This article presents parameter estimation of continuous-time polytopic models for a linear parameter varying (LPV) system. The prediction error method of linear time invariant (LTI) models is modi ed for polytopic models. The modi ed prediction error method is applied to an LPV aircraft system whose varying parameter is the ight velocity and model parameters are the stability and control deriv...

This paper deals with the topic of qLPV state-space model based control design in which LMIs are used to optimize the multi-objective control performance. In this paper we investigate how the manipulation convex hull of the polytopic model influences the control performance which is derived by LMIs. We examine these influences through the control design of the two dimensional aeroelastic system...

In the previous work, the authors studied the problem of robust discretization of linear time-invariant systems with polytopic uncertainties, where linear matrix inequality (LMI) conditions were developed to find an approximate discrete-time (DT) model of a continuous-time (CT) system with uncertainties in polytopic domain. The system matrices of obtained DT model preserved the polytopic struct...

The Tensor Product model transformation is a numerical method that is capable of uniformly transforming LPV (linear parameter-varying) dynamic models into polytopic forms, both in a theoretical and algorithmic context. Using the TP model transformation, different optimization and convexity constraints can be considered, and transformations can be executed without any analytical interactions, wi...

The Tensor Product (TP) model transformation is a recently proposed technique for transforming given Linear Parameter Varying (LPV) models into polytopic model form, namely, to parameter varying convex combination of Linear Time Invariant (LTI) models. The main advantage of the TP model transformation is that the Linear Matrix Inequality (LMI) based control design frameworks can immediately be ...

This paper presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation in independent actuators. The control is developed using the concept of guaranteed cost control and a new LMI characterization using polytopic Lyapunov fun...

The contribution of this paper is to propose a systematic approach to the observer design for linear time-varying systems. It is based on the exact rewriting of the original time-varying system into a polytopic linear model (PLM). This transformation uses the sector nonlinearity approach based on the convex polytopic transformation. Then a joint state and parameter observer can be designed for ...

This work presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation in independent actuators. The control is developed using the concept of guaranteed cost control and a new LMI characterization using polytopic Lyapunov func...

Abstract: In this paper, robust H2 optimal filtering is addressed for continuoustime stochastic systems with polytopic parameter uncertainty. A new robust stability condition is presented. A continuous-time robust H2 optimal filter is obtained by solving a sufficient linear matrix inequality condition characterizing a solution of a minimum variance filtering problem which takes into account the...