A Novel Delta Operator Kalman Filter Design and Convergence Analysis

Yang, Hongjiu; Xia, Yuanqing; Shi, Peng; Fu, Mengyin

doi:10.1109/tcsi.2011.2131330

Cited by 49 publications

(16 citation statements)

References 27 publications

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“…Lemma 2 [10] For some given matrices γ , D and E of appropriate dimension and with γ symmetric, then …”

Section: Problem Descriptionmentioning

confidence: 99%

Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays

Chen¹,

Xiao²

2016

Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

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Abstract-The robust stabilization problem is investigated for a class of delta operator formulated Markovian jump systems with time-varying delays. The aim is to design a state feedback controller which can make the closed-loop system stochastic asymptotically stable in delta domain. A sufficient condition of the existence of such controllers is obtained by the linear matrix inequality approach and a design procedure of such controllers is presented. Furthermore, the proposed method can unify some previous related continuous and discrete systems into the framework on operator systems. A numerical example is provided to demonstrate availability and efficiency of the design method.Keywords-robust stochastic stabilization, Markovian jump system, delta operator system, time-varying delays I. INTRODUCTION Goodwin constructed delta operator instead of traditional shift operator for sampling continuous systems in [1]. The proposed method can unify some previous related results of the continuous and discrete systems into the frame-work of the delta operator systems framework. A class of system in delta domain has been investigated in [2][3][4]. The problem of system instability when the sampling time is fast can be solved by using delta operator model [5]. It also has been shown better numerical properties by using delta operator than using shift operator at high sampling rate [6].

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“…Lemma 2 [10] For some given matrices γ , D and E of appropriate dimension and with γ symmetric, then …”

Section: Problem Descriptionmentioning

confidence: 99%

Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays

Chen¹,

Xiao²

2016

Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

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show abstract

“…Similarly, Xia and Han [52] also considered the system uncertainty and gave the sufficient condition for the design of the robust KF. Yang et al [53] considered a delta operator KF and applied it to an inverted pendulum model in experiment. A new sufficient condition of convergence analysis for the designed delta operator KF based on Lyapunov functional was given.…”

Section: Filtering For Linear Systemsmentioning

confidence: 99%

Recent progress in networked control systems — A survey

Xia

Gao

Yan

et al. 2015

Int. J. Autom. Comput.

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For the past decades, networked control systems (NCSs), as an interdisciplinary subject, have been one of the main research highlights and many fruitful results from different aspects have been achieved. With these growing research trends, it is significant to consolidate the latest knowledge and information to keep up with the research needs. In this paper, the results of different aspects of NCSs, such as quantization, estimation, fault detection and networked predictive control, are summarized. In addition, with the development of cloud technique, cloud control systems are proposed for the further development of NCSs.

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“…In different way, Hu [7] revises the lemma. In recent years, delta operator systems are received some attention [8,9]. In [8], Kalman filter is designed for delta operator systems by using a novel method.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, delta operator systems are received some attention [8,9]. In [8], Kalman filter is designed for delta operator systems by using a novel method. For discrete-time linear systems described by shift and delta operators, the numerical sensitivity of linear matrix inequalities (LMIs) is analysed [9].…”

Section: Introductionmentioning

confidence: 99%

Robust fault‐tolerant control for uncertain delta operator switched systems

Jiang

Yang

2014

IET Control Theory & Applications

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This study addresses two issues of robust fault-tolerant stabilisation with circular disk pole constraints for uncertain delta operator switched systems with actuator faults. The first computes the dwell time and proposes a state feedback controller design approach to stabilise the considered switched system. The second solves the D-stabilisation problem based on state switching strategy. Finally, an illustrative example is provided to validate the feasibility and effectiveness of the proposed approaches. Nomenclature Rset of real numbers R n set of n-dimensional real column vectors R m×n set of m × n real matrices δ delta operator D an LMI region D(q, r) circular disk with centre at (−q, 0) and radius r, where q, r ∈ R and r > 0; If A, B ∈ R n×n , then He(A) denotes the matrix A + A T A( ) < 0 denotes that the matrix A is a negative (semi-) definite symmetric matrix A( ) < B denotes that the matrix A − B is a negative (semi-) definite symmetric matrix

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A Novel Delta Operator Kalman Filter Design and Convergence Analysis

Cited by 49 publications

References 27 publications

Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays

Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays

Recent progress in networked control systems — A survey

Robust fault‐tolerant control for uncertain delta operator switched systems

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