Closed Loop Pole Placement and Cost Analysis
Abstract
A study was made of Type I linear control systems, and cost functions, the integral of error squared, and the integral of error squared plus a weighting factor times the control effort squared. The effects of cost function minimization on characteristic root movement for specific third and fourth order systems are investigated to determine if they move into any recognizable patterns. The effects on the unit step response of the minimized systems are also determined. Performance of these minimized systems in the presence of saturation is evaluated specifically to determine if the system response can be improved beyond that of function minimization alone. By minimizing the integral of error squared, IES, the characteristic roots do tend to the pattern of the IES standard form. Also, by weighting the control effort while minimizing the system error, the characteristic roots do tend toward the Butterworth pattern. Systems designed in this manner do perform better in the presence of saturation. Keywords: Theses; Word processing; Text processing.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1989
- Accession Number
- ADA220177
Entities
People
- Joel C. Reaves
Organizations
- Naval Postgraduate School