Serban Sabau

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— In this paper we deal with the problem of stabilizing linear, time–invariant plants using feedback control configurations that are subject to sparsity constraints. Recent results show that given a strongly stabilizable plant, the class of all stabilizing controllers that satisfy certain given sparsity constraints admits a convex representation via Zames's(More)
Consider that a linear time-invariant (LTI) plant is given and that we wish to design a stabilizing controller for it. Admissible controllers are LTI and must comply with a pre-selected sparsity pattern. The sparsity pattern is assumed to be quadratically invariant (QI) with respect to the plant, which, from prior results, guarantees that there is a convex(More)
— In this paper we study state–space realizations of Linear and Time–Invariant (LTI) systems. Motivated by biochemical reaction networks, Gonçalves and Warnick have recently introduced the notion of a Dynamical Structure Functions (DSF), a particular factorization of the system's transfer function matrix that elucidates the interconnection structure in(More)
We introduce a novel distributed control architecture for heterogeneous platoons of linear time–invariant autonomous vehicles. Our approach is based on a generalization of the concept of leader–follower controllers for which we provide a Youla–like parameterization, while the sparsity constraints are imposed on the controller's left coprime factors,(More)
— We introduce a novel distributed control architecture for a class of nonlinear dynamical agents moving in the string formation, while guaranteeing trajectory tracking and collision avoidance. An interesting attribute of the proposed scheme is the fact that its performance is scalable with respect to the number of vehicles in the string. The scalability is(More)
— This paper considers the H∞ control problem for a general discrete–time system, possibly improper or polynomial. The parametrization of suboptimal H∞ output feedback controllers is presented in a realization–based setting, and it is given in terms of two descriptor Riccati equations. Moreover, the solution features the same elegant simplicity of the(More)