Tracking control of discrete-time Markovian jump systems

Guangtai Tian

International Journal of Systems Science, 2020, vol. 51, issue 15, 3070-3080

Abstract: This paper is concerned with the model reference tracking control (MRTC) problem of discrete-time Markovian jump systems under external disturbance and input constraints. A state feedback controller is proposed to guarantee that the state vector of the system tracks precisely a given state vector of a reference model. The tracking problem is formulated as an optimisation problem and an approach to design the state feedback controller which stabilises the augmented system and rejects the external disturbance simultaneously. Sufficient conditions for stochastic stability and stabilisation of the augmented systems are derived via linear matrix inequalities. Then, under the assumption of completely unknown system modes, a common MRTC approach is developed to guarantee the stochastic stability, the disturbance rejection and the input constraints. Finally, a simulation example is provided to illustrate the effectiveness of the proposed method.

Date: 2020
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DOI: 10.1080/00207721.2020.1808112

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