-scheduled controller design for a class of discrete-time systems with randomly occurring nonlinearities and actuator fault. Further, the nonlinearity in the system model is assumed to occur randomly according to a Bernoulli distribution with measurable time-varying probability in real time. The main purpose of this paper is to design a gain-scheduled controller by implementing a probability-dependent Lyapunov function and linear matrix inequality (LMI) approach such that the closed-loop discrete-time system is stochastically stable for all admissible randomly occurring nonlinearities. The existence conditions for the reliable controller is formulated in terms of LMI constraints. Finally, the proposed reliable gain-scheduled control scheme is applied on continuously stirred tank reactor model to demonstrate the effectiveness and applicability of the proposed design technique.

Date: 2016
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DOI: 10.1080/00207721.2015.1084395

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