# Full Length Research Paper Multivariable Ripple-Free Deadbeat Control

@inproceedings{Elaydi2012FullLR, title={Full Length Research Paper Multivariable Ripple-Free Deadbeat Control}, author={H. Elaydi and Fadi M. Albatsh}, year={2012} }

The design of multivariable ripple-free deadbeat controllers is a complex task. One approach which has shown promise for solving multivariable ripple-free deadbeat control (MRFDC) problems is the use of Diophantine equation parameters. The problem of solving robust multivariable ripple free deadbeat with time delays has not been solved. This paper proposes a hybrid two degree of freedom controller utilizing the parameterization of Diophantine equation to build a multivariable ripple-free… Expand

#### Figures and Tables from this paper

#### References

SHOWING 1-10 OF 16 REFERENCES

Two objective optimal multivariable ripple-free deadbeat control

- 2007

This paper presents novel results on optimal multivariable deadbeat control. Given a discrete-time, stable, linear and time invariant plant model, we give a simple parameterisation of all stabilising… Expand

Multivariable deadbeat tracking controllers

- Mathematics
- Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)
- 1998

This paper presents an explicit parameterization of all deadbeat tracking controllers for multi-input multi-output (MIMO) control system. The advantages over the previous results are as follows:… Expand

Ripple-free deadbeat control of SISO discrete systems

- Mathematics
- IEEE Transactions on Automatic Control
- 1985

The ripple-free deadbeat control problem for arbitrary (not necessarily stable) SISO linear discrete plants and reference signals is treated. It is established that a causal, stabilizing ripple-free… Expand

Improving Performance of Deadbeat Servomechanism by Means of Multirate Input Control ¶ §

- 2001

In this paper, an state-space approach to deadbeat servomechanism design is proposed using multirate input control. This paper focuses advantage of multirate control over conventional single-rate… Expand

Optimal ripple-free deadbeat controllers for systems with time delays

- Mathematics
- Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)
- 1998

A ripple-free deadbeat controller for a system with time delays is proposed. Our approach to this problem uses an affine matrix parametrization of the Diophantine equation. Based on this… Expand

Design of ripple-free multivariable robust servomechanisms

- Mathematics
- 1984

The design of multivariable control systems to provide zero steady-state error in the presence of non-decaying reference and disturbance signals and in spite of perturbations to system parameters is… Expand

Ripple-free tracking with robustness

- Mathematics
- 2006

Despite the previous efforts in deadbeat control, a need still exists to offer a generic design methodology for both performance and robustness. We propose a hybrid, two-degree-of-freedom (2DOF)… Expand

A minimization algorithm for the design of linear multivariable systems

- Mathematics
- 1973

A new algorithm for the design of linear multivariable systems is presented. This algorithm constructs a set of minimal-order (McMillan degree) solutions to a proper rational matrix equation. The… Expand

Performance bounds for feedback control of non-minimum phase MIMO systems with arbitrary delay structure

- Mathematics
- 2005

The paper derives 2-norm performance bounds for the feedback control of discrete-time MIMO non-minimum phase (NMP) systems with arbitrary delay structure. Also, the associated optimal controller, in… Expand

Computation of matrix fraction descriptions of linear time-invariant systems

- Mathematics
- 1981

In this paper, algorithms are presented for obtaining relatively prime matrix fraction descriptions (MFD's) of linear time-invariant systems. Orthogonal coordinate transformations are used to reduce… Expand