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Prior to be implemented in aircraft flight control system, Higher Order Sliding Mode (HOSM) controllers must be certified for robustness to unmodeled dynamics. There exist certain standards imposed on Phase Margin (PM) and Gain Margin (GM) for linear controller to be certified for controlling aircrafts. In this work, the conventional control system certification approach based on PM and GM is extended...
This paper considers the problem of developing a 2-SM super-twisting-like structure with adaptive gains. The objective is to allow the gains to adapt (to both increase and decrease as appropriate) in such a way that they are as small as possible, and yet large enough to sustain a sliding motion. The concept of ‘equivalent control’ is used as a mechanism for assessing the extent to which the gains...
The Lyapunov stability of a double integrator controlled by a discontinuous-impulsive feedback with adaptation is developed. Following previous results of the authors the gain of the impulsive control is adapted to minimize the time convergence to zero of the double integrator dynamics when the impulsive control is applied. The impulsive-sliding mode adaptive controller applied to the second order...
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