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.
- time-varying systems
- switching functions
- equivalent control strategy
- Euler discretized sliding mode control systems
Qu, S., Xia, X., & Zhang, J. (2014). Dynamical behaviours of an Euler discretized sliding mode control systems. IEEE Transactions on Automatic Control, 59(9), 2525-2529. https://doi.org/10.1109/TAC.2014.2308620