Active disturbance reduction on non-homogeneous T-S fuzzy semi-Markovian jump systems and its application to secure digital signal communication

The concerns of disturbance reduction and tracking controller in non-homogeneous Takagi–Sugeno fuzzy semi-Markovian jump systems (T-SFSMJSs) are explained in this extensive effort. By elucidating the effects produced due to disturbances and delay in control input, it delivers a detailed understanding of the significances of disturbances and input delay on system execution. To be more specific, the performance of accurate tracking and accurate disturbance diminution are ensured by means of a generalized modified repetitive control (GMRC) strategy and an artificial neural network (ANN)-based disturbance estimator integrated with Astrom modified Smith predictor (ASP) technique. Particularly, the numerical instances deliver a comprehensive demonstration of how the suggested control procedure works in several scenarios and exhibit its efficiency under a variety of circumstances. These results are further reinforced by comparative investigation, which narrates the performance of the proposed method with that of former methods such as improved-equivalent-input-disturbance (IEID), truncated predictive control (TPC) and disturbance observer based control (DOBC) design, which have the limits in the case of mismatched multiple disturbances. From an application viewpoint, a novel encryption and decryption technique is suggested and numerically shown for securely transmitting digital signals over unprotected channels by utilizing T-S fuzzy chaotic semi-Markovian jump systems. Further, the experimental results demonstrate the effectiveness of the proposed algorithm and quality metrics of the proposed encryption method are analyzed. The suggested encryption algorithm’s key size is twelve times larger than the conventional key size, according to the key space measure and secure against different attacks.