ANFIS-based integral terminal sliding mode control for disturbed chaotic system

Abstract

An adaptive network based fuzzy inference system (ANFIS)-based integral terminal sliding (ITS) mode (ANFISITS) control is developed in this paper to deal with the disturbed chaotic systems. This ANFISITS control system is composed of an ANFIS controller and an ITS controller. The ANFIS controller is designed to approach an ideal controller and the ITS controller is designed to compensate for the approximation error between the ANFIS controller and the ideal controller; meanwhile, the ANFISITS control can cope with the disturbances. In simulations, the chaotic system control is illustrated to verify this proposed ANFISITS control system. The simulation results of the proposed control method possess better performance and robustness compared with that of fuzzy sliding parallel distributed compensation (FS-PDC) control.

Terminal Sliding Mode Controller Tuned Using Evolutionary Algorithms for Finite-Time Robust Tracking Control in a Class of Nonholonomic Systems

“…By using the intelligent algorithm, the tracking errors Table 1 The results of using intelligent algorithms with or without disturbance for WMR. Parameters are a vector with the form of [22,16,148,219,261,219,261,5,131] converge to zero very quickly in less than a second. In addition, the control effort has been reduced by using the intelligent control scheme.…”

“…Therefore, the conditions in (22) guarantee that For the second subsystem described by (21), defining differentiation of 1 n s − along its variables, we have:…”

“…In the proposed controllers in (7) and (17), instead of sign function, 1 k and 2 k have to be selected as (22) in Theorem 2 in order to guarantee the robustness. Similar to switching control inputs like sign functions, it has been proven in Theorem 2 that the proposed method can compensate the effects of disturbances and the state errors will reach the neighborhood of zero in finite time.…”

“…Similar to switching control inputs like sign functions, it has been proven in Theorem 2 that the proposed method can compensate the effects of disturbances and the state errors will reach the neighborhood of zero in finite time. In fact, by replacing 1 k and 2 k in (22), into (7) and (17), it can be seen that these controllers act similar to sign function and can suppress the disturbances. In this method, the existence of…”

“…Sliding mode control (SMC) method, especially, terminal sliding mode control (TSMC) is a discontinuous control technique that has attracted the attention of many researchers in recent years due to its superior features like robustness, easy implementation, finite-time convergence and high precision performance [18,19,35,41]. Recently, new types of TSMC with different sliding surfaces and also some improvements by using adaptive or intelligent methods have been proposed in the literature [13,22,23]. Such mechanisms are useful for improving the finite-time convergence of the control systems.…”