Stability Analysis Of Adaptive Control Research Articles

Stability analysis of adaptive control using fuzzy adapting rate neural emulator: Experimental validation on a thermal process

In this study, an adaptive control based on fuzzy adapting rate for neural emulator of nonlinear systems having unknown dynamics is proposed. The indirect adaptive control scheme is composed by the neural emulator and the neural controller which are connected by an autonomous algorithm inspired from the real-time recurrent learning. In order to ensure stability and faster convergence, a neural controller adapting rate is established in the sense of the continuous Lyapunov stability method. Numerical simulations are included to illustrate the effectiveness of the proposed method. The performance of the proposed control strategy is also demonstrated through an experimental simulation.

Robust stability analysis of adaptive control based on recurrent ANN

Adaptive control by means of neural networks for non-linear dynamical systems is an open issue. For real world applications, practitioners have to pay attention to external disturbances, parameters uncertainty and measurement noise, as long as these factors will influence the stability of the closed loop system. As a consequence, robust stability of the closed loop controlled by neural network is an important issue that must be considered. Our contribution concerns the robustness analysis and synthesis of adaptive indirect control scheme. This scheme is based on fully connected neural networks, and inspired from the standard real time recurrent learning. This analysis is concerned by combining Lyapunov approach and linearisation around the nominal parameters to establish analytical sufficient conditions for the global robust stability of adaptive neural network controller. Advantages of the proposed algorithm are suggested according to simulation examples.

Using burst recovery concept to obtain global stability and performance of discrete-time adaptive controller for time-varying systems

In this note, a new technique is proposed for the global stability analysis of adaptive control of time-varying systems. The proposed method is based on the evaluation of possible burstings in the adaptive loop. Its simplicity and effectiveness is demonstrated by analyzing global stability and performance of the discrete-time direct adaptive controller. The developed technique reflects physical phenomena inside the adaptive loop, i.e., possible occurrence of instabilities and burstings. Precise upper bounds on the admissible speed of the parameter variations and on all the signals are established in terms of clearly defined physical quantities. >