Introduction to optimal control

Burghes, David; Graham, Alexander

doi:10.1533/9780857099495.2.197

Cited by 6 publications

(5 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We want to find two functions x 1 (t) and x 2 (t) which minimize the following objective function, [5]-page 223,…”

Section: Examplementioning

confidence: 99%

Solving of time varying quadratic optimal control problems by using Bézier control points

Gachpazan

2011

Comput. Appl. Math.

View full text Add to dashboard Cite

Abstract. In this paper, linear quadratic optimal control problems are solved by applying least square method based on Bézier control points. We divide the interval which includes t, into k subintervals and approximate the trajectory and control functions by Bézier curves. We have chosen the Bézier curves as piacewise polynomials of degree three, and determined Bézier curves on any subinterval by four control points. By using least square method, we introduce an optimization problem and compute the control points by solving this optimization problem.Numerical experiments are presented to illustrate the proposed method.Mathematical subject classification: 49N10.

show abstract

“…We want to find two functions x 1 (t) and x 2 (t) which minimize the following objective function, [5]-page 223,…”

Section: Examplementioning

confidence: 99%

Solving of time varying quadratic optimal control problems by using Bézier control points

Gachpazan

2011

Comput. Appl. Math.

View full text Add to dashboard Cite

show abstract

“…4. The transfer functions are calculated [6][7][8] from these figures and parameter T is determined in graphing method. Through computing concludes that: for high sailing depth could be calculated.…”

Section: Solving Of Process Transfer Function Of Thermal Power Propul...mentioning

confidence: 99%

Research on Closed-Loop Control of the Step Response

Wang

Dang

Zhao

2011

AMM

View full text Add to dashboard Cite

Based on the analysis of six kinds of working points, the process function of torpedo thermal power propulsion system is solved. The results show that the process transfer function is approximate to inertial link. PI control algorithm is presented and its parameters are deduced. The algorithm can not only control the output variables, but also can monitor the intermediate variable. Closed-loop control system model is established. Variable speed characteristics of torpedo at constant depth and steady speed characteristics in depth-changed process are simulated by MATLAB. Simulation results indicate that the system has satisfactory dynamic performance and the control quality performs well.

show abstract

“…The arrival rate of the packets of sessions to active router 2 is controlled by the changing the weight of the session in the upstream router. A system would be a stable system if its queue size and subsequently queuing delay decays to a lower value in response to a weight change (as time approaches infinity) [21]. Based on Equation (13) the controlled input rate for a downstream active router [20] is given by lðtÞ ¼ max 0; minðC r ðtÞ; C link ðtÞ…”

Section: Stability Analysis Of Active Schedulingmentioning

confidence: 99%

An active scheduling paradigm for open adaptive network environments

Hussain

2004

Int J Communication

View full text Add to dashboard Cite

SUMMARYActive and programmable networks change the functionality of routers and switches by using agents and active packets. This paper presents a new packet scheduling scheme called Active Scheduling to control and maintain QoS parameters in virtual private networks (VPNs) within the confines of adaptive and programmable networks. In Active Scheduling an agent on the router monitors the accumulated queuing delay for each service. In order to control and to keep the end-to-end delay within the bounds, the weights for services are adjusted dynamically by agents on the routers spanning the VPN. If there is an increase or decrease in queuing delay of a service, an agent on a downstream router informs the upstream routers to adjust the weights of their queues. This keeps the end-to-end delay of services within the specified bounds and offers better QoS compared to VPNs using static WFQ. The paper describes the algorithm for Active Scheduling, and presents simulation results and these are compared with WFQ.

show abstract

Introduction to optimal control

Cited by 6 publications

References 12 publications

Solving of time varying quadratic optimal control problems by using Bézier control points

Solving of time varying quadratic optimal control problems by using Bézier control points

Research on Closed-Loop Control of the Step Response

An active scheduling paradigm for open adaptive network environments

Contact Info

Product

Resources

About