H/sup /spl infin// control of systems with multiple I/O delays via decomposition to adobe problems

Meinsma, Gjerrit; Mirkin, Leonid

doi:10.1109/tac.2004.841936

Cited by 96 publications

(93 citation statements)

References 19 publications

(56 reference statements)

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“…In this case, the delay blocks in Figure 2 are in fact time-advance blocks and the integral is a non-causal integral. The reason for this difference is that, here, unlike in [19], we would like to take the nominal delays outside the plant (see Figure 3) in order to apply the approach of [16]. This will allow us to design an optimal controller, opposed to [19], where a suboptimal controller was designed.…”

Section: Control Problemmentioning

confidence: 99%

“…represents the nominal time-delays, which are taken outside the plant in order to apply the approach of [16], …”

Section: Remarkmentioning

confidence: 99%

“…The general solution of the H ∞ -optimal controller design problem for systems which involve multiple delays, however, was not available up until recently. Meinsma and Mirkin [16] formulated a solution to this problem by splitting the problem into a nested sequence of simpler problems each with a single delay.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the overall solution presented in [19] is not optimal, but suboptimal in the H ∞ sense. To find an optimal solution to this problem, the approach of [16] was first considered in [20]. Then, in [21], where the general framework of the present work was reported, the approach of [16] was used to obtain an H ∞ -optimal solution to the problem presented in [19].…”

Section: Introductionmentioning

confidence: 99%

“…To find an optimal solution to this problem, the approach of [16] was first considered in [20]. Then, in [21], where the general framework of the present work was reported, the approach of [16] was used to obtain an H ∞ -optimal solution to the problem presented in [19]. In [21], however, it was assumed that the uncertain parts of the time-delays are always non-negative.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Robust flow control in data‐communication networks with multiple time‐delays

Ünal

Ataşlar-Ayyıldız

İftar

et al. 2010

Intl J Robust & Nonlinear

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SUMMARYRobust controller design for a flow control problem where uncertain multiple time-varying time-delays exist is considered. Although primarily data-communication networks are considered, the presented approach can also be applied to other flow control problems and can even be extended to other control problems where uncertain multiple time-varying time-delays exist. Besides robustness, tracking and fairness requirements are also considered. To solve this problem, an H ∞ optimization problem is set up and solved. Unlike previous approaches, where only a suboptimal solution could be found, the present approach allows to design an optimal controller. Simulation studies are carried out in order to illustrate the time-domain performance of the designed controllers. The obtained results are also compared to the results of a suboptimal controller obtained by an earlier approach.

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Section: Control Problemmentioning

confidence: 99%

“…represents the nominal time-delays, which are taken outside the plant in order to apply the approach of [16], …”

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust flow control in data‐communication networks with multiple time‐delays

Ünal

Ataşlar-Ayyıldız

İftar

et al. 2010

Intl J Robust & Nonlinear

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Robust Output Feedback Controller Design for Time‐Delayed Teleoperation: Experimental Results

Sharifi

Talebi

Motaharifar

2016

Asian Journal of Control

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In this paper, a robust output feedback control strategy is proposed for a nonlinear teleoperation system which can deal with stability as well as transparency despite the variable time‐delay and uncertain dynamics. The proposed approach is composed of two steps. First, local Lyapunov based adaptive controllers are applied to both master and slave sides in order to suppress the nonlinearities in the system dynamics. Afterwards, a new observer‐based controller scheme is proposed to achieve stability and performance (transparency) of the teleoperation system. Using the Lyapunov techniques, stability and performance objectives are cast as some linear matrix inequality (LMI) feasibility conditions. To evaluate the performance of the proposed controller, a set of simulations and experiments are performed. Through simulation results, it is demonstrated that the proposed approach significantly outperforms the existing methodologies reported in the literature.

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Performance and Robustness of Flow Controllers Designed Using Non‐causal Uncertainty Blocks

Ünal

İftar

2011

Asian Journal of Control

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According to some recent results, use of non‐causal uncertainty blocks may be advantageous in the robust controller design of systems with multiple uncertain time‐delays. In this work, performance and robustness improvements obtained by utilizing such an approach are presented. The flow controller design problem for networks with multiple uncertain time‐delays is considered as a case study. It is shown that higher performance levels and larger stability margins are, in general, obtained by using non‐causal uncertainty blocks. A number of simulations, which illustrate the time‐domain performance improvement, are also presented.

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H/sup /spl infin// control of systems with multiple I/O delays via decomposition to adobe problems

Cited by 96 publications

References 19 publications

Robust flow control in data‐communication networks with multiple time‐delays

Robust flow control in data‐communication networks with multiple time‐delays

Robust Output Feedback Controller Design for Time‐Delayed Teleoperation: Experimental Results

Performance and Robustness of Flow Controllers Designed Using Non‐causal Uncertainty Blocks

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