Robust mixed order backstepping control of non-linear systems
MetadataShow full item record
Robust backstepping control of non-linear systems with derivation orders (commensurate or non-commensurate) lying at interval (0, 2) is proposed in this study. The stability and robustness properties are proved using a linearisation procedure in contrast to the classic recursive Lyapunov approach to backstepping. Vector, adaptive and robustness extensions are then developed to solve general tracking and stabilisation control problems. The adaptive extension is proved with a non-Lyapunov approach based on inequalities on non-negative fractional integrals. The mixed-order nature enables to control integer order systems using fractional operators. Through simulations, it is shown that the performance of the controllers depends on their derivation orders. In particular, for transient behaviour and the root mean square value of the control signal, the fractional controllers proposed exhibit improved responses as compared with the integer ones.
Artículo de publicación ISI
Quote ItemIET Control Theory and Applications, 12(19), JUN 12 2018, 1276-1285 pp.
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Hierarchical energy management system based on fuzzy prediction intervals for operation and coordination of microgrids Marín Collazos, Luis Gabriel (Universidad de Chile, 2018)The integration of large numbers of Distributed Energy Resources (DERs) into the distribution system could take place either by reinforcement of the existing network assets, or the incorporation of active management of ...
Dynamic control strategy in partially-shaded photovoltaic power plants for improving the frequency of the electricity system Rahmann, Claudia; Mayol, Carolina; Haas, Jannik (Elsevier Ltd, 2018)When large-scale photovoltaic power plants (PV-PPs) operate under partially-shaded conditions, their power output can be extremely fluctuating. This situation may compromise the energy balance of the electricity grid, which ...
Arraño-Vargas, Felipe; Rahmann, Claudia; Valencia, Felipe; Ramírez Vargas, Luis (MDPI AG, 2017)© 2018 by the authors. This paper proposes an active splitting scheme especially suitable for longitudinal power systems (LPS). The proposed scheme is based on a modified out-of-step (OOS) algorithm combined with an angle ...