Abstract
The authors develop a control parameterization approach for determining the (near) optimal trajectories of linear time-invariant systems with quadratic performance indices. In solving the linear quadratic (LQ) problem for time-invariant systems, each control variable is represented by a set of approximating functions with unknown coefficients. This converts the LQ problem into an unconstrained quadratic programming problem which can be solved for the (near) optimal control parameter values (i.e., the unknown coefficients) by solving a system of linear algebraic equations. As verified by simulation studies, the control parameterization approach is particularly efficient when applied to minimum energy problems and to problems with significantly fewer control variables than state variables.
Original language | English |
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Pages | 774-779 |
Number of pages | 6 |
State | Published - 1 Dec 1989 |
Externally published | Yes |
Event | Proceedings of the 1989 American Control Conference - Pittsburgh, PA, USA Duration: 21 Jun 1989 → 23 Jun 1989 |
Conference
Conference | Proceedings of the 1989 American Control Conference |
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City | Pittsburgh, PA, USA |
Period | 21/06/89 → 23/06/89 |
ASJC Scopus subject areas
- General Engineering