Simultaneous design of H∞ model predictive controller and persistent dwell time switching signal for a class of nonlinear switched systems with unstabilizable sub-systems

Document Type : Original Article

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1 Student

2 Faculty

Abstract

In this paper, simultaneous design of the model predictive control and persistent dwell time switching signal is investigated for a class of discrete-time nonlinear switched systems. In the proposed design, the assumption of stabilizability of all sub-systems is removed. The suggested methodology introduces an online framework that guarantees the H∞ performance against external disturbances. Multiple Lyapunov functions are used to ensure the overal stability of the control system. Also, two different types of cost functions are defined, including cost function with finite predictive horizon for unstabilizable sub-systems and cost function with infinite predictive horizon for stabilizable sub-systems. The sequence of applying constraints in the developed LMI problem is chosen in such a way that the rate of energy variations in different sub-systems can be adjusted and the asymptotic stability of the whole system is guaranteed. This design reduces the conservative aspects of other model predictive schemes in which arbitrary switching signal and switched Lyapunov function are used. Finally, to validate the proposed design, a chemical system is developed, and the performance of the proposed design is evaluated.

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TABRIZ JOURNAL OF ELECTRICAL ENGINEERING

Articles in Press, Corrected Proof
Available Online from 16 December 2023

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