Minimizing energy consumption of lighting system using fractional-order extremum seeking control

In this paper, a lighting control algorithm is proposed to minimize energy usage despite environmental variations. A hardware-in-the-loop prototype of a minimum energy cognitive lighting control is developed. A fractional-order extremum seeking controller (ESC) with switching surfaces is employed to minimize energy usage, when a PID law is applied to maintain a desired light level. The principle and stability of the proposed minimum energy cognitive lighting control scheme are analyzed mathematically. The hardware-in-the-loop experimental results are presented to demonstrate the practicality and effectiveness of the proposed cognitive lighting control scheme.

[1]  Igor Podlubny,et al.  Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..

[2]  Tankut Acarman,et al.  Stability and performance improvement of extremum seeking control with sliding mode , 2003 .

[3]  M. Krstić,et al.  Design and stability analysis of extremum seeking feedback for general nonlinear systems , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[4]  Duong Tran,et al.  Sensorless Illumination Control of a Networked LED-Lighting System Using Feedforward Neural Network , 2014, IEEE Transactions on Industrial Electronics.

[5]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[6]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .

[7]  Lorne A. Whitehead,et al.  Development of a cost-effective solar illumination system to bring natural light into the building core , 2008 .

[8]  Yangquan Chen,et al.  Fractional order [proportional derivative] controller for a class of fractional order systems , 2009, Autom..

[9]  YangQuan Chen,et al.  Fractional order PID control of a DC-motor with elastic shaft: a case study , 2006, 2006 American Control Conference.

[10]  M. Krstić,et al.  Stochastic Averaging and Stochastic Extremum Seeking , 2012 .

[11]  Miroslav Krstic,et al.  Source seeking with non-holonomic unicycle without position measurement and with tuning of forward velocity , 2007, Syst. Control. Lett..

[12]  Alan J. Heeger,et al.  White light from InGaN/conjugated polymer hybrid light-emitting diodes , 1997 .

[13]  Shouming Zhong,et al.  Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems , 2014, Autom..

[14]  D. Matignon Stability properties for generalized fractional differential systems , 1998 .

[15]  Ying Tan,et al.  On non-local stability properties of extremum seeking control , 2006, Autom..

[16]  Christoph F. Reinhart,et al.  Findings from a survey on the current use of daylight simulations in building design , 2006 .

[17]  Miroslav Krstic,et al.  Stability of extremum seeking feedback for general nonlinear dynamic systems , 2000, Autom..

[18]  Ying Tan,et al.  ON NON-LOCAL STABILITY PROPERTIES OF EXTREMUM SEEKING CONTROL , 2005 .

[19]  Brandon Stark,et al.  Minimum Energy Cognitive Lighting Control: Stability Analysis and Experiments , 2013 .

[20]  Shouming Zhong,et al.  Design of sliding mode controller for a class of fractional-order chaotic systems , 2012 .

[21]  André R. Fioravanti,et al.  PID controller design for fractional-order systems with time delays , 2012, Syst. Control. Lett..

[22]  Brandon Stark,et al.  Fractional-order adaptive minimum energy cognitive lighting control strategy for the hybrid lighting system , 2015 .

[23]  P. Olver Nonlinear Systems , 2013 .

[24]  Brandon Stark,et al.  Adaptive minimum energy cognitive lighting control: Integer order vs fractional order strategies in sliding mode based extremum seeking , 2013 .