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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...

Systems with associative dynamics

Ronald Korin Pearson, Ülle Kotta, Sven Nōmm (2002)

Kybernetika

This paper introduces a class of nonlinear discrete-time dynamic models that generalize familiar linear model structures; our motivation is to explore the extent to which known results for the linear case do or do not extend to this nonlinear class. The results presented here are based on a complete characterization of the solution of the associative functional equation F [ F ( x , y ) , z ] = F [ x , F ( y , z ) ] due to J. Aczel, leading to a class of invertible binary operators that includes addition, multiplication, and infinitely many...

Systems with hysteresis in the feedback loop : existence, regularity and asymptotic behaviour of solutions

Hartmut Logemann, Eugene P. Ryan (2003)

ESAIM: Control, Optimisation and Calculus of Variations

An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis operators...

Systems with hysteresis in the feedback loop: existence, regularity and asymptotic behaviour of solutions

Hartmut Logemann, Eugene P. Ryan (2010)

ESAIM: Control, Optimisation and Calculus of Variations

An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis operators...

Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems

Pablo Iglesias, Guoqiang Zang (2001)

International Journal of Applied Mathematics and Computer Science

It is shown that the limit in an abstract version of Szegő's limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.

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