PARSIM

1. ~ v yd y y r G Cr Tuning Cy IFT PARSIM IFT Target PARSIM Controller Tuning by the Parameter Signature Isolation Method Michael McKinley, Professor Kourosh Danai (Advisor) University of Massachusetts Problem Definition Controller Tuning by the Parameter Signature Isolation Method (PARSIM)‏ The Parameter Signature Isolation Method (PARSIM) relies on the added resolution attained by expanding the prediction error into the higher dimension of the time-scale plane. By taking advantage of this added resolution, PARSIM can isolate regions in the time-scale plane wherein the sensitivity of outputs to individual model parameters is dominant relative to others. At these regions, it can then estimate individual parameter errors for adaptation. Here, PARSIM is applied to tuning controllers for single-input single-output systems. The results indicate that PARSIM provides a viable solution to tuning PID controllers with results comparable to the Gauss-Newton method in noise free cases. Gauss-Newton Tuning Approach Parameter Signature Isolation Method (PARSIM) Cost Function Approximation of Performance Error by First Order Taylor Series Minimize Cost to Achieve Optimal Performance Performance Error Estimation of Parameter Effects Estimation of Prediction Error in terms of Parameter Effects Wavelet Transform of Prediction Error Gradient-based Parameter Adaptation Parameter Error Estimation at the Signatures Target (green) Target (green) 20 Iterations 20 Iterations PARSIM'S Parameter Adaptation Publications: K. Danai, J. McCusker, 2008, Parameter Adaptation by Parameter Signature Isolation in the Time-Scale Domain. ASME J. of Dynamic Systems Measurement and Control, accepted. K. Danai, J. McCusker, and M. McKinley, 2008, Iterative Controller Tuning by Signature Isolation in the Time-Frequency Domain. working paper. This work is supported in part by the National Science Foundation under NSF award number 0552548, and by the Engineering Research Centers Program of the National Science Foundation under award number 0313747, James M. Smith, ’67, and the Dean’s Fund for Undergraduate Research in Engineering established in honor of Joseph I. and Barbara H. Goldstein. Any opinions, findings, conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect those of the National Science Foundation.