Permanent magnet synchronous motor (PMSM), employing vector control, is used in high performance servo drive applications. It is highly non-linear plant which can be described by linear parameter varying (LPV) state-space model. In order to solve nonlinearity problem and syntesize speed controler, tensor product (TP) model transformation is proposed. Using this transformation, given linear para...

In this paper, a polytopic approach is used to derive a new hybrid model of systems submitted to dry friction. The principal characteristics of the proposed approach are that it is easily comprehensible, has few parameters, allows the adjustment of the model complexity to the treated case, models the stick-slip phenomena, and has low simulation time. The proposed new dry friction model is appli...

Control systems achieve the desired performance with model-based controller if dynamical model of actual plant is given sufficient accuracy. However, there exists a difference between and its dynamics, does not work well intended performance. A error compensator (MEC) proposed for overcoming in our previous study. Attaching to plant, output trajectory made close that model. Then, from controlle...

This paper presents a robust H ? polytopic Linear Parameter Varying (LPV) controller to regulate the blood glucose level in type-1 diabetes patients. The suggested approach utilizes an observer-based and inexact gain-scheduling scheme construct s...

Friction is a very old and universal issue in all mechanical systems. Since friction is non-linear, it is an ever challenging problem. Several empirical nonlinear friction models have been proposed in the technical literature. This paper does not propose any new model but it presents a new, tensor product (TP) based representation of the existing friction models which is suitable for control de...

This paper develops a hybrid/gain scheduled controller for moving the state of a diesel engine through a driving profile represented as a sequence of operating points in the seven-dimensional state space of a mean value breathing nonlinear engine state model. The calculations for the control design are based on a third-order (reduced) model of the diesel engine, on whose state space the operati...

The inner envelope membrane (IEM) of the chloroplast plays crucial roles in forming an osmotic barrier and controlling metabolite exchange between the organelle and the cytosol. The IEM therefore harbours a number of membrane proteins and requires the import and integration of these nuclear-encoded proteins for its biogenesis. Recent studies have demonstrated that the transmembrane segment of s...

Simple adaptive controllers are derived by applying a new method for achieving robust strictly positive real plants via state-feedback. A constant statefeedback gain is derived that guarantees the strictly positive realness of the closed-loop in presence of polytopic type parameter uncertainties in the model that describes the plant. This is achieved by assigning different Lyapunov functions to...

We show in this paper that the set of functions, consisting of polytopic or TS models constructed from finite number of components, is nowhere dense in the approximation model space, if that is defined as a subset of continuous functions. This topological notion means that the given set of functions lies “almost discretely” in the space of approximated functions. As a consequence, by means of t...

The paper addresses the problem of designing robust output feedback model predictive control to one-step ahead prediction horizon which ensures a parameter dependent quadratic stability and guaranteed cost for the case of linear polytopic systems.