Constraining State Variables in Continuous Time Sliding Mode Control
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In this paper the continuous-time system of arbitrary order was taken into consideration. The sliding mode controller was computed using the reaching law approach. The time-varying convergence rate of the sliding variable was designed in such a manner to fulfill the control signal and state variables constraints for the whole regulation time. The sufficient condition guaranteeing the fastest, finite-time, monotonic convergence of the representative point to the predefined switching hyperplane in the presence of given limitations was stated and formally proved.
KeywordsSliding mode control Continuous-time systems State constraint Control signal constraint Reaching law
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