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The paper exposes some of the potential of a recently introduced backstepping transformation for linear uncertain time-delay systems to address the classic problems of equilibrium regulation under partial measurements, disturbance rejection, parameter or delay adaptation. For each of these problems, an implementable control strategy is proposed. It is… (More)

In this paper, we consider periodic linear systems driven by T 0-periodic signals that we desire to reconstruct. The systems under consideration are of the form ˙ x = A(t)x + A 0 (t)w(t), y = C(t)x, x ∈ R n , w ∈ R m , y ∈ R p , (m p n) where A(t), A 0 (t), and C(t) are T 0-periodic matrices. The period T 0 is known. The T 0-periodic input signal w(t) is… (More)

— At the light of a simple tutorial example, this paper discusses the merits of a recently introduced technique to control a class of systems with a delay depending on the past values of the control variables. The relations of the proposed technique with previous works from the literature on predictor-based controllers are discussed. The treated example is… (More)

— In this paper, we study the equilibrium regulation of potentially unstable linear systems with an unknown input time-delay and unknown parameters in the plant. We extend recent results from the literature where such systems are treated using a backstepping approach applied to a distributed parameters system representation of the delay. We develop a local… (More)

At the light of a simple tutorial example, this paper discusses the merits of a recently introduced technique to control a class of systems with a delay depending on the past values of the control variables. The convergence proof of the proposed control strategy is obtained by a boundedness analysis of a class of delay differential equation, inspired by the… (More)

This paper studies the low-pressure burned gas recirculation in spark-ignited engines and shows, at the light of supportive experimental results, that a linear delay system permits to capture the dominant effects of the system dynamics. The modeled transport delay is defined by implicit equations stemming from first principles. This model is shown to be… (More)

— This paper addresses the trajectory tracking problem of intake burned gas rate for Spark Ignited engines. We propose a simple linear time-varying input delay model of this dynamics, where the delay is represented by an implicit integral equation involving the past values of the input. We extend some recent results from the literature to design a novel… (More)

We propose an estimator of the individual cylinder air fuel ratios in a turbocharged Diesel Engine using as only sensor the single air fuel ratio sensor placed downstream the turbine. The observer consists of a nonlinear filter designed on a physics-based time-varying model for the engine dynamics. Convergence is proven, using a Lyapounov function.… (More)

In this paper we propose a general method to estimate periodic unknown input signals of finite-dimensional linear time-varying systems. We present an infinite-dimensional observer that reconstructs the coefficients of the Fourier decomposition of such systems. Although the overall system is infinite dimensional, convergence of the observer can be proven… (More)