Moving horizon estimation for hybrid systems

Ferrari-Trecate, Giancarlo; Mignone, D.; Morari, Manfred

doi:10.1109/acc.2000.879488

Cited by 48 publications

(61 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown that the framework of piecewise linear systems can be used to analyse smooth non-linear systems with arbitrary accuracy (Johansson and Rantzer 1998;Rantzer and Johansson 2000). Recently, there have appeared some results on state estimation and filtering design for piecewise linear systems in the open literature (Ferrari-Trecate, Mignone, and Morari 2002;Juloski, Heemels, Boers, and Verschure 2002;Xu and Xie 2004;Feng 2005Feng , 2006. Ferrari-Trecate et al (2002) studied the movinghorizon estimation (MHE) for hybrid systems in piecewise affine form.…”

Section: Introductionmentioning

confidence: 98%

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems

Qiu

Feng

Yang

2008

International Journal of Control

View full text Add to dashboard Cite

This paper revisits the problem of robust H 1 filtering design for a class of discrete-time piecewise linear state-delayed systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional combined with Finsler's Lemma, a new delay-dependent sufficient condition for robust H 1 performance analysis is first derived and then the filter synthesis is developed. It is shown that by using a new linearisation technique, a unified framework can be developed so that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.

show abstract

Section: Introductionmentioning

confidence: 98%

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems

Qiu

Feng

Yang

2008

International Journal of Control

View full text Add to dashboard Cite

show abstract

“…We highlight that the observers considered in the present paper use all the inputs and outputs collected over a time window rather than processing only the most recent measurements. In this respect, they are different from the ones proposed in Alessandri and Coletta (2001) and Feng (2003) and similar to estimation schemes such as moving horizon estimation (Ferrari-Trecate et al 2002). The paper is structured as follows.…”

Section: Introductionmentioning

confidence: 96%

Observability analysis and state observers for automotive powertrains with backlash: a hybrid system approach

Ferrari-Trecate

Gati

2006

International Journal of Control

View full text Add to dashboard Cite

In this paper, the observability properties of automotive powertrains with backlash are analysed. We model the powertrain as a hybrid system in the piecewise affine form and use measurements of the torque and the angular speed of the engine for computing the maximal set of observable states. This set, that is usually non-convex and disconnected, captures in a precise way how the main variables and parameters of the driveline influence the possibility of estimating the shaft twist. Then, we show how to exploit the knowledge of observable states in order to build computationally efficient deadbeat observers for the reconstruction of the powertrain states.

show abstract

“…The authors in [11] studied the moving-horizon estimation (MHE) for hybrid systems in the piecewise affine form. A number of sufficient conditions to guarantee asymptotic convergence of the MHE were presented, and the main issues concerned with the practical implementation of MHE were also discussed.…”

Section: Introductionmentioning

confidence: 99%

Nonsynchronized state estimation of uncertain discrete-time piecewise affine systems

Qiu

Feng

Gao

2010

J. Control Theory Appl.

View full text Add to dashboard Cite

This paper investigates the problem of robust H-infinity state estimation for a class of uncertain discretetime piecewise affine systems where state space instead of measurable output space partitions are assumed so that the filter implementation may not be synchronized with plant state trajectory transitions. Based on a piecewise quadratic Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques, two different approaches are developed to the robust filtering design for the underlying piecewise affine systems. It is shown that the filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is provided to illustrate the effectiveness of the proposed approaches.

show abstract

Moving horizon estimation for hybrid systems

Cited by 48 publications

References 13 publications

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems

Observability analysis and state observers for automotive powertrains with backlash: a hybrid system approach

Nonsynchronized state estimation of uncertain discrete-time piecewise affine systems

Contact Info

Product

Resources

About

Moving horizon estimation for hybrid systems

Cited by 48 publications

References 13 publications

New results on robust H ∞ filtering design for discrete-time piecewise linear delay systems

New results on robust H ∞ filtering design for discrete-time piecewise linear delay systems

Observability analysis and state observers for automotive powertrains with backlash: a hybrid system approach

Nonsynchronized state estimation of uncertain discrete-time piecewise affine systems

Contact Info

Product

Resources

About

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems

New results on robust H _∞ filtering design for discrete-time piecewise linear delay systems