期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 59, 期 9, 页码 2525-2529出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2014.2308620
关键词
Euler discretization; periodic orbits; sliding mode control
资金
- NNSF of China [61074046/F030107]
- Self-Determined International Cooperation Project of CCNU from the Colleges Basic Research and Operation of MOE [CCNU13F025]
- International Cooperation Project of China [CU01-11]
- International Cooperation Project of Ukraine [CU01-11]
The dynamical behaviors of an Euler discretized sliding mode control (SMC) systems based on equivalent control strategy are studied. A periodic-2 orbit in steady state is found for the switching function of the Euler discretized SMC systems. The time steps for the switching function to converge toward the periodic-2 orbit are obtained. When the discretized SMC system is stable, it further shows that the system states of the SMC systems will also enter into some periodic-2 orbits, and these periodic-2 orbits are characterized by explicit analytic expressions. Finally, simulation examples are given to illustrate the theoretical results.
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