<i>H</i>
            <sub>∞</sub>
            optimal singular and normal filter design for uncertain singular systems

Lee, C.-M.; Fong, I‐Kong

doi:10.1049/iet-cta:20060042

Cited by 31 publications

(21 citation statements)

References 14 publications

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“…In [13], the robust stability of descriptor system with an uncertain parameter in matrix E. However, this approach is limited to the case where the rank of matrix E does not change according to the parameter. In [14][15][16], robust control problems of descriptor systems with uncertainties in E were considered. They all required the rank of E with perturbations to be constant.…”

Section: Consider the Descriptor Systemmentioning

confidence: 99%

Robustness analysis of descriptor systems with parameter uncertainties

Yang

Zhang

et al. 2010

Int. J. Control Autom. Syst.

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This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function, we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results.

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Section: Consider the Descriptor Systemmentioning

confidence: 99%

Robustness analysis of descriptor systems with parameter uncertainties

Yang

Zhang

et al. 2010

Int. J. Control Autom. Syst.

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“…Consequently, over past decades, many different practical systems and research areas (1)(2)(3)(4)(5) have been adopted the singular system description. Many fundamentals and advanced results for a normal state-space system have been successfully extended to a singular system, such as controllability and observability (6) , (robust) stability analysis and (robust) stabilization (7)(8)(9) , H∞ control and filtering (10)(11)(12) and so forth. In addition, in order to get less conservative results, singular system based methods have been adopted to study state-space systems (13,14) .…”

Section: Introductionmentioning

confidence: 99%

An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties

Lee

Huang

Kung

2017

The Proceedings of the 5th International Conference on Industrial Application Engineering 2017

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In this paper, an observer-based controller design problem for a discrete-time Markovian jumping singular system (DMJSS) with polytopic uncertainties is considered, which is based on a set of necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) for an admissibility analysis problem. A proposed mode dependent observer and a controller can be designed separately via two sets of derived LMI-based synthesis conditions. There are two principal contributions in this paper. One is that a set of strictly LMI-based necessary and sufficient conditions for the admissibility analysis problem for a DMJSS is extended to the case with uncertainties. Another one is that a suitable observer and a controller can be designed independently via two sets of strictly LMI-based synthesis conditions instead of a set of complex algorithm in terms of bilinear or nonconvex inequalities.

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“…Therefore, attention has thus focused on the study of singular systems and H 1 filtering problems for all kinds of dynamical systems over the past years. Robust H 1 optimal filtering for singular systems with norm-bounded uncertainties was considered in Lee and Fong (2007). The authors proposed one singular and two normal filter design methods under the LMI framework.…”

Section: Introductionmentioning

confidence: 99%

H_∞filtering for nonlinear singular Markovian jumping systems with interval time-varying delays

Xia

Mahmoud

et al. 2012

International Journal of Systems Science

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The problem of H 1 filtering for nonlinear singular Markovian jumping systems with interval time-varying delays is investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Furthermore, the derivative of the time-varying delay function can be larger than one. With partial knowledge of the jump rates of the Markov process, a new delay-range-dependent bounded real lemma for the solvability of the jump system is obtained based on the Lyapunov-Krasovskii functional, which is in terms of strict linear matrix inequalities (LMIs). When these LMIs are feasible, an expression of a desired H 1 filter is given. Numerical examples are given to illustrate the effectiveness of the developed techniques.

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H _∞ optimal singular and normal filter design for uncertain singular systems

Cited by 31 publications

References 14 publications

Robustness analysis of descriptor systems with parameter uncertainties

Robustness analysis of descriptor systems with parameter uncertainties

An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties

H_∞filtering for nonlinear singular Markovian jumping systems with interval time-varying delays

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H ∞ optimal singular and normal filter design for uncertain singular systems

Cited by 31 publications

References 14 publications

Robustness analysis of descriptor systems with parameter uncertainties

Robustness analysis of descriptor systems with parameter uncertainties

An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties

H∞filtering for nonlinear singular Markovian jumping systems with interval time-varying delays

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Resources

About

H _∞ optimal singular and normal filter design for uncertain singular systems

H_∞filtering for nonlinear singular Markovian jumping systems with interval time-varying delays