Suboptimal Feedback Control of Pole Locations in Linear Systems.
Abstract
The report is concerned with the following problem: given a linear time invariant system, determine what constant feedback control is to be used so that the final closed loop system poles (the system eigenvalues) lie within a given preassigned region of the complex plane and such that the norm of the feedback matrix is minimized. The approach taken in this report is to derive three alternate methods of obtaining a suboptimal feedback control. The first method uses Kalman's concept of controllability and the control canonical form to initially assign the closed loop poles and then searches for the suboptimal feedback control. The second method uses the inherent optimality of the pseudoinverse of a matrix to assign the closed loop poles with a suboptimal control in one step. The last method uses Gersgorin estimates of the pole locations in determining the suboptimal feedback control. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1972
- Accession Number
- AD0743969
Entities
People
- John C. Durrett
Organizations
- Flight Dynamics Laboratory