Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 58, Issue 3, Pages 785-791Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2211456
Keywords
Average dwell time; dissipativity; mean-square exponential stability; sliding mode control; stochastic systems; switched systems
Funding
- National Natural Science Foundation of China [61174126, 61222301]
- Program for New Century Excellent Talents in University [NCET-09-0063]
- Fundamental Research Funds for the Central Universities [HIT. BRET2.2010011]
- Australian Research Council
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This technical brief is concerned with dissipativity analysis and dissipativity-based sliding mode control (SMC) of continuous-time switched stochastic systems. Firstly, a sufficient condition is proposed to guarantee the mean-square exponential stability and strict dissipativity for the switched stochastic system. Then, an integral-type sliding surface function is designed for establishing a sliding mode dynamics, which can be formulated by a switched stochastic system with an external disturbance/uncertainty. Dissipativity analysis and synthesis are both investigated for the sliding mode dynamics, and consequently sufficient conditions are derived, which pave the way for solving the dissipativity analysis and control problems. Moreover, a SMC law is synthesized to drive the system trajectories onto the predefined sliding surface in a finite time. Finally, the efficiency of the theoretical findings is demonstrated by an illustrative example.
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