Exponential Stability for Hybrid Systems with Saturations

Fiacchini, Mirko; Tarbouriech, Sophie; Prieur, Christophe

doi:10.1002/9781118639856.ch7

Cited by 2 publications

(2 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A robust reset control law for systems with Lipschitz nonlinearity is designed in [33]. In [34], quadratic and exponential stability for the systems with saturation and nested saturations are investigated. In [35], an optimal adaptive reset control is used to enhance the transient performance and error bounds.…”

Section: Introductionmentioning

confidence: 99%

Optimal reset unknown input observer design for fault and state estimation in a class of nonlinear uncertain systems

Hosseini

Fiacchini

Karimaghaee

et al. 2020

Journal of the Franklin Institute

Self Cite

View full text Add to dashboard Cite

This paper proposes a novel kind of Unknown Input Observer (UIO) called Reset Unknown Input Observer (R-UIO) for state and fault estimation of a class of nonlinear uncertain systems using linear matrix inequality (LMI) techniques. In the devised R-UIO, the states of the observer are reset to the after-reset value based on an optimal H ∞ reset law in order to decrease the L 2 norm and settling time of estimation error. It is shown that the utilization of such an observer can significantly improve the transient response of the observer. Moreover, the devised approach can be applied to both SISO and MIMO systems. Furthermore, the robust stability analysis of the devised R-UIO is addressed. Finally, the capabilities of the proposed method are demonstrated by applying it to a Continuous Stirred-Tank Reactor (CSTR) as a practical model.

show abstract

Section: Introductionmentioning

confidence: 99%

Optimal reset unknown input observer design for fault and state estimation in a class of nonlinear uncertain systems

Hosseini

Fiacchini

Karimaghaee

et al. 2020

Journal of the Franklin Institute

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is worth mentioning that all of the aforementioned systems can be viewed as nonlinear systems with the Lipschitz nonlinear term. In [36] and [37], systems with saturations and nested saturations is considered and quadratic and exponential stability is investigated in them respectively.…”

Section: Al Initiated a New Session In Reset Control Theorymentioning

confidence: 99%

LMI‐based reset unknown input observer for state estimation of linear uncertain systems

Hosseini

Khayatian

Karimaghaee

et al. 2019

IET Control Theory & Applications

Self Cite

View full text Add to dashboard Cite

This paper proposes a novel kind of Unknown Input Observer (UIO) called Reset Unknown Input Observer (R-UIO) for state estimation of linear systems in the presence of disturbance using Linear Matrix Inequality (LMI) techniques. In R-UIO, the states of the observer are reset to the after-reset value based on an appropriate reset law in order to decrease the L 2 norm and settling time of estimation error. It is shown that the application of the reset theory to the UIOs in the LTI framework can significantly improve the transient response of the observer. Moreover, the devised approach can be applied to both SISO and MIMO systems. Furthermore, the stability and convergence analysis of the devised R-UIO is addressed. Finally, the efficiency of the proposed method is demonstrated by simulation results.

show abstract

Exponential Stability for Hybrid Systems with Saturations

Cited by 2 publications

References 44 publications

Optimal reset unknown input observer design for fault and state estimation in a class of nonlinear uncertain systems

Optimal reset unknown input observer design for fault and state estimation in a class of nonlinear uncertain systems

LMI‐based reset unknown input observer for state estimation of linear uncertain systems

Contact Info

Product

Resources

About