Markovian switching model and non‐linear DC modulation control of AC/DC power system

Finite-Time H∞ Control for Time-Delay Markovian Jump Systems with Partially Unknown Transition Rate via General Controllers

“…In recent decades, many researchers have performed studies on these types of systems, such as [ 27 , 28 , 29 , 30 , 31 , 32 ]. Moreover, some research results have been utilized in many engineering fields, such as power systems [ 33 ], manufacturing systems [ 34 ], communication systems [ 35 ], etc. Although there have been lots of research achievements about Markov jump systems, most assume that the transition probabilities are all known; however, it is difficult to ascertain precise transition probabilities in real life due to instrument and measurement limitations.…”

Transient stability emergency control for AC/DC grids considering successive commutation failures

“…The traditional DAE model fails to describe the hybrid system behavior with switching and resetting. A Markovian switching model is established to represent the AC/DC system dynamic characteristics in [7], however, which is hard to describe the sensitivity behavior at events. Based on the differential‐algebraic‐discrete (DAD) models, the theory of trajectory sensitivity analysis is established for hybrid systems in [22], which built a solid theoretical foundation for time‐domain simulation and the sensitivity analysis of the AC/DC hybrid system.…”

“…As the practical SPS in industry, transient stability emergency control (TSEC) is employed instantly to remove instability that may arise, by using control measures such as generator tripping and load shedding [5,6]. In recent years, numerous scholars have conducted in-depth researches on TSEC and preventive control of AC/DC hybrid systems, whose works mainly focus on the generator rotor angle stability [7,8], but the successive CFs is rarely considered. In [9], a transient stability boundary calculation method of AC/DC system based on dynamic energy analysis is proposed, which yet ignores CFs.…”

“…In [10], an online transient stability assessment method of AC/DC hybrid system considering CFs is proposed, which is lack of further research on TSEC. In [7], a wide-area-signals-based feedback controller is designed to improve the stability but ignores the effect of CFs on transient stability. Generally, the controller-modification-based methods are usually employed to mitigate CFs [11].…”

State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems

“…As a special class of hybrid dynamic systems, Markovian switching systems are modeled by a set of linear or nonlinear governing equations with the switching between systems in the set determined by Markov chains [1]. Since Markovian switching systems can be used to describe abrupt variations caused by the random failures of components and sudden environmental changes, important and useful results have been reported in many practical applications, such as robot manipulators [2], power systems [3], economic systems [4], sensor networks [5], neural networks [6], multiagent systems [7], and networked control systems [8][9][10]. To date, a variety of results have been published to address the development of controllers for stabilization of Markovian switching systems, see [11][12][13][14][15][16][17][18][19][20][21] and references therein.…”