Sliding Mode Control With Limits on the Control Signal and Linear State Combinations

Abstract

In this paper the sliding mode controller is designed using the reaching law approach. The system model considers the time-varying uncertainties and the unknown, external disturbances. The main idea is to guarantee that the state limitations (in form of linear combinations) hold for the whole regulation process. Moreover, the control signal restriction is taken into account and the chattering on the boundary of the admissible set is fully eliminated. Furthermore, the controller ensures fast, monotonic and finite-time convergence of the representative point to the switching hyperplane.INDEX TERMS Continuous-time system, control signal restriction, state variables limitation, sliding mode control, reaching law technique.

Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism

“…Some SMC results of uncertain nonlinear systems, especially on advanced and optimization based algorithms were given in [12]. For continuous systems, there are many research results using SMC methods, see [13], [14] and [15]. Due to the emerging digital technologies, many practical systems are treated in the structure of discretized forms and then discrete-time SMC (DSMC) has become an increasingly hot topic, see, for instance [16] and [17].…”