Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications

Abstract

Model-based control techniques have been gaining more and more interest these days. These complex control systems are mostly based on theories, such as feedback linearization, model predictive control, adaptive and robust control. In this paper the latter approach is investigated, in particular, sliding mode (SM) control is analyzed. While several works on the description and application of SM control on single-input single-output systems can easily be found, its application on multi-input multi-output systems is not examined in depth at the same level. Hence, this work aims at formalizing some theoretical complements about the necessary conditions for the feasibility of the SM control for multi-input-multi-output systems. Furthermore, in order to obtain the desired performance from the control system, a method for parameter tuning is proposed in the particular case in which the relative degree of the controlled channels is equal to one. Finally, a simple control problem example is shown with the aim of stressing the benefits derived from the application of the theoretical complements described here.

An MPC-Sliding Mode Cascaded Control Architecture for PV Grid-Feeding Inverters

“…The Sliding Mode technique is also widely employed thanks to its robustness both for conventional energy sources, like in [20,21], exploiting the theory of [22][23][24], and for MG voltage regulation in [25,26]. The Sliding Mode technique has also been applied to a single phase inverter in [27], where experimental results show the proper control of the inverter output voltage, but the typology of the DC power source is not specified.…”