Abstract
Problem statement: This study developed a new application for the output model reference adaptive control of linear continuous systems based on the concepts of hyper-stability. Approach: The main idea is to design a non-linear controller which will ensure the minimal error between the reference model and the plant outputs. Results: Therefore, the synthesis of adaptive control with a model of reference was done either using the theory of Lyapunov or from the concept of hyper-stability. The proposed approach was developed and applied to a lateral motion of aircraft, in order to determine the lateral and directional control angles required for trim under steady turns and sideslips. Also, this application is based on the directional and lateral static stability derivatives of the aircraft. Conclusion/Recommendations: Simulation results showed the effectiveness of the proposed application method.
Highlights
The Model Reference Adaptive Control (MRAC) was originally proposed to solve a problem in which the performance specifications are given in terms of a reference model (Hafizah et al, 2008)
This study focuses on the last method to the synthesis of adaptive control systems
An application to lateral motion of aircraft was presented to show that phenomena such as a limited steady shift error could occur
Summary
The Model Reference Adaptive Control (MRAC) was originally proposed to solve a problem in which the performance specifications are given in terms of a reference model (Hafizah et al, 2008). MRAC, you could choose a reference model that responds quickly to a step input and make the aircraft move just like the model (Gonzalez Blazquez, 1990; Omran and Newman, 2009). Two system is asymptotically hyper-stable if and only if the laws of control which synthesize the signal adaptation, transfer function of system is strictly positive real the proportional law control (P) ensures a limited error (Jumarie, 1979). The hyper-stability theory is first, between the reference model and the plant, have been applied to applications in control systems and adapted considered. To eliminate some of these undesirable into the adaptive digital signal processing applications by phenomena, we suggested the use of proportional
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