Optimum weight selection based LQR formulation for the design of fractional order PIλDμ controllers to handle a class of fractional order systems

Saptarshi Das, Indranil Pan, Kaushik Halder, Shantanu Das, Amitava Gupta

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

A weighted summation of Integral of Time Multiplied Absolute Error (ITAE) and Integral of Squared Controller Output (ISCO) minimization based time domain optimal tuning of fractional-order (FO) PID or PIλDμ controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique that minimizes the change in trajectories of the state variables and the control signal. A class of fractional order systems having single non-integer order element which show highly sluggish and oscillatory open loop responses have been tuned with an LQR based FOPID controller. The proposed controller design methodology is compared with the existing time domain optimal tuning techniques with respect to change in the trajectory of state variables, tracking performance for change in set-point, magnitude of control signal and also the capability of load disturbance suppression. A real coded genetic algorithm (GA) has been used for the optimal choice of weighting matrices while designing the quadratic regulator by minimizing the time domain integral performance index. Credible simulation studies have been presented to justify the proposition.
Original languageEnglish
Title of host publication2013 International Conference on Computer Communication and Informatics
PublisherIEEE
Pages1-6
Number of pages6
DOIs
Publication statusPublished - 4 Jan 2013
Event2013 International Conference on Computer Communication and Informatics - Coimbatore, India
Duration: 4 Jan 20136 Jan 2013

Conference

Conference2013 International Conference on Computer Communication and Informatics
Abbreviated titleICCCI 2013
Country/TerritoryIndia
CityCoimbatore
Period4/01/136/01/13

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