This study considers the stabilisation of power systems subject to random jumps. Transient, permanent faults of power lines, and the consequent switching of the associated circuit breakers are represented as a discrete-time Markov chain. The controller is designed for Markov jump linear systems based on transition probabilities obtained from statistical data of the faults. The linear matrix inequalities framework is used as a tool for designing the proposed controller. The controller provides desired performance swiftness via regional pole placement with the constraint of system load variations and random variations in the topology. The effectiveness of the power system stabiliser is studied on a single-machine infinite-bus and multi-machine systems.
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