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- Renato Alves Borges, Vinicius Foletto Montagner, Ricardo C. L. F. Oliveira, Pedro Luis Dias Peres, Pierre-Alexandre Bliman
- Signal Processing
- 2008

In this paper, the problem of filter design for linear continuous-time systems with arbitrarily fast time-varying parameters is investigated. The time-varying parameters belong to a polytope with known vertices, affect all the system matrices and are assumed to be available online for implementation of the filters. Necessary and sufficient… (More)

The problem of gain-scheduled state feedback control for discrete-time linear systems with time-varying parameters is considered in this paper. The time-varying parameters are assumed to belong to the unit simplex and to have bounded rates of variation, which depend on the values of the parameters and can vary from slow to arbitrarily fast. An augmented… (More)

This study investigates the problem of controller design for systems with uncertain sampling rates. The system is controlled through a communication network. The sampling period, within a given interval, is assumed to be time-varying and a simplified framework for the network-induced delay is considered. The overall system is thus described by an uncertain… (More)

This paper deals with the control of processes having recycle streams. These processes can be modeled as state delayed systems. In this work the problem of robust design of an observed-based controller for these systems is presented. The system is assumed to have norm-bounded uncertainties which are independent in every matrix involved in its state space… (More)

Abstract—In this paper, the problem of reduced order H∞ filter design for time-invariant discrete-time linear systems is investigated. The filtering problem is rewritten as a static output feedback control problem and the elimination lemma is applied to derive the design conditions for both precisely known and uncertain linear systems. An algorithm is… (More)

In this paper, the problem of linear parameter varying (LPV) filter design for timevarying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by means of a parameter-dependent Lyapunov function and extra variables for the filter design, expressed as bilinear matrix inequalities. An LPV filter,… (More)

- Renato Alves Borges, Ricardo C. L. F. Oliveira, Chaouki T. Abdallah, Pedro Luis Dias Peres
- Signal Processing
- 2010

In this paper, the problem of linear parameter varying (LPV) filter design for timevarying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by means of a parameter-dependent Lyapunov function and extra variables for the filter design, expressed as bilinear matrix inequalities. An LPV filter,… (More)

- José Claudio Geromel, Renato Alves Borges
- IEEE Trans. on Circuits and Systems
- 2006

In this paper, the problem of robust filter design for time-varying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by using a parameter-dependent Lyapunov function and the Finsler’s Lemma. A robust filter, that minimizes an upper bound to the H∞ performance of the estimation error, is… (More)

In this paper, the problem of robust filter design for networked systems with time-varying sampling rate is investigated. The design conditions are obtained by using the Lyapunov theory and the Finsler’s Lemma. A robust filter, that minimizes an upper bound to the H∞ performance of the estimation error, is obtained as the solution of an optimization… (More)