Abstract
The paper considers the minimization of the l∞-induced norm of the closed loop in linear periodically time varying (LPTV) systems when state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. It is shown that a memoryless periodically varying nonlinear controller can be constructed to achieve near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the periodic case earlier work on linear time-invariant systems (LTI).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 165-170 |
| Number of pages | 6 |
| Journal | American Society of Mechanical Engineers, Design Engineering Division (Publication) DE |
| Volume | 91 |
| State | Published - 1996 |
Keywords
- Linear programming
- Periodic
- Viability
- l-optimal
ASJC Scopus subject areas
- Control and Systems Engineering
- General Engineering