Overlapping robust decentralized connective stabilization for interconnected systems with loop structure via dynamic state feedback

Robust multi-overlapping decentralized control method based on dynamic output feedback is proposed for a kind of large scale interconnection systems with radial structure. Firstly, the interconnection system with radial structure is decomposed according to special multiple overlapping structure decomposition by using inclusion principle of large scale systems. The original space is expanded, and a series of pair-wise subsystems are obtained in the expanded space. Then, the robust decentralized controllers based on dynamic output feedback for each pair-wise subsystem are designed by using LMI method and Lyapunov theory. Finally, these controllers are contracted back to the original space. Overlapping decentralized control laws of the original system are obtained, and so that the original system is robust connectively stable. The proposed method is applied to AGC (Automatic Generation Control) control design of a four-area interconnected power system with radial structure. The simulation results show the feasibility and superiority of the proposed method.

In this paper, the problem of delay-dependent decentralized control for a class of nonlinear large-scale interconnected systems with similar structure is investigated, where the linear state vectors, the nonlinear state vectors and the nonlinear interconnections involve time delays. The new similar structure is presented via memory feedback. Based on which, by exploiting the structure of interconnected systems, the new integral inequalities, constrained Lyapunov equations and LMI method, a decentralized memory derivative feedback control strategy is proposed to stabilize the resulting interconnected systems uniformly asymptotically, in addition, the stability domain is estimated. Finally, simulation results show the effectiveness of the proposed approach.

This paper focuses on the adaptive control problems for a class of interconnected systems. The nonLinear uncertainties of the systems under study are bounded by polynomial functions with unknown gains. Firstly, the adaptive feedback controller is proposed to guarantee the stabiLity of the closed-loop system. Then the proposed adaptive idea is extended to robust stabiLizing designing method for a class of large-scale interconnected systems. Based on Lyapunov's theory and LMI method, we can deal with the time-delay term in the system and construct the corresponding adaptive control and state feedback controller. Finally, an illustrative example is given to show the vaLidity of the proposed approach.

This paper is concerned with the analysis of large-scale interconnected systems constructed from positive subsystems and a nonnegative interconnection matrix. We first show that the interconnected system is admissible and stable if and only if a Metzler matrix built from the coefficient matrices of the positive subsystems and the interconnection matrix is Hurwitz stable. By means of this key lemma, we further provide several results that characterize the admissibility and stability of interconnected systems in terms of the weighted L1-induced norm of each positive subsystem and the Frobenius eigenvalue of the interconnection matrix. Moreover, in the case where every subsystem is SISO, we provide explicit conditions under which the interconnected system has the property of persistence, i.e., the state of the interconnected system converges to a unique strictly positive vector (up to a strictly positive constant multiplicative factor) irrespective of nonnegative and nonzero initial states. We illustrate the effectiveness of the persistence results via formation control of multi-agent systems.

This paper concerns the problem of the model, stability and controller design for networked control system (NCS) with time-varying delay and dropped out packet. For the NCS with time-varying delay and data packet dropout, four new control methods of dynamical state feedback control, dynamical state feedback proportional-integral (PI) control, state feedback proportional-derivative (PD) control and dynamical state feedback PD control are presented. The NCS with time-varying delay and data packet dropout based on the four control methods is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Furthermore, based on the ADS theory, principle of Lyapunov stability and method of linear matrix inequality, both the semi-negative definite matrix conditions of exponential stability and the controller design for NCS are given. Finally, numerical example illustrates the feasibility of the results.

Nash-Q learning-based collaborative dispatch strategy for interconnected power systems

Modeling and sensitivity analyses of VSP based virtual inertia controller in HVDC links of interconnected power systems

Event-triggered explorized IRL-based decentralized fault-tolerant guaranteed cost control for interconnected systems against actuator failures

Decentralized optimal controller design for multimachine power systems using successive approximation approach

New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems

A novel technique for synthesizing dynamic state feedback controllers that achieve practical input to state stability (PISS) property for nonlinear discrete-time systems is presented. The PISS controller design for the original system is solved via an auxiliary l <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> -bounded (LIB) robustness synthesis problem for an auxiliary system. A complete solution for the LIB synthesis problem has been presented recently in the literature. The obtained static state feedback LIB controller for the auxiliary system can be interpreted as a dynamic state feedback PISS controller for the original system. The obtained solution is in terms of a dynamic programming equation (or inequality).

Performance evaluation of interconnected pneumatic cylinders positioning system

In this paper, we investigate the problem of the decentralized adaptive control with model reference for a class of large-scale interconnected systems. The decentralized adaptive control law can guarantee the asymptotic stability of the overall interconnected system when some conditions are verified. The efficiency of the proposed control approach is highlighted by numerical simulation dealing with the decentralized stabilization of a robot manipulator.

SummaryThis paper presents the design of a decentralized observer‐based control scheme for large‐scale interconnected systems based on the integral sliding mode control (ISMC) approach. To do this, a novel decentralized observer is designed via the ISMC approach that helps to estimate the unmeasured states. Then, by constructing a suitable Lyapunov function, sufficient conditions are derived in terms of matrix inequality, which guarantees the asymptotic stability of the interconnected system and the ultimate boundedness of estimation errors under external disturbances. An interconnected power system (IPS) integrated with a doubly fed induction generator (DFIG)‐based wind farm model is provided as a direct application. Theoretical conditions are validated through numerical simulations, in this regard, a well‐structured model of IPS with a DFIG‐based wind farm is introduced. From the simulation results, it is proven that the proposed decentralized observer‐based ISMC can provide a better estimation of the internal states in two area IPS with DFIG‐based wind farm.

Considering different character between hydroelectric power and thermal power contributed to tie-line, as well as the cost function of the whole interconnected system under electric power market environments, this paper presents a new optimization strategy based on benefit analysis to solve the power regulation on tie-line in hydro-thermal interconnected power system. The units relating to tie-line can be procured by an electrical dissection algorithm in the sending and receiving network and matched with different correlative coefficient, while the other units are also due to be coordinated with diverse regulating power capacity at the same time. The effectiveness of the proposed method is demonstrated on IEEE 57-bus system comprising of hydro and thermal units and compared with some conventional approaches. The experimental results show that the proposed new strategy approaches is able to obtain higher quality solutions efficiently than the conventional approaches.