Bounded state reconstruction error for LPV systems with estimated parameters

Stability Analysis of Discrete LPV Systems Subject to Rate-Bounded Parameters

Abstract: This paper considers the stability analysis of the feedback connection of a discrete LTI system and time-varying parameters whose variation intervals and bounds of variation rates are assumed known. To tackle the problem, the robust D-admissibility of uncertain descriptor systems is first analyzed. Based on this result, we derive a necessary and sufficient LMI condition for the existe...

Control of LPV systems with partly measured parameters

In this paper, the control of linear parameter-varying (LPV) systems with time-varying real uncertain parameters, where only some of the parameters are measured and available for feedback is considered. The control objectives are internal stability and disturbance attenuation in the sense of a bounded induced L2-norm from the disturbance to the controlled output. Using parametric Lyapunov funct...

Distributed bounded-error state estimation

This paper presents a distributed bounded-error state estimation algorithm suited, e.g., to measurement processing by a network of sensors. Contrary to centralized estimation, where all data are collected to a central processing unit, here, each data is processed locally by the sensor, the results are broadcasted to the network and taken into account by the other sensors. A first analysis of th...

Nonlinear bounded-error state estimation of continuous-time systems

Stability analysis of LPV systems with piecewise differentiable parameters

Linear Parameter-Varying (LPV) systems with piecewise differentiable parameters is a class of LPV systems for which no proper analysis conditions have been obtained so far. To fill this gap, we propose an approach based on the theory of hybrid systems. The underlying idea is to reformulate the considered LPV system as an equivalent hybrid system that will incorporate, through a suitable state a...