Synthesis of Distributed Robust H-Infinity Controllers for Interconnected Discrete Time Systems

Horssen, E.P. van; Weiland, S.

doi:10.1109/tcns.2015.2476199

Cited by 30 publications

(30 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Remark With full consideration of the interconnected structure,

P_{i} (ŵ_{i}, v_{i})

i \in \overline{L}

, is introduced. In the view of dissipativity theory, it can be seen as a part of local supply function

{\overline{𝒮}}_{i} (t) = Q_{i} (q_{i}, p_{i}) - P_{i} (ŵ_{i}, v_{i}) + μ (θ^{2} | d_{i} |^{2} - | z_{i} |^{2})

for subsystem

\sum_{i Δ}

with the corresponding local storage function

{\overline{V}}_{i} (t) ≜ x_{i}^{T} X_{T}^{i} x_{i}

5,8 …”

Section: Resultsmentioning

confidence: 99%

“…After that, Farhood et al 6 investigated discrete‐time interconnected system and designed distributed controllers for it. Jokic et al 7 and van Horssen et al 8 took uncertainties into account and considered the problem of designing robust distributed H ∞ controllers for the continuous‐time and discrete‐time interconnected uncertain system, respectively. From the angle of shortening computation time, Zhou and Zhang 9,10 derived some necessary and sufficient conditions for the stability and controllability of the discrete‐time interconnected system by explicitly taking system structures into account.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Zhang

Chen

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article aims at providing tractable conditions of robust performance (RP) analysis for interconnected uncertain system with networked communication, which is composed of heterogeneous uncertain subsystems connected over an undirected graph. Each subsystem communicates with its neighbors through local packet-based communication network asynchronously and independently. First, the interconnected uncertain system with networked communication is modeled as a hybrid system. Then sufficient conditions in terms of linear matrix inequalities (LMIs), which are related to the interconnection structure and the maximum allowable transmission interval (MATI) of each local network, are derived such that the interconnected uncertain system is robustly asymptotically stable and achieves the desired RP. These conditions only depend on the parameters of individual subsystem and local network. Finally, an example of power system is given to demonstrate the applicability and effectiveness of our results.

show abstract

“…Remark With full consideration of the interconnected structure,

P_{i} (ŵ_{i}, v_{i})

i \in \overline{L}

, is introduced. In the view of dissipativity theory, it can be seen as a part of local supply function

{\overline{𝒮}}_{i} (t) = Q_{i} (q_{i}, p_{i}) - P_{i} (ŵ_{i}, v_{i}) + μ (θ^{2} | d_{i} |^{2} - | z_{i} |^{2})

for subsystem

\sum_{i Δ}

with the corresponding local storage function

{\overline{V}}_{i} (t) ≜ x_{i}^{T} X_{T}^{i} x_{i}

5,8 …”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Zhang

Chen

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…In [5], authors proposed a state-space description for the interconnected system and analyzed the well-posedness, stability, contractiveness and distributed control of such interconnected system. On this basis, considerable works on distributed control of interconnected systems were carried out, such as  2 distributed control [6], distributed finite-time control [7], distributed control of discrete-time interconnected systems [8][9][10] etc. As a significant component of control theory, static output feedback (SOF) control problem has been extensively studied in recent years [11].…”

Section: Introductionmentioning

confidence: 99%

Distributed static output feedback control for interconnected systems in finite‐frequency domain

Chen

Wang

2021

IET Control Theory & Appl

View full text Add to dashboard Cite

This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite-frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between subsystems are assumed to be non-ideal. By introducing some dilated multipliers into the extended condition that guarantees the well-posedness, stability and finite-frequency  ∞ performance of non-ideally interconnected systems, a new equivalent condition is derived, which is more effective for parameterizing the DSOF controller. A two-stage approach is then developed for constructing a DSOF controller: design an initial distributed full information (DFI) controller first and then derive a desired DSOF from the DFI controller. Moreover, two iterative linear matrix inequality based algorithms are proposed to improve the solvability of the DFI controller and DSOF controller design problems. Finally, an example is given to show the effectiveness of the proposed two-stage DSOF controller design method. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

show abstract

“…These approaches have not succeeded in solving the problem in a decentralized way and even solve a problem that is more complex than the centralized problem. Based on (D'Andrea and Dullerud, 2003;Langbort et al, 2004) and (Dullerud and D'Andrea, 2004), an LMI-based tool for the synthesis of distributed dynamic output feedback controllers achieving a bounded H ∞ performance has been developed for a distributed system over an arbitrary graph by (Jokic et al, 2012) and adapted for discrete time by (Van Horssen and Weiland, 2013). Recent work by (Bobiti et al, 2013) shows that these approaches, even when only considering stability analysis, quickly increase the problem complexity when the distributed system grows larger, potentially rendering the problem computationally infeasible.…”

Section: Introductionmentioning

confidence: 99%

On Synthesis of Stabilizing Distributed Controllers with an Application to Power Systems

Horssen

Lazăr

Weiland

2014

IFAC Proceedings Volumes

View full text Add to dashboard Cite

Synthesis of Distributed Robust H-Infinity Controllers for Interconnected Discrete Time Systems

Cited by 30 publications

References 17 publications

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Distributed static output feedback control for interconnected systems in finite‐frequency domain

On Synthesis of Stabilizing Distributed Controllers with an Application to Power Systems

Contact Info

Product

Resources

About