Optimal filtering for linear systems with state and multiple observation delays

Alcorta-García, María Aracelia; Alanis-Duran, A.

doi:10.1080/00207720701847661

Cited by 52 publications

(45 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar to the Leibniz-Newton formula for 1-D time-delay systems in [10], (11) and (17) are employed to obtain the delay-dependent bounded real lemma of 2-D system (1). The free-weighting matrices Y, W and M are used to express the relationship among the terms x, x d , and −1 l=−d x and they can easily be determined by solving LMIs (5) and (6).…”

Section: Remarkmentioning

confidence: 99%

“…The existence of delays is frequently a source of instability, and much work has been done in this area [1,13,17], especially for networked control systems (NCSs) [18]. Current efforts to achieve robust stability for one-dimensional (1-D) time-delay systems mainly focus on the delay-dependent criteria [9,10,21], which include information on the size of the delay.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Peng

Guan

2008

Circuits Syst Signal Process

View full text Add to dashboard Cite

In this paper, we consider a class of two-dimensional (2-D) local statespace (LSS) Fornasini-Marchesini (FM) second models with delays in the states, and we study delay-independent and delay-dependent H ∞ control problems via output feedback. First, based on the definition of H ∞ disturbance attenuation γ for 2-D state-delayed systems, we propose a delay-dependent bounded real lemma. Specifically, a new Lyapunov functional candidate is introduced and free-weighting matrices are added to the difference Lyapunov functional for 2-D systems possessing two directions. Then delay-independent and delay-dependent output feedback H ∞ controllers are developed that ensure that the closed-loop system is asymptotically stable and has H ∞ performance γ in terms of linear matrix inequality (LMI) feasibility. Furthermore, the minimum H ∞ norm bound γ is obtained by solving linear objective optimization problems. Numerical examples demonstrate the effectiveness and advantages of the LMI approach to H ∞ control problems for 2-D state-delayed systems.

show abstract

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Peng

Guan

2008

Circuits Syst Signal Process

View full text Add to dashboard Cite

show abstract

“…In the theory of robust control, it has been frequently encountered in several classes of systems that include networked control systems [7,8], quantized control systems [9], discrete singular hybrid systems [10], input delay systems [11,12], state delay systems [13][14][15] and so on. As is known that the shorter the sampling period, the better the system performance for uncertain control systems.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive sliding mode control for uncertain delta operator systems

Yang¹,

Xia²,

Fu³

et al. 2010

Adaptive Control & Signal

View full text Add to dashboard Cite

In this paper, a robust adaptive sliding mode controller is presented for delta operator systems with mismatched uncertainties and exogenous disturbances. The parameters of the delta operator system are taken for norm-bounded uncertainties. The exogenous disturbance is also assumed to be bounded. After the statement of a sufficient condition for the existence of linear sliding surface based on linear matrix inequality technique, a robust reaching motion control method for delta operator systems is presented. Afterwards, an adaptive sliding mode controller for delta operator systems is designed. A bridge between the robust adaptive sliding mode control and the delta operator system framework is made. Numerical example is given to illustrate the effectiveness of the developed techniques.

show abstract

“…Many research topics related to systems with time delays have been studied [13][14][15][16][17][18][19]. Markov process is used to describe the abrupt changes of the systems including communications, power systems and economics systems [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ filtering for uncertain Markovian jump systems with mode‐dependent distributed delays

Zhao¹,

Xu²,

Zou³

2009

Adaptive Control & Signal

View full text Add to dashboard Cite

This paper deals with the problem of robust H ∞ filter design for Markovian jump systems with norm-bounded time-varying parameter uncertainties and mode-dependent distributed delays. Both the state and the measurement equations are assumed to be with distributed delays. Sufficient conditions for the existence of robust H ∞ filters are obtained. Via solving a set of linear matrix inequalities, a desired filter can be constructed. The developed theory is illustrated by a simulation example.

show abstract

Optimal filtering for linear systems with state and multiple observation delays

Cited by 52 publications

References 22 publications

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Robust adaptive sliding mode control for uncertain delta operator systems

Robust H_∞ filtering for uncertain Markovian jump systems with mode‐dependent distributed delays

Contact Info

Product

Resources

About

Optimal filtering for linear systems with state and multiple observation delays

Cited by 52 publications

References 22 publications

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Output Feedback H ∞ Control for 2-D State-Delayed Systems

Robust adaptive sliding mode control for uncertain delta operator systems

Robust H∞ filtering for uncertain Markovian jump systems with mode‐dependent distributed delays

Contact Info

Product

Resources

About

Robust H_∞ filtering for uncertain Markovian jump systems with mode‐dependent distributed delays