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Symmetries of control systems

Alexey Samokhin (1996)

Banach Center Publications

Symmetries of the control systems of the form u t = f ( t , u , v ) , u n , v m are studied. Some general results concerning point symmetries are obtained. Examples are provided.

System identification from multiple-trial data corrupted by non-repeating periodic disturbances

Minh Phan, Richard Longman, Soo Lee, Jae-Won Lee (2003)

International Journal of Applied Mathematics and Computer Science

Iterative learning and repetitive control aim to eliminate the effect of unwanted disturbances over repeated trials or cycles. The disturbance-free system model, if known, can be used in a model-based iterative learning or repetitive control system to eliminate the unwanted disturbances. In the case of periodic disturbances, although the unknown disturbance frequencies may be the same from trial to trial, the disturbance amplitudes, phases, and biases do not necessarily repeat. Furthermore, the...

Systematic fault tolerant control based on adaptive Thau observer estimation for quadrotor UAVs

Zhaohui Cen, Hassan Noura, Younes Al Younes (2015)

International Journal of Applied Mathematics and Computer Science

A systematic fault tolerant control (FTC) scheme based on fault estimation for a quadrotor actuator, which integrates normal control, active and passive FTC and fault parking is proposed in this paper. Firstly, an adaptive Thau observer (ATO) is presented to estimate the quadrotor rotor fault magnitudes, and then faults with different magnitudes and time-varying natures are rated into corresponding fault severity levels based on the pre-defined fault-tolerant boundaries. Secondly, a systematic FTC...

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