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)|
|Number of pages||6|
|Journal||American Society of Mechanical Engineers, Design Engineering Division (Publication) DE|
|State||Published - 1996|
- Linear programming
ASJC Scopus subject areas
- Control and Systems Engineering