Abstract | ||
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In this paper, the steady-state behaviour of discretized terminal sliding mode control is studied. A discrete terminal sliding mode control is designed by discretizing the continuous-time system and then the steady-state behaviour is analysed in terms of periodic orbits. We have shown that by this discrete terminal sliding mode control the discretized second order system exhibits only period- 2 motion in steady-state. To ensure this, existence and stability conditions of all possible periodic orbits are found out analytically and shown that only period- 2 conditions are satisfied by the state evolution of the discretized system in steady-state. Next, a higher order single-input-single-output system is considered and we also establish that only period- 2 motion exists in steady-state. |
Year | DOI | Venue |
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2015 | 10.1016/j.automatica.2015.02.009 | Automatica |
Keywords | Field | DocType |
Terminal sliding mode,Discretization,Steady-state behaviour,Periodic orbits | Discretization,State evolution,Second-order logic,Control theory,Stability conditions,Steady state,Terminal sliding mode,Periodic orbits,Mathematics | Journal |
Volume | Issue | ISSN |
54 | C | 0005-1098 |
Citations | PageRank | References |
3 | 0.42 | 10 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Abhisek K. Behera | 1 | 69 | 5.53 |
Bijnan Bandyopadhyay | 2 | 328 | 48.14 |