Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 63, Issue 12, Pages 4345-4352Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2018.2819683
Keywords
Composite control; linear matrix inequalities; robust control; stochastic systems
Funding
- National Natural Science Foundation of China [61333007, 61621004]
- Chinese National Post-doctor Science Foundation [2015M571322]
- CCSI of the Pacific Northwest National Laboratory
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In this note, the robust stochastic stabilization and robust H-infinity control problems are investigated for uncertain stochastic time-delay systems with nonlinearity and multiple disturbances. By estimating the disturbance, which can be described by an exogenous model, a composite hierarchical control scheme is proposed that integrates the output of the disturbance observer with the state feedback control law. Sufficient conditions for the existence of the disturbance observer and composite hierarchical controller are established in terms of linear matrix inequalities, which ensure the mean -square asymptotic stability of the resulting closed-loop system and the disturbance attenuation. It has been shown that the disturbance rejection performance can also be achieved. A numerical example is provided to show the potential of the proposed techniques and encouraging results have been obtained.
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