Functional relationships between the conventional steady-state error characteristics and the weighting matrices in the quadratic performance index†
- 1 June 1972
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 15 (6) , 1147-1156
- https://doi.org/10.1080/00207177208932227
Abstract
The requirements for achieving a desired value of steady-state error for an optimal control system utilizing the quadratic performance index with a linear plant arc derived for step, ramp and parabolic inputs. These requirements result in a number of the elements of the Riccati matrix being specified in terms of known parameters. It is shown that for an all-pole plant the control system cannot follow a parabolic input. For the stop input the q 11 element of the Q matrix is specified as one for an all-pole plant or in terms of the fixed plant parameters for a pole-zero plant. Depending on the number of requirements and the order of the system it may be necessary to assume values for the remaining elements of the Q matrix in order to solve the reduced Riccati equation.Keywords
This publication has 1 reference indexed in Scilit:
- When Is a Linear Control System Optimal?Journal of Basic Engineering, 1964