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Benchmark problems continue to represent an actively studied domain, focusing on application-based situations, where controllers have to deal with typical real environments. In this paper, a Robust Fixed Point Transformations (RFPT)-based Model Reference Adaptive Controller (MRAC) is designed for a modified Translational Oscillations by a Rotational Actuator (TORA) system, which is an indirectly driven,...
In this paper, based on least trimmed squares-support vector regression (LTS-SVR), a robust radial basis function network (RRBFN) is proposed in the modeling problem to deal with training data sets that may contain outliers and noises. There are two stages in the proposed RRBFN approach. In stage I, outliers and large noises will be trimmed via the LTS-SVR procedure so that the influences of outliers...
Nowadays Lyapunov's second method is the most prevalent in control tasks. Although, the method is ingenious, sometimes using other solutions can be more comfortable because of its lower complexity. One of these methods is the family of Robust Fixed Point Transformations (RFPT) which proved to be very useful in many cases. In this paper a modified, RFPT-based Model Reference Adaptive Controller (MRAC)...
Nowadays Lyapunov's second method is the most prevailing solution in adaptive control problems. Despite of the idea being splendid, recently other solutions have come up which seem to be more beneficial in some cases. One of these methods is the family of Robust Fixed Point Transformations (RFPT) which proved to be effective in several areas, for example in Classical Mechanical Systems, Electromechanical...
Nowadays in solving adaptive control problems Lyapunov's second method is generally involved. Although, the method is ingenious and very popular, recently alternative solutions have appeared which in many cases prove to be more advantageous and also effective. One of these methods is the family of Robust Fixed Point Transformations (RFPT) which can be used in several areas successfully. In this paper...
As is well known various neuron models show interesting behavior as producing stable, non-sinusoidal limit cycles or even chaotic regimes of motion. Realization of precise tracking of a chaotic trajectory generated by a “master system” by a controlled, quite different “slave” system also having aptitude for chaotic motion is an interesting challenge. Lyapunov's 2nd or “Direct” Method is generally...
Due to the technical difficulties related to the practical application of Lyapunov's 2nd or “direct” method in the adaptive control of nonlinear systems as an alternative approach the use of “Robust Fixed Point Transformations (RFPT)” were suggested on the basis of recent researches. Various application possibilities were revealed for the new controller and design for imprecisely and partially modeled...
The “Model Reference Adaptive Control (MRAC)” is a popular and efficient controller that normally is designed by the use of Lyapunov's 2nd (“direct”) method guaranteeing global asymptotic stability. However, the use of Lyapunov function can entail a relatively complicated tuning that may have disadvantages whenever very fast applications are needed. In this paper an alternative background, the application...
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