Adaptive suboptimal second-order sliding mode control for microgrids. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Incremona, Gian Paolo; Cucuzzella, Michele; Ferrara, Antonella
• Is Part Of: International journal of control. Volume 89:Issue 9(2016)
• Page Start: 1849
• Page End: 1867
• Publication Date: 2016-09-01
• Subjects: Adaptive control -- sliding mode control -- robust control -- uncertain systems -- power systems; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1138241
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper deals with the design of adaptive suboptimal second-order sliding mode (ASSOSM) control laws for grid-connected microgrids. Due to the presence of the inverter, of unpredicted load changes, of switching among different renewable energy sources, and of electrical parameters variations, the microgrid model is usually affected by uncertain terms which are bounded, but with unknown upper bounds. To theoretically frame the control problem, the class of second-order systems in Brunovsky canonical form, characterised by the presence of matched uncertain terms with unknown bounds, is first considered. Four adaptive strategies are designed, analysed and compared to select the most effective ones to be applied to the microgrid case study. In the first two strategies, the control amplitude is continuously adjusted, so as to arrive at dominating the effect of the uncertainty on the controlled system. When a suitable control amplitude is attained, the origin of the state space of the auxiliary system becomes attractive. In the other two strategies, a suitable blend between two components, one mainly working during the reaching phase, the other being the predominant one in a vicinity of the sliding manifold, is generated, so as to reduce the control amplitude in steady state. The microgrid system in a grid-connected operation mode, controlled via the selected ASSOSM control strategies, exhibits appreciable stability properties, as proved theoretically and shown in simulation.