Dynamic sliding mode control design

Abstract

Dynamic sliding mode control and higher order sliding mode are studied. Dynamic sliding mode control adds additional dynamics, which can be considered as compensators. The sliding system with compensators is an augmented system. These compensators (extra dynamics) are designed for achieving and/or improving the system stability, hence obtaining desired system behaviour and performance. Higher order sliding mode control and dynamic sliding mode control yield more accuracy and also reduce and/or remove the chattering resulting from the high frequency switching of the control. It is proved that certain J-trajectories reach a sliding mode in a finite time. A sliding mode differentiator is also considered.

Intelligent complementary sliding-mode control with dead-zone parameter modification

“…A c c e p t e d M a n u s c r i p t Accepted Paper (ASOC-D-13-01314R1) 10 Choose the parameter adaptive laws as…”

“…But, the uncertainty bound estimator cannot avoid growing unboundedly. On the other hand, some researchers proposed a dynamic sliding-mode control (DSMC) system [10,11]. Due to the integration method for obtaining the practical control input, the chattering phenomenon can be improved effectively.…”

Intelligent dynamic sliding-mode neural control using recurrent perturbation fuzzy neural networks

“…4) an inverted pendulum problem and a chaotic synchronization problem are applied to show the effectiveness of the IDSNC system. The accepted paper 4 simulation results show that the IDSNC system can confront the parameter variations and external disturbances to achieve favorable control performance.…”

“…A common solution to improve the chattering is replacing the switching function with the saturation function; however, an indefinite steady-state error is caused depending on the selection of the boundary layer [3]. Another method is to use a dynamic sliding-mode control (DSMC) [4,5]. The actual control signal going into the system is obtained after integrating the discontinuous derivative control signal.…”

Position control of synchronous motor drive by modified adaptive two-phase sliding mode controller

“…This is undesirable because it involves high control activity and will excite high frequency dynamics, thus damaging the electrical systems and causing high vibration in mechanical systems. To eliminate chattering, various methods are used such as the continuation method [1,2] , the fuzzy, neural sliding mode controller [3,4] , sliding mode controller with sliding sector [5] , the reaching law method [6,7] , sliding mode with unified smooth control law [8] , dynamic SMC and higher order sliding surface [9,10] . Lin et al [11] used integral action and adaptive algorithm to estimate the bound of uncertainties to reduce the switching gain.…”