Optimal Sampled-Data Control Systems

Chen, Tongwen; Francis, Bruce A.

doi:10.1007/978-1-4471-3037-6

Cited by 1,610 publications

(1,168 citation statements)

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“…((DA1) ⇒ (J1)) The inequality sup w ∥G γ w∥ 2 ∥w∥ 2 < γ holds by Lemma 1. By the non-increasing monotonicity of X λ , we have the following inequalities for ∀λ ≥ γ:…”

Section: Interpretation Of Approachesmentioning

confidence: 86%

Reduced-order Construction of H∞ State Feedback Law for Discrete-time Input-delayed Systems

Hashikura¹,

Kojima²,

Ohta³

2013

Transactions of ISCIE

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The H ∞ state feedback control problem for discrete-time single input-delay systems is studied based on the min-max optimization and J-spectral factorization theories. The focus is on efficient construction of the H ∞ state feedback law despite the augmented state space due to the input delay. By the min-max optimization approach, the feasibility of the H ∞ disturbance attenuation is characterized in terms of a Riccati difference equation, and the stabilizing solution of the standard KYP equation for the augmented system is constructed from that for the delay-free case. The Jspectral factorization approach is outlined based on the author's previous results. This approach yields another kind of feasibility conditions characterized in terms of a symplectic matrix. The relationship between the first and second approaches is addressed via finite-horizon ℓ 2 -gain analysis.

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“…((DA1) ⇒ (J1)) The inequality sup w ∥G γ w∥ 2 ∥w∥ 2 < γ holds by Lemma 1. By the non-increasing monotonicity of X λ , we have the following inequalities for ∀λ ≥ γ:…”

Section: Interpretation Of Approachesmentioning

confidence: 86%

Reduced-order Construction of H∞ State Feedback Law for Discrete-time Input-delayed Systems

Hashikura¹,

Kojima²,

Ohta³

2013

Transactions of ISCIE

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“…Because of the introduction of the deadbandtriggered scheme, some uncertain will be brought to the sampled-data system. We furthermore use (4) to describe deadband mechanism (3) in the model of systems (1). We can clearly see that there exists ( +1 ) = ( +1 ) when Δ 1 ( +1 ) = 0 in (4), and there exists…”

Section: Remarkmentioning

confidence: 99%

“…With the rapid development of digital technology, sensor technology, and the huge performance of these technologies, sampled-data systems has become one of the most widely used systems including industrial processes [1][2][3]. In this class of system, the object is running in a continuous domain, and the output of the object is a discrete signal measured by a sensor.…”

Section: Introductionmentioning

confidence: 99%

Control Method for Sampled-Data Systems with Multiple Channels Based on Deadband-Triggered Scheme

Liu

Chu

2018

Security and Communication Networks

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A new deadband-triggered scheme is proposed to investigate the control problems for sampled-data systems with multiple transmitting channels. Sampled-data systems simultaneously contain continuous-time and discrete-time signals, which make the systems hybrid. In the sampled-data systems with multiple channels, the every state signals are transmitting at different channels. The deadband communication constraint is adopted to reduce the usage of communication resources. When the difference between the previous value and the most present value is lager than a given threshold of deadband, then the node of channels transmits the most present value. Furthermore, by use of Lyapunov functional method and input delay approach, the new stability analysis and stabilization conditions for the sampled-data with multiple channels on the basis of deadband-triggered scheme are proposed. Numerical simulations and experiments show the validity and usefulness of the derived conditions. The proposed deadbandtriggered scheme is beneficial to further reduce the load of the communication data.

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“…A control theory for linear systems sampled at fixed rates was established a long time ago, e.g. (Åström and Wittenmark (1997); Chen and Francis (1995)). However, in the context of distributed control systems, more complex assumptions are needed to consider that the control loop is implemented using a digital system where data are exchanged over networks.…”

Section: Problem Formulationmentioning

confidence: 99%

Real-time control systems: feedback, scheduling and robustness

Simon

Seuret

Sename

2017

International Journal of Systems Science

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The efficient control of real-time distributed systems, where continuous components are governed through digital devices and communication networks, needs a careful examination of the constraints arising from the different involved domains inside co-design approaches. Thanks to the robustness of feedback control, both new control methodologies and slackened real-time scheduling schemes are proposed beyond the frontiers between these traditionally separated fields. A methodology to design robust aperiodic controllers is provided, where the sampling interval is considered as a control variable of the system. Promising experimental results are provided to show the feasibility and robustness of the approach.

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Optimal Sampled-Data Control Systems

Abstract: Softcover reprint of the hardcover 1st edition 1995The publisher makes no representation. express or implied. with regard to the accuracy of the information contained in this book and cannot accept any legal respolUibility or liability for any errors or omissions that may be made.

Cited by 1,610 publications

References 0 publications

Reduced-order Construction of H∞ State Feedback Law for Discrete-time Input-delayed Systems

Reduced-order Construction of H∞ State Feedback Law for Discrete-time Input-delayed Systems

Control Method for Sampled-Data Systems with Multiple Channels Based on Deadband-Triggered Scheme

Real-time control systems: feedback, scheduling and robustness

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