# Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach

@article{Massioni2009DistributedCF, title={Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach}, author={Paolo Massioni and Michel Verhaegen}, journal={IEEE Transactions on Automatic Control}, year={2009}, volume={54}, pages={124-135} }

We consider the problem of designing distributed controllers for a class of systems which can be obtained from the interconnection of a number of identical subsystems. If the state space matrices of these systems satisfy a certain structural property, then it is possible to derive a procedure for designing a distributed controller which has the same interconnection pattern as the plant. This procedure is basically a multiobjective optimization under linear matrix inequality constraints, with…

## Figures and Tables from this paper

## 311 Citations

### Decomposition-Based Distributed Control for Continuous-Time Multi-Agent Systems

- MathematicsIEEE Transactions on Automatic Control
- 2013

The main contribution of the technical note is the solution of distributed control problem for continuous-time systems under H∞/ α-stability and H2/α-st stability performances by solving a set of LMIs with noncommon Lyapunov variables.

### Distributed H2 control of multi-agent dynamic systems: Continuous-time case

- Mathematics, Computer ScienceProceedings of the 2010 American Control Conference
- 2010

The main contribution of the paper is the solution of distributed control problem for continuous-time systems under H2 performance by solving a set of LMIs that enables to design a controller that has the same interconnection structure as the agents.

### Static H∞ loop shaping control for identical dynamically coupled systems

- Mathematics2017 14th International Bhurban Conference on Applied Sciences and Technology (IBCAST)
- 2017

In this paper we consider the control problem of a special class of distributed systems i.e. decomposable systems. These systems have an incredible property of decomposing into a set of identical…

### Distributed control for alpha-heterogeneous dynamically coupled systems

- MathematicsSyst. Control. Lett.
- 2014

### A scalable controller synthesis method for the robust control of networked systems

- MathematicsArXiv
- 2020

This work will briefly discuss a recently developed method to compute the H-infinity norm of a single subsystem with an additional uncertainty, and the resulting controller is then obtained by directly minimizing this upper bound in the controller parameters.

### Robustness analysis and distributed control of a networked system with time-varying delays

- Mathematics
- 2020

This paper provides a procedure to construct a distributed controller to ensure the robust stability of the closed-loop system and to achieve a prescribed l2-gain performance.

### Distributed LQR-based Suboptimal Control for Coupled Linear Systems

- MathematicsIFAC-PapersOnLine
- 2019

### Decentralized stabilization of complex systems with delayed feedback

- Mathematics
- 2013

Abstract The paper studies the problem of decentralized state feedback control design for a class of continuous-time complex systems. These systems are composed of identical nominal subsystems,…

### A Sub-Optimal Approach to Design Distributed Controllers Realizable Over Arbitrary Networks

- Mathematics
- 2010

Abstract We consider the problem of designing distributed output-feedback controllers that achieve H 2 and H ∞ performance objectives for a group of plants dynamically interconnected via an arbitrary…

### Optimal realizable networked controllers for networked systems

- Mathematics, Computer ScienceProceedings of the 2011 American Control Conference
- 2011

The structure of network realizable systems is analyzed and the set of all stabilizing controllers that are realizable over the given network using the Youla parametrization is characterized to provide the optimal distributed controller over thegiven network.

## References

SHOWING 1-10 OF 35 REFERENCES

### Distributed LQR Design for Dynamically Decoupled Systems

- MathematicsProceedings of the 45th IEEE Conference on Decision and Control
- 2006

The design procedure proposed in this paper illustrates how stability of the large-scale system is related to the robustness of local controllers and the spectrum of a matrix representing the sparsity pattern of the distributed controller design problem.

### Large-scale systems with symmetrically interconnected subsystems: analysis and synthesis of decentralized controllers

- Mathematics29th IEEE Conference on Decision and Control
- 1990

A number of large-scale interconnected systems often encountered in practice are composed of subsystems with similar dynamics interconnected in a symmetrical fashion, and the synthesis of controllers…

### An LMI optimization approach to multiobjective controller design for discrete-time systems

- MathematicsProceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
- 1999

In this paper we investigate the design of multiobjective controllers for linear discrete-time systems. We show that, as for the H/sub 2/ norm, it is possible to extend the linear matrix inequality…

### Multiobjective output-feedback control via LMI optimization

- MathematicsIEEE Trans. Autom. Control.
- 1997

An overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers is presented and the validity of this approach is illustrated by a realistic design example.

### Discretized partial differential equations: Examples of control systems defined on modules

- Mathematics, Computer Science
- 1974

### Stabilization of decentralized control systems

- Mathematics
- 1997

The problem of stabilization of linear time-invariant systems under general decentralized feedback schemes is considered in this paper. A novel approach to the problem is advised, in which the…

### Information flow and cooperative control of vehicle formations

- Computer ScienceIEEE Transactions on Automatic Control
- 2004

A Nyquist criterion is proved that uses the eigenvalues of the graph Laplacian matrix to determine the effect of the communication topology on formation stability, and a method for decentralized information exchange between vehicles is proposed.