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Computation of optimal output-feedback compensators for linear time-invariant systems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Platzman, L. K. |
| Copyright Year | 1972 |
| Description | The control of linear time-invariant systems with respect to a quadratic performance criterion was considered, subject to the constraint that the control vector be a constant linear transformation of the output vector. The optimal feedback matrix, f*, was selected to optimize the expected performance, given the covariance of the initial state. It is first shown that the expected performance criterion can be expressed as the ratio of two multinomials in the element of f. This expression provides the basis for a feasible method of determining f* in the case of single-input single-output systems. A number of iterative algorithms are then proposed for the calculation of f* for multiple input-output systems. For two of these, monotone convergence is proved, but they involve the solution of nonlinear matrix equations at each iteration. Another is proposed involving the solution of Lyapunov equations at each iteration, and the gradual increase of the magnitude of a penalty function. Experience with this algorithm will be needed to determine whether or not it does, indeed, possess desirable convergence properties, and whether it can be used to determine the globally optimal f*. |
| File Size | 1347503 |
| Page Count | 50 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19730009880 |
| Archival Resource Key | ark:/13960/t3cz8054w |
| Language | English |
| Publisher Date | 1972-08-01 |
| Access Restriction | Open |
| Subject Keyword | Linear Systems Algorithms Optimal Control Control Theory Feedback Control Compensators Input/output Routines Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
