Finite-time stabilisation of some power transmission systems

Abstract

This paper presents the finite time stabilisation strategy of two problems: the first one is the control of the high voltage direct current based on voltage source converter, while the second is the control of the multi-terminal direct current transmission systems. Subject to finite-time control design strategy, a linear and nonlinear dynamic model are derived based on the state-space description. Furthermore, continuous or discontinuous finite-time feedbacks are proposed to ensure the tracking of the output variables and to enhance the stability of the studied high voltage direct current system. In addition, the proposed control strategy is extended for the multi-terminal direct current system. A comparative study between various approaches (Proportional-Integral control, continuous or discontinuous stabilising finite-time controllers and control by backstepping) is presented and shows that the finite-time continuous feedback gives an excellent transient response.

A New Design to Finite-Time Stabilization of Nonlinear Systems With Applications to General Neural Networks

“…I N the past decades, the problems of stability analysis and stabilization problem of the nonlinear systems have been paid attention extensively in many disciplines, such as [1], [2] investigated finite-time control problem of switch systems and power systems, respectively. Stability analysis and stabilization design play vital roles in control theory and system identification.…”

“…Lots of efforts have been done to the finite-time stability problem of nonlinear systems by employing the technique. For example, [2], [9], [13], [27] studied the finite-time stability problem of nonlinear systems in virtue of homogeneity. However, one evident flaw of the technique is that corresponding settling time cannot be estimated explicitly in form of mathematics expression.…”

Decentralized finite-horizon suboptimal control for nonlinear interconnected dynamic systems using SDRE approach

“…A hierarchical decentralized architecture is an important approach that can be used to analyse and control these systems. The problem of decentralized control has been the subject of much research over the last three decades (Ayari et al, 2018; Elloumi and Benhadj Braiek, 2002, 2012; Elloumi et al, 2013; Guang-Hong and Si-Ying, 1996; Li and Tong, 2016; Rtibi et al, 2018; Shiau and Chow, 1996; Xiaoping and Gongsheng, 2001). Since these complex dynamic systems can be characterized by an interconnection between many subsystems, possible control strategies are generally based on a decentralized approach.…”

DC‐type grid‐connection system of PV generation and its control schemes

“…In DC‐type grid‐connection systems, MMCs are more favorable to reduce harmonics and more adaptable to various voltage levels, because of its structural characteristics . MMC usually adopts double‐loop control in which the inner loop is the current control, and the outer loop controller cooperates with other converter stations …”

“…18 MMC usually adopts double-loop control in which the inner loop is the current control, and the outer loop controller cooperates with other converter stations. 19,20 Therefore, a CDSM-MMC with fault isolation capability is adopted at the grid-connection station in this paper. The IPOS-connected BFBICs are used in the PV station to boost the voltage and reduce switching losses.…”