# On regularizing singular systems by decentralized output feedback

@article{Wang1999OnRS, title={On regularizing singular systems by decentralized output feedback}, author={Dianhui Wang and Cheong Boon Soh}, journal={IEEE Trans. Autom. Control.}, year={1999}, volume={44}, pages={148-152} }

This paper considers linear time-invariant decentralized singular systems which are either nonregular or, if they are regular, they have impulsive modes. It derives algebraic necessary and sufficient conditions for making a singular system both regular and impulse-free by decentralized output feedback control laws and decentralized proportional-plus-derivative output feedback control laws.

## 46 Citations

### Robust impulse control of uncertain singular systems by decentralized output feedback

- MathematicsIEEE Trans. Autom. Control.
- 2000

A perturbation upper bound is derived that ensures the existence of decentralized output-feedback control law such that the closed-loop system remains both regularity and impulse free for any allowable perturbations.

### Regularizability of linear time-invariant descriptor systems under decentralized control

- MathematicsAutom.
- 2005

### On impulsive algebraic multiplicities of linear time-invariant singular systems under feedback

- MathematicsAutom.
- 2005

### Regularization and robust control of uncertain singular discrete-time linear systems

- MathematicsIMA J. Math. Control. Inf.
- 2007

A new class of feedback is proposed to stabilize singular uncertain discrete-time systems with unknown time delays and the regularization and the stabilizability condition of this class of systems is given in terms of one strict LMI.

### Robust regularization of uncertain singular systems

- MathematicsProceedings of the 1999 American Control Conference (Cat. No. 99CH36251)
- 1999

This paper considers a problem of robust regularization of uncertain singular systems by decentralized output feedback. It derives a perturbation upper bound that ensures the existence of single…

### Decentralised H ∞ control for singular systems

- MathematicsInt. J. Syst. Sci.
- 2009

The two cases of controllers via measurement feedback are designed: one is precise controller, and the other is additive controller gain variation, which guarantee that closed-loop singular systems are admissible and with H ∞-norm bound on disturbance attenuation.

### Robustness analysis and feedback stabilization of uncertain singular systems

- Mathematics2004 5th Asian Control Conference (IEEE Cat. No.04EX904)
- 2004

This paper studies complete stability robustness and feedback stabilization problem for uncertain singular systems. New perturbation upper bound that ensures the perturbed singular system remains…

### LMI Approach to Regularization and Stabilization of Linear Singular Systems: The Discrete-time Case

- Mathematics
- 2009

A new class of regularizing stabilizing controllers are proposed that are the sum of predictive and memoryless state feedbacks and aims to regularizing the singular system while the memorylessState feedback is designed to stabilize the resulting regularized system.

### On impulsive modes of linear singular systems subject to decentralized output feedback

- MathematicsIEEE Trans. Autom. Control.
- 2003

The impulsive decentralized cycle index is shown to characterize generic properties on controllability and observability of the closed-loop system through an individual channel (or an external channel).

### Optimal controllability of descriptor systems

- Computer Science, Mathematics2012 24th Chinese Control and Decision Conference (CCDC)
- 2012

To the regularity, non-impulse of descriptor systems, proportional and derivative output feedback (PDOF) and left and right orthocomplement are applied to investigate the weakest impulse-free…

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