In this paper a systematic procedure for the choice sampling period in sampled-data control is suggested. The procedure is based on an optimization scheme, where both low frequency performance, mid frequency stability margins and high frequency control activity are taken into account. The proposed evaluation method is applied to a pole placement controller for an integral plant with time-delay ...

Controlling satellite trajectories is an important problem. In [12], an approach to the pole placement for the synthesis of a linear controller has been presented. It leads to solving five polynomial equations in nine unknown elements of the state space matrices of a compensator. This is an underconstrained system and therefore four of the unknown elements need to be considered as free paramete...

A new approach is proposed for the pole placement of non-linear systems using the state feedback and fuzzy system. We use a new online fuzzy training method in order to identify and obtain a fuzzy model for an unknown non-linear system using only the system input and output. Then we linearize this identified model at each sampling time to have an approximate linear time-varying system. In order...

The aim of this paper is to illustrate the application of numerical homotopy algorithms to control the trajectory of a satellite. We design output feedback laws via pole placement. The output feedback laws are computed by numerical homotopy algorithms, which are based on enumerative geometry. We combine the use of MATLAB with PHCpack. 2000 Mathematics Subject Classification. Primary 93B55. Seco...

A seminal result in decentralized control is the development of fixed modes by Wang and Davison in 1973 that plant modes which cannot be moved with a static decentralized controller cannot be moved by a dynamic one either, and that the other modes which can be moved can be shifted to any chosen location with arbitrary precision. These results were developed for perfectly decentralized, or block...

Nonlinear plants can often be modelled as linear parameter varying (LPV) plants for which a number of techniques exist for control synthesis. However, there are some systems for which such a technique presents difficulties. In this paper, we consider one such system for which we propose a pole placement method using state feedback in order to cancel parameters variation of LPV plants. Hence, an...

In this paper we study the feedback control problem using an r-channel decentralized dynamic feedback control scheme. We will develop the theory in the behavioral framework. Using this framework we introduce an algebraic parameterization of the space of all possible feedback compensators having a bounded McMillan degree, and we show that this parameterization bas the structure of an algebraic v...

We consider linear systems with inner state of dimension n, with m inputs and p outputs, such that n = mp, min{m,p} = 2 and max{m, p} is even. We show that for each (m,n, p) satisfying these conditions, there is a non-empty open subset U of such systems, where the real pole placement map is not surjective. It follows that for systems in U , there exist open sets of pole configurations which can...

The problem of robust D admissibility analysis and admissibilization is studied for uncertain descriptor linear systems. Two classes of uncertainties are considered in this paper, i.e., the norm bounded uncertainty and the polytopic uncertainty. With the introduction of some free matrices, a new necessary and sufficient condition for the considered descriptor linear system to be D admissible is...

In this paper we derive a new rank condition which guarantees the arbitrary pole assignability of a given system by dynamic compensators of degree at most q. By using this rank condition we establish several new suuciency conditions which ensure the arbitrary pole assignability of a generic system. Our proofs also comes with a concrete numerical procedure to construct a particular compensator w...