Journal
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Volume 44, Issue 7, Pages 1359-1372Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/01423312211053065
Keywords
Markov jump systems; discrete time; unknown input observer; linear matrix inequality
Funding
- Natural Science Foundation of Liaoning Province of China [2020-MS210]
- Science Research Project of Liaoning Education Department [LJKZ0143]
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This paper studies the design problem of unknown input observer for a class of nonlinear discrete time Markov jump systems, proposing feasibility conditions based on Lyapunov function. The conditions are transformed into a set of linear matrix inequality conditions for easy parameter solving using related software toolbox. An example of nonlinear tunneling diode circuit is provided to verify the feasibility and effectiveness of the proposed method.
In this paper, the design problem of unknown input observer for a class of nonlinear discrete time Markov jump systems has been studied. The state equation of the system with unknown input and actuator faults is considered. The unknown input observer has a relatively novel structure and can be applied to nonlinear discrete time Markov jump systems to estimate the system state and fault at the same time. Second, the design feasibility conditions of the unknown input observer based on Lyapunov function are given. Furthermore, the conditions are transformed into a set of linear matrix inequality conditions, which can be used to solve the parameters easily by using the related software toolbox. Finally, an example of nonlinear tunneling diode circuit is given to verify the feasibility and effectiveness of the proposed method.
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