The Strictly Dissipative Condition of Continuous-Time Markovian Jump Systems with Uncertain Transition Rates
MATHEMATICS(2024)
摘要
This study addresses the problem of strictly dissipative stabilization for continuous-time Markovian jump systems (MJSs) with external disturbances and generally uncertain transition rates that contain completely unknown transition rates and their bound values. A stabilization condition is obtained to guarantee strict dissipativity for the MJSs with partial knowledge in terms of the transition rates. To reduce the conservativity of the proposed condition, we used a boundary condition related to the bounds of the transition rate with slack variables. Finally, two simulation results are presented to describe the feasibility of the proposed controller.
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关键词
Markovian jump system,linear matrix inequality,dissipativity control
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