Optimal Fusion Reduced-Order Kalman Estimators for Discrete-Time Stochastic Singular Systems

Sun, Shuli; Shen, Yong; Ma, Jan

doi:10.2316/journal.201.2008.1.201-1614

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…Descriptor system theory has obtained many excellent results in the control areas; the main scholarly reports can be seen in [ 1 , 2 ]. In recent years, the literature [ 3 ] considered the optimal fusion problem for the state estimation of discrete-time stochastic singular systems with multiple sensors and correlated measurement noise and obtained the optimal full-order filters and smoothers for the original system. The literature [ 4 ] proposed a novel suboptimal control method for a class of nonlinear singularly perturbed systems based on adaptive dynamic programming; the literature [ 5 ] discussed finite-time robust dissipative control for a class of descriptor systems, and the control system was effectively confined within the desired state-space ellipsoid.…”

Section: Introductionmentioning

confidence: 99%

Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems

Cao

Liao

2014

The Scientific World Journal

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The linear discrete-time descriptor noncausal multirate system is considered for the presentation of a new design approach for optimal preview control. First, according to the characteristics of causal controllability and causal observability, the descriptor noncausal system is constructed into a descriptor causal closed-loop system. Second, by using the characteristics of the causal system and elementary transformation, the descriptor causal closed-loop system is transformed into a normal system. Then, taking advantage of the discrete lifting technique, the normal multirate system is converted to a single-rate system. By making use of the standard preview control method, we construct the descriptor augmented error system. The quadratic performance index for the multirate system is given, which can be changed into one for the single-rate system. In addition, a new single-rate system is obtained, the optimal control law of which is given. Returning to the original system, the optimal preview controller for linear discrete-time descriptor noncausal multirate systems is derived. The stabilizability and detectability of the lifted single-rate system are discussed in detail. The optimal preview control design techniques are illustrated by simulation results for a simple example.

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Section: Introductionmentioning

confidence: 99%

Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems

Cao

Liao

2014

The Scientific World Journal

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Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity

Wang¹,

Hu²,

Yu³

et al. 2022

MATH

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<abstract><p>In this paper, the problem of optimized distributed fusion filtering is considered for a class of multi-sensor singular systems in the presence of fading measurements and stochastic nonlinearity. By utilizing the standard singular value decomposition, the multi-sensor stochastic singular systems are simplified to two reduced-order nonsingular subsystems (RONSs). The local filters (LFs) with corresponding error covariance matrices are proposed for RONSs via the innovation analysis approach. Then, on the basis of the matrix-weighted fusion estimation algorithm, the distributed fusion filters (DFFs) are designed for RONSs with multiple sensors in the linear minimum variance sense. Moreover, the DFFs are obtained by utilizing the state transformation for original singular systems. It can be observed that the DFFs have better accuracy in contrast with the LFs. Finally, an illustrate example is put forward to verify the feasibility of the proposed fusion filtering scheme.</p></abstract>

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Optimal Fusion Reduced-Order Kalman Estimators for Discrete-Time Stochastic Singular Systems

Cited by 2 publications

References 16 publications

Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems

Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems

Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity

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