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Asymptotical sliding mode design of direct model reference adaptive control (MRAC) for a class of systems with input and state delays based only on the lumped-delays is developed. To overcome the difficulty to directly predict the plant state, a control design is proposed based on a new approach. The approach relies on a decomposition of the adaptive control design procedure where a “generalized error”...
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...
In this paper, we develop two sliding mode—model reference adaptive control (MRAC) schemes for a class of delayed nonlinear dynamic systems under actuator failure that are robust with respect to actuator failures, to an unknown plant delay, to a nonlinear perturbation, and to an external disturbance with unknown bounds. Appropriate Lyapunov–Krasovskii‐type functionals with ‘virtual’ adaptation gains...
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