Design of LPV control systems based on Youla parameterisation

Xie, Wei; Eisaka, Toshio

doi:10.1049/ip-cta:20040513

Cited by 46 publications

(29 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…From this figure, it can be seen that M (θ) must be designed to ensure stability of the closed-loop system formed by M (θ) − I and the nonlinear operator and to minimize the effect of the y d on the controlled variable. Moreover, applying the LPV coprime factorization introduced in [31] to the LPV system G(θ), the design of the AW compensator reduces to the design of a parameter-varying state-feedback gain fulfilling an induced L 2 norm condition. More precisely, let…”

Section: B Anti-windup Compensationmentioning

confidence: 99%

A Gain-Scheduled LPV Control for Oxygen Stoichiometry Regulation in PEM Fuel Cell Systems

Bianchi

Kunusch

Ocampo‐Martínez

et al. 2014

IEEE Trans. Contr. Syst. Technol.

View full text Add to dashboard Cite

Abstract-The article addresses the LPV control of a PolymerElectrolyte Membrane Fuel Cell (PEMFC). In order to optimize efficiency, PEMFCs require reliable control systems ensuring stability and performance, as well as robustness to model uncertainties and external perturbations. On the other hand, PEMFCs present a highly nonlinear behavior that demands nonlinear and/or adaptive control strategies to achieve high performance in the entire operating range. Here, a linear parameter varying (LPV) gain scheduled control is proposed. The control is based on a piecewise affine LPV representation of the PEMFC, a model that can be available in practice. In order to deal with the saturation of the control action, an LPV anti-windup compensation is also proposed. The complete control strategy is applied to several experimental practical situations in a laboratory fuel cell system to evaluate its performance and the reliability of the proposed algorithms.Index Terms-Linear parameter varying systems; gain scheduled control; anti-windup; PEM fuel cells; oxygen stoichiometry.

show abstract

Section: B Anti-windup Compensationmentioning

confidence: 99%

A Gain-Scheduled LPV Control for Oxygen Stoichiometry Regulation in PEM Fuel Cell Systems

Bianchi

Kunusch

Ocampo‐Martínez

et al. 2014

IEEE Trans. Contr. Syst. Technol.

View full text Add to dashboard Cite

show abstract

“…Remark 2 So far, the results presented have been fairly straightforward extensions of coprime factorisations from LTI to LPV systems; however, we would like to emphasise that these extensions are, in fact, not trivial at all due to the parameter dependency. Indeed, the cumbersome notation (3)- (18) has been deliberately chosen to avoid any confusion with normal transfer functions, since we allow θ-dependency in the B and C matrices (as opposed to, e.g., [14], which only allows A to be θ-dependent). For the same reason, we avoid parameter-dependent state transformations throughout the paper.…”

Section: Lpv System Factorisationmentioning

confidence: 99%

LPV identification of a heat distribution system

Trangbaek

Bendtsen

2010

2010 IEEE International Conference on Control Applications

View full text Add to dashboard Cite

This paper deals with incremental system identification of district heating systems to improve control performance. As long as various parameters, e.g. valve settings, are kept fixed, the dynamics of district heating systems can be approximated well by linear models; however, the dynamics change significantly when these parameters change. For this reason, we attempt to identify the system using linear parameter varying models. We demonstrate how the so-called "Hansen Scheme," for linear time-invariant systems, can be employed for incremental identification of linear parameter varying systems as well. The approach is tested on a laboratory setup emulating a district heating system, where local controllers regulate pumps connected to a common supply. Experiments show that crosscouplings in the system can indeed be identified in closed-loop operation.

show abstract

“…The following mass spring damper system with time varying spring stiffness has been considered in [23]:…”

Section: Numerical Examplementioning

confidence: 99%

An iterative LMI scheme for output regulation of continuous-time LPV systems with inexactly measured parameters

Jetto

Orsini

Romagnoli

2012

2012 20th Mediterranean Conference on Control &Amp; Automation (MED)

View full text Add to dashboard Cite

The most part of papers dealing with linear parameter varying systems (LPV) control assumes a perfect parameter knowledge. In this note the scheduling physical parameters are supposed to be inexactly measured. Continuous time polytopic LPV systems are considered and an observer based controller is proposed to guarantee internal stability and performance in terms of exact asymptotic output regulation at a desired set point, despite the presence external disturbances. An iterative LMI procedure is given for computing the maximum parametric uncertainty level that can be tolerated to maintain the exponential stability of the closed loop system. The controller is scheduled by the noisy parameter readings and a quadratic affinely parameter-dependent Lyapunov function is used. This results in a general approach encompassing constant controller gains and/or parameter independent Lyapunov functions.

show abstract

Design of LPV control systems based on Youla parameterisation

Cited by 46 publications

References 11 publications

A Gain-Scheduled LPV Control for Oxygen Stoichiometry Regulation in PEM Fuel Cell Systems

A Gain-Scheduled LPV Control for Oxygen Stoichiometry Regulation in PEM Fuel Cell Systems

LPV identification of a heat distribution system

An iterative LMI scheme for output regulation of continuous-time LPV systems with inexactly measured parameters

Contact Info

Product

Resources

About