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- Pavel Zítek, Vladimír Kucera, Tomás Vyhlídal
- Kybernetika
- 2008

The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback… (More)

- Ming Hou, Pavel Zítek, Ron J. Patton
- IEEE Trans. Automat. Contr.
- 2002

A novel method for the determination of controller parameters in a broad class of linear control systems affected by time-delays is presented. This method is based on an appropriate shaping of the spectrum of the closed-loop system. Its application follows two steps. First, a number of rightmost poles, smaller than the number of controller parameters, are… (More)

- Tomás Vyhlídal, Pavel Zítek
- IEEE Trans. Automat. Contr.
- 2009

- Wim Michiels, Tomás Vyhlídal, Pavel Zítek, Henk Nijmeijer, Didier Henrion
- SIAM J. Control and Optimization
- 2009

The stability theory for linear neutral equations subjected to delay perturbations is addressed. It is assumed that the delays cannot necessarily vary independently of each other, but depend on a possibly smaller number of independent parameters. As a main result necessary and sufficient conditions for strong stability are derived along with bounds on the… (More)

- Pavel Zítek, Jaromír Fiser, Tomás Vyhlídal
- TDS
- 2012

Besides its original use in the state space based design the pole assignment is also applied in tuning the PID controllers where only an approximate model is considered. However, the common assumption of time delay in this model imposes the limitation that only such pole prescription which results in the dominant pole assignment can be effective in tuning… (More)

- Tomás Vyhlídal, Pavel Zítek
- IEEE Trans. Automat. Contr.
- 2009

The properties of delta model approximations of time delay systems obtained by means of first and second order numerical methods are investigated. A particular attention is paid to the relationship between the spectra of continuous and corresponding delta model. Based on the convergence between the delta model and the Laplace transform of the continuous… (More)

- Jaromír Fiser, Pavel Zítek, Vladimír Kucera
- 2014 6th International Symposium on…
- 2014

A specific issue of the PID control loop with time delay is the contradiction of its infinite-order dynamics with the only three controller parameters used to adjusting its behaviour. For selecting the optimum PID parameters the IAE criterion has been used as performance measure of the disturbance rejection in the investigated control loop. In order to… (More)

The cascade control architecture is a standard solution in control engineering practice for industrial plants with considerable time delays. In this paper, the set of all stabilizing cascade controllers in parametric form is presented for such plants. The parameterization is based on the use of the so-called RQ meromorphic functions expressing the time… (More)