期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 8, 页码 4215-4221出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2683065
关键词
Mode-dependent dwell time; observer design; switched linear systems; unknown inputs
资金
- National Natural Science Foundation of China [61673198, 61304055, 61473063, 61590924]
- Fundamental Research Funds for the Central Universities [N150802001]
- Provincial Natural Science Foundation of Liaoning Province [2015020088]
This paper investigates the state observer design of a class of unknown input switched linear systems via mode-dependent dwell time switchings. The distinguishing feature of the proposed method is that strong detectability condition of subsystems of the switched systems is unnecessarily required. First, a time-varying coordinate transformation is introduced to design a suitable reduced-order observer for each subsystem. Then, computable sufficient conditions on the synthesis of the observers are proposed in the framework of a mode-dependent dwell time technique. Since the observer of an individual subsystem cannot be designed due to unavailability of strong detectability condition of the subsystem, the state of the switched system is estimated under the condition of confining the dwell time by a pair of upper and lower bounds, restricting the growth of the Lyapunov function of the active subsystem and forcing energy of the overall switched system to decrease at switching instants. Finally, an example is presented to demonstrate the effectiveness of the proposed method.
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