Jump modes analysis and observer design for discrete singular systems

Zou, Yun; Wang, Weiqun; Xu, Shengyuan; Xie, Lihua

doi:10.1016/j.automatica.2006.07.007

Cited by 4 publications

(4 citation statements)

References 21 publications

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“…Wang found the importance of the input-generatable impulsive modes for the normal Luenberger observers of linear differentialalgebraic systems [22]. Zou gave the effect of jump modes on the existence of reduced order normal Luenberger observers for discrete differential-algebraic systems [23]. Wang presented a systemic design approach via the linear matrix inequalities formulation for the discrete linear differential-algebraic systems [24].…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Soft Sensor Based on Nonlinear Differential-Algebraic Observer for Chemical Processes

Wang

Luo

2015

IEEE Sensors J.

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This study investigated an adaptive soft sensor based on nonlinear differential-algebraic observer for chemical process. The primary variables of many chemical processes can not be measured in real time and they can only be corrected online by secondary variables, so the state observer was used to build soft sensor. In this paper, an adaptive state observer for nonlinear differential-algebraic system was proposed, whose output feedback gain matrix could be obtained online by pole assignment of the linearized subsystem. If the linear subsystem from local linearization on each current operating point is observable, the output feedback gain matrix can guarantee the convergence of the state observer. The fluid catalytic cracking unit was used as an example. An adaptive soft sensor based on nonlinear differential-algebraic observer was established to estimate the unmeasurable variables online; and the estimated values of the unmeasurable variables converged to the real values and the soft sensor had good dynamic performance.

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Section: Introductionmentioning

confidence: 99%

An Adaptive Soft Sensor Based on Nonlinear Differential-Algebraic Observer for Chemical Processes

Wang

Luo

2015

IEEE Sensors J.

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“…Therefore, singular system arises naturally as models for many dynamical processes, such as electrical systems [1], chemical processes [2], economic systems [3], power systems [4], etc. Due to their theoretical and practical importance, numerous studies have been devoted to singular systems for several decades, and a great number of fundamental notions and results in control and system theory based on regular systems have been extended successfully to singular systems [5][6][7][8][9]. Basically, these works concerned with two important topics: system analysis [5][6] and control synthesis [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Due to their theoretical and practical importance, numerous studies have been devoted to singular systems for several decades, and a great number of fundamental notions and results in control and system theory based on regular systems have been extended successfully to singular systems [5][6][7][8][9]. Basically, these works concerned with two important topics: system analysis [5][6] and control synthesis [7][8][9]. The former sought to find sufficient conditions for the existence of a feedback control such that the resulting closed-loop system is regular, impulse free and stable.…”

Section: Introductionmentioning

confidence: 99%

A less conservative delay-dependent stability for uncertain singular linear systems with time-delays

Jiang

Gui

Xie

2010

2010 8th World Congress on Intelligent Control and Automation

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In this paper, the delay-dependent stability problem is investigated for a class of singular time-delay (STD) systems with norm bounded parametric uncertainties. Without resorting to any bounding techniques for some cross terms and model transformation, the new less conservative delay-dependent stability criteria assuring the regularity, impulse-free and robust stability of the STD systems are derived by constructing a novel Lyapunov-Krasovskii functional (LKF). The present method incorporates a new integral-equality technique combined with a recently proposed idea of introducing free-weighting matrices.Numerical examples are provided to illustrate the effectiveness and less conservativeness of the developed techniques.

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“…Xu and Lam have investigated the problem of robust H ∞ control of singular discretetime Markovian jump systems, where necessary and sufficient conditions for stochastic admissibility are obtained in terms of linear matrix inequalities (LMIs) [16,17]. Zou and Wang et al, have considered the reconstructability and detectability of the jump modes of discrete singular systems [18]. Ma and Liu et al have discussed robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties [19].…”

Section: Introductionmentioning

confidence: 99%

Delay‐dependent robust control for singular discrete‐time Markovian jump systems with time‐varying delay

Zhou

Duan

et al. 2009

Intl J Robust & Nonlinear

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SUMMARYThe problem of delay-dependent robust stabilization for uncertain singular discrete-time systems with Markovian jumping parameters and time-varying delay is investigated. In terms of free-weighting-matrix approach and linear matrix inequalities, a delay-dependent condition is presented to ensure a singular discrete-time system to be regular, causal and stochastically stable based on which the stability analysis and robust stabilization problem are studied. An explicit expression for the desired state-feedback controller is also given. Some numerical examples are provided to demonstrate the effectiveness of the proposed approach.

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Jump modes analysis and observer design for discrete singular systems

Cited by 4 publications

References 21 publications

An Adaptive Soft Sensor Based on Nonlinear Differential-Algebraic Observer for Chemical Processes

An Adaptive Soft Sensor Based on Nonlinear Differential-Algebraic Observer for Chemical Processes

A less conservative delay-dependent stability for uncertain singular linear systems with time-delays

Delay‐dependent robust control for singular discrete‐time Markovian jump systems with time‐varying delay

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