Closed-form solutions to a class of H/sup infinity /-optimization problems-output feedback case

2005 ◽  
Author(s):  
A. Saberi ◽  
B.M. Chen ◽  
Z. Lin
Keyword(s):  
Closed Form ◽  
Output Feedback ◽  
Optimization Problems ◽  
Closed Form Solutions

scholarly journals SWIPT-Aware Fog Information Processing: Local Computing vs. Fog Offloading

Sensors ◽  
2018 ◽  
Vol 18 (10) ◽  
pp. 3291 ◽  
Author(s):  
Haina Zheng ◽  
Ke Xiong ◽  
Pingyi Fan ◽  
Li Zhou ◽  
Zhangdui Zhong
Keyword(s):  
Information Processing ◽  
Closed Form ◽  
Optimization Problems ◽  
Fog Computing ◽  
Mode Selection ◽  
Optimization Theory ◽  
Access Point ◽  
Power Splitting ◽  
Closed Form Solutions ◽  
Processing Modes

This paper studies a simultaneous wireless information and power transfer (SWIPT)-aware fog computing by using a simple model, where a sensor harvests energy and receives information from a hybrid access point (HAP) through power splitting (PS) receiver architecture. Two information processing modes, local computing and fog offloading modes are investigated. For such a system, two optimization problems are formulated to minimize the sensor’s required power for the two modes under the information rate and energy harvesting constraints by jointly optimizing the time assignment and the transmit power, as well as the PS ratio. The closed-form and semi-closed-form solutions to the proposed optimization problems are derived based on convex optimization theory. Simulation results show that neither mode is always superior to the other one. It also shows that when the number of logic operations per bit associated with local computing is less than a certain value, the local computing mode is a better choice; otherwise, the fog offloading mode should be selected. In addition, the mode selection associated with the positions of the user for fixed HAP and fog server (FS) is also discussed.

Closed-form solutions to a class of H∞-optimization problems

1994 ◽  
Vol 60 (1) ◽  
pp. 41-70 ◽  
Author(s):  
ALI SABERI ◽  
BEN M. CHEN ◽  
ZONGLI LIN
Keyword(s):  
Closed Form ◽  
Optimization Problems ◽  
Closed Form Solutions

scholarly journals Outage Performance of Relay-Assisted Single- and Dual-Stage NOMA Over Power Line Communications

2021 ◽  
Author(s):  
ROOPESH RAMESH ◽  
Sanjeev Gurugopinath ◽  
sami muhaidat
Keyword(s):  
Closed Form ◽  
Communication Systems ◽  
Multiple Access ◽  
Optimization Problems ◽  
Power Line ◽  
Closed Form Solutions ◽  
Power Line Communications ◽  
Optimal Power ◽  
Dual Stage ◽  
Outage Probabilities

<p>In this paper, we analyze the performance of relay-assisted, single-stage (SS) non-orthogonal multiple access (NOMA) and dual-stage (DS) NOMA power line communication systems. Specifically, derive closed form expressions for the outage probabilities of the SS NOMA and DS NOMA schemes. Subsequently, we formulate optimization problems and obtain closed-form solutions for the optimal power allocation coefficients of the SS NOMA and DS NOMA scheme, such that the probability of overall outage is minimized. The accuracy of our analysis and the tightness of the approximations employed are validated through Monte Carlo simulations and numerical techniques. Moreover, we show that the DS NOMA scheme outperforms the SS NOMA scheme, in terms of the overall outage probability.</p>

scholarly journals Outage Performance of Relay-Assisted Single- and Dual-Stage NOMA Over Power Line Communications

2021 ◽  
Author(s):  
ROOPESH RAMESH ◽  
Sanjeev Gurugopinath ◽  
sami muhaidat
Keyword(s):  
Closed Form ◽  
Communication Systems ◽  
Multiple Access ◽  
Optimization Problems ◽  
Power Line ◽  
Closed Form Solutions ◽  
Power Line Communications ◽  
Optimal Power ◽  
Dual Stage ◽  
Outage Probabilities

<p>In this paper, we analyze the performance of relay-assisted, single-stage (SS) non-orthogonal multiple access (NOMA) and dual-stage (DS) NOMA power line communication systems. Specifically, derive closed form expressions for the outage probabilities of the SS NOMA and DS NOMA schemes. Subsequently, we formulate optimization problems and obtain closed-form solutions for the optimal power allocation coefficients of the SS NOMA and DS NOMA scheme, such that the probability of overall outage is minimized. The accuracy of our analysis and the tightness of the approximations employed are validated through Monte Carlo simulations and numerical techniques. Moreover, we show that the DS NOMA scheme outperforms the SS NOMA scheme, in terms of the overall outage probability.</p>

scholarly journals On Global, Closed-Form Solutions to Parametric Optimization Problems for Robots With Energy Regeneration

2017 ◽  
Vol 140 (3) ◽  
Author(s):  
Poya Khalaf ◽  
Hanz Richter
Keyword(s):  
Energy Storage ◽  
Closed Form ◽  
Parametric Optimization ◽  
Optimization Problems ◽  
Electric Energy ◽  
Energy Utilization ◽  
Closed Form Solutions ◽  
Motion Trajectories ◽  
Asymptotic Tracking ◽  
Regenerative Energy

Parametric optimization problems are considered for serial robots with regenerative drive mechanisms. A subset of the robot joints are conventional, in the sense that external power is used for actuation. Other joints are energetically self-contained passive systems that use (ultra)capacitors for energy storage. Two different electrical interconnections are considered for the regenerative drives, a distributed and a star configuration. The latter allows for direct electric energy redistribution among joints, a novel idea shown in this paper to enable higher energy utilization efficiencies. Closed-form expressions are found for the optimal manipulator parameters (link masses, link lengths, etc.) and drive mechanism parameters (gear ratios, etc.) that maximize regenerative energy storage between any two times, given motion trajectories. A semi-active virtual control strategy previously proposed is used to achieve asymptotic tracking of trajectories. Optimal solutions are shown to be global and unique. In addition, closed-form expressions are provided for the maximum attainable energy. This theoretical maximum places limits on the amount of energy that can be recovered. The results also shed light on the comparative advantages of the star and distributed configurations. A numerical example with a double inverted pendulum and cart system is provided to demonstrate the results.

scholarly journals Explicit state and output feedback boundary controllers for partial differential equations

2003 ◽  
Vol 13 (2) ◽  
pp. 1-9 ◽  
Author(s):  
Andrey Smyshlyaev ◽  
Miroslav Krstic
Keyword(s):  
Closed Form ◽  
Output Feedback ◽  
Closed Loop ◽  
Parabolic Problems ◽  
Stabilization Problem ◽  
Hyperbolic Partial Differential Equation ◽  
Boundary Stabilization ◽  
Partial Differential ◽  
Closed Form Solutions ◽  
Sensor Actuator

In this paper the explicit (closed form) solutions to several application-motivated parabolic problems are presented. The boundary stabilization problem is converted to a problem of solving a specific linear hyperbolic partial differential equation (PDE). This PDE is then solved for several particular cases. Closed loop solutions to the original parabolic problem are also found explicitly. Output feedback problem under boundary measurement is explicitly solved with both anti-collocated and collocated sensor/actuator locations. It is shown how closed form frequency domain compensators based on the closed form observers and controllers can be designed.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling
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