Power converters may lose synchronization with the remaining network when integrated in a weak power grid. Such an instability phenomenon [known as grid-synchronization (GSI)] features frequency divergence of phase-locked loop (PLL) and oscillations converter's output. In this paper, we focus on influences reactive control (RPC) methods GSI. We develop single-input-single-output model to explicitly reveal how PLL interacts other parts converter system terms grid synchronization. Then, after...

As an effective tool for solving dynamic complex value problems, especially matrix inversion (DCVMI), the zeroing neural network (CVZNN) has been widely applied in various practical industrial fields. However, previous (PCVZNN) models only achieve unsatisfactory exponential or finite time convergence, which usually does not conform to actual situation. Different from PCVZNN models, a complex-valued variant parameter robust ZNN model (CVVPRZNN) with both fixed-time convergence and robustness...

Summary This paper presents an estimation and compensation of state‐dependent nonlinearity for a modified repetitive control system. It is based on the equivalent‐input‐disturbance (EID) approach. The estimated by EID estimator compensated incorporation estimate into input. A two‐dimensional model EID‐based system established that enables preferential adjustment learning actions means 2 tuning parameters. singular‐value‐decomposition technique Lyapunov stability theory are used to derive...

As the physical carrier of Energy Internet, integrated energy system (IES) is a future development trend in field, and optimal scheduling IES for improving utilisation efficiency has become hot topic. An day-ahead model multiple IESs considering demand response (IDR), cooperative game virtual storage (VES) proposed innovatively this study to maximise overall benefits alliance. IDR VES are considered together first time optimise internal each IES, where can enhance potential on side improve...

This article studies the fixed-time formation-containment control problem for a group of Euler-Lagrange (EL) systems with unknown disturbances. A layered control-oriented framework, composed leader formation layer and follower containment layer, is constructed to realize (FC) performance. Firstly, two novel distributed estimators with/without time-varying variables are developed obtain ideal position velocity each agent in layers, respectively. Then, an improved adaptive integral sliding...

This technical note deals with the problem of designing a robust observer-based repetitive-control system that provides given H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance attenuation performance for class plants time-varying structured uncertainties. A continuous-discrete two-dimensional model is built accurately describes features repetitive control, thereby enabling control and learning actions to be preferentially...

Abstract This paper presents an improved command‐filtered backstepping control strategy for a class of multisource‐disturbed nonlinear systems based on active‐uncertainty‐estimation‐and‐compensation approach. Exploiting the available model information plant, reduced‐order extended‐state observer is designed to estimate matched total uncertainty. Command filters are constructed virtual inputs. Both estimated states and estimation errors used construction law, which guarantees stability system...

Summary A generalized extended state observer (GESO) is devised to improve the disturbances rejection performance in a repetitive‐control system (RCS) for class of single‐input, single‐output nonlinear plants with nonintegral chain form and mismatched disturbances. By appropriately choosing disturbance compensation gain incorporating estimate into repetitive control law, GESO‐based RCS established. In this system, controller ensures tracking periodic reference input, incorporation input...

This study concerns the problem of aperiodic‐disturbance estimation and rejection in a modified repetitive‐control system (MRCS). First, configuration an improved MRCS with equivalent‐input‐disturbance (EID) estimator is constructed. The aperiodic disturbances are estimated by EID their effect to output channel compensated directly incorporating estimates into law. Next, small gain theory separation theorem used derive stability criterion. Then, two‐dimensional approach pole assignment...

This paper presents a linear-extended-state-observer-based repetitive control (RC) method to enhance the disturbance rejection performance and tracking for nonlinear system with aperiodic uncertainties disturbances. Both design scenarios, i.e., without detailed mathematical model of plant, are considered, respectively. The proposed exhibits following three attractive features. First, instead tuning observer gain via bandwidth idea by trial error, available information on plant is used...

This paper presents a method to actively reject aperiodic disturbances and suppress uncertainties in modified repetitive-control (RC) system, based on an equivalent-input-disturbance (EID) approach. The influences of the input channel are estimated by EID estimates then rejected incorporating estimation into repetitive control law. First, how construct EID-based system is described, which correction introduced amount delay controller enhance steady-state tracking performance. Next,...

Abstract This paper is concerned with the problem of designing a robust modified repetitive-control system dynamic output feedback controller for class strictly proper plants. Employing continuous lifting technique, continuous-discrete two-dimensional (2D) model built that accurately describes features repetitive control. The 2D control input contains direct sum effects and learning, which allows us to adjust learning preferentially. singular-value decomposition matrix Lyapunov stability...

This study deals with the problem of aperiodic‐disturbance rejection for a class plants non‐linear state‐dependent uncertainty in modified repetitive‐control system (MRCS). Since both and disturbances are often unknown, an equivalent‐input‐disturbance (EID) estimator is constructed using full‐order state observer variant matrix to estimate them. The EID estimate, which exhibits overall effect on output all types disturbances, incorporated into linear repetitive control law compensate...

This paper concerns the problem of designing a robust output-feedback-based modified repetitive-control system for class strictly proper plants with periodic uncertainties. Exploiting periodicity repetitive control, continuous-discrete two-dimensional (2D) model is built so that control and learning actions can be adjusted preferentially by means gains. The combination singular-value decomposition output matrix Lyapunov stability theory used to derive linear-matrix-inequality-(LMI-) based...

A new controller design method is proposed to synchronize the fractional‐order hyperchaotic system through stability theory of fractional calculus; synchronization between two identical Chen systems realized by designing only suitable controllers in response system. Furthermore, this control scheme can be used secure communication via technology chaotic masking using complex nonperiodic information as trial message, and useful recovered at receiver. Numerical simulations coincide with...

This paper concerns a linear-matrix-inequality (LMI)-based method of designing robust modified repetitive-control system (MRCS) for class strictly proper plants with periodic uncertainties. It exploits the nature control and learning periodicity continuity repetitive to convert design problem into stabilization continuous-discrete 2D system. The LMI technique Lyapunov stability theory are used derive an LMI-based asymptotic condition that can be directly in gains controller. Two tuning...

This paper concerns the problem of designing a modified repetitive-control system based on generalized extended state observer (GESO) for class multi-input, multi-output systems in form nonintegral chain and with mismatched disturbances. A GESO is constructed to estimate lumped disturbance real-time fashion. Then, an improved repetitive control law developed attenuate influence from output channel. correction amount delay controller introduced further reduce steady-state tracking error....