The aim of this paper is to design a single input PI fuzzy controller for a nonlinear and time-varying plant – the biogas production rate in the anaerobic digestion of organic waste in waste water treatment. The main contributions are the design of the SI FC, the study of the closed loop control system performance and the estimation of the advantages of the SI FC system in comparison to other s...

In this paper we address the problem of state (resp. feedback) linearization of nonlinear single-input control systems using state (resp. feedback) coordinate transformations. Although necessary and sufficient geometric conditions have been provided in the early eighties, the problems of finding the state (resp. feedback) linearizing coordinates are subject to solving systems of partial differe...

In this paper we consider continuous-time linear time-invariant single-input systems that depend on a single parameter. Given a family of desired states we aim to find open-loop control inputs which are independent of the parameter that simultaneously steer the zero initial state arbitrarily close to a family of terminal states. As an application we show that a family of networks of harmonic os...

The design of stabilizing controllers for nonlinear plants with unknown nonlinearities is a challenging problem. The inability to identify exactly the nonlinearities on-line or off-line motivates the design of stabilizing controllers based on approximations or on approximate estimates of the plant nonlinearities. The price paid in such case, could be lack of theoretical guarantees for global st...

A bilinear dynamical system can be used to represent the model of a network in which the state obeys linear dynamics and the input is the edge weight of certain controlled edges in the network. We present algebraic and graph-theoretic conditions for the structural controllability of a class of bilinear systems with a single control where the input matrix is rank one. Subsequently, we use these ...

The main result of the paper states that almost any analytic single-input control system, which is truly nonlinear, that is not feedback linearizable, with controllable linearization at an equilibrium point, does not admit any symmetry preserving that point. By almost any system, we mean that we exclude a small class of odd systems, that admit just one nontrivial symmetry conjugated to minus id...

In this paper, a new topology is proposed for three-phase to single-phase matrix converters, where more voltage levels are produced in the output in comparison with the conventional topologies. In addition, a new control method based on minimum error between the generated and the desired output voltages is proposed for three-phase to single-phase matrix converters. In the proposed control metho...

We consider the problem of desynchronizing a network of synchronized, globally (all-to-all) coupled neurons using an input to a single neuron. This is done by applying the discrete time dynamic programming method to reduced phase models for neural populations. This technique numerically minimizes a certain cost function over the whole state space, and is applied to a Kuramoto model and a reduce...

1 Centre for Aerospace Science and Technologies, Department of Electromechanical Engineering, University of Beira Interior, Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal 2 Orientation and Motion Control Department, Keldysh Institute of Applied Mathematics, Miusskaya pl. 4, Moscow 125047, Russia 3 Centre of Physics, Department of Mathematics and Applications, School of Sciences, Universit...