In this paper the trajectory tracking control problem for a certain class of propagation processes modeled as quasi-linear parameter varying systems is considered. The propagation physical models are generally described by means of partial differential equations (PDEs). However in real world control problems the PDE models are usually converted into ordinary differential equations (ODEs) models adopting numerical and/or physical approximations. In many practical problems it happens that the propagation dynamics are linear, while the boundary conditions are described by nonlinear algebraic equations. A trajectory following control scheme is proposed for this class of systems together with a robust performance analysis based on the concept of quadratic stability with an H∞ norm bound. An LMI based observer synthesis procedure is also proposed to increase the closed loop system performance. © 2004 Elsevier Ltd. All rights reserved.
An LPV approach to the robust control of a class of quasi-linear propagation processes / Mattei, M.. - In: JOURNAL OF PROCESS CONTROL. - ISSN 0959-1524. - 14:6(2004), pp. 651-660. [10.1016/j.jprocont.2004.01.001]
An LPV approach to the robust control of a class of quasi-linear propagation processes
Mattei M.
2004
Abstract
In this paper the trajectory tracking control problem for a certain class of propagation processes modeled as quasi-linear parameter varying systems is considered. The propagation physical models are generally described by means of partial differential equations (PDEs). However in real world control problems the PDE models are usually converted into ordinary differential equations (ODEs) models adopting numerical and/or physical approximations. In many practical problems it happens that the propagation dynamics are linear, while the boundary conditions are described by nonlinear algebraic equations. A trajectory following control scheme is proposed for this class of systems together with a robust performance analysis based on the concept of quadratic stability with an H∞ norm bound. An LMI based observer synthesis procedure is also proposed to increase the closed loop system performance. © 2004 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.