By the use of flatness the problem of pole placement, which consists in imposing closed loop system dynamics can be related to tracking. Polynomial controllers for finite-dimensional linear systems can then be designed with very natural choices for high level parameters design. This design leads to a Bezout equation which is independent of the closed loop… (More)
A constructive procedure to design a single linear functional observer for a time-invariant linear system is given. The proposed procedure is simple and is not based on the solution of a Sylvester equation or on the use of canonical state space forms. Both stable observers or fixed poles observers problems are considered for minimality.
The paper deals with the minimum case where the order of the observer and the number of observed variables are equal. The results are deduced from the analysis of the necessary and sufficient existence conditions for an asymptotic observer. A constructive procedure for the design of a minimum linear functional observer for a linear time-varying linear… (More)
—In electrical engineering education exists a major difficulty for first level students, namely the Laplace transform. The question is: does this ubiquitous tool is needed in an electrical engineering course? Our answer is: Obviously, not. Based on an operational standpoint the paper describes some guidelines and results for a primer on handling signals and… (More)
—The paper deals with existence conditions of a functional observer for linear time-varying systems in the case where the order of the observer is equal to the number of observed variables. Constructive procedures for the design of such a linear functional observer are deduced from the existence conditions. As a specific feature, the proposed procedures do… (More)
—The paper proposes an algorithm for the design of a single functional observer for a linear time-varying system. The proposed constructive procedure can be iterated to obtain a minmal order for the observer where the existence conditions are fufilled. As a specific feature, the proposed procedure does not require the solution of a differential Sylvester… (More)