The paper considers the minimization of the -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).
Minimization of the Peak-to-Peak Gain in Periodic Systems Under Full State Feedback1
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division November 8, 1985. Associate Editor: M. Dahleh.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Aubrecht, J., and Voulgaris, P. G. (November 8, 1985). "Minimization of the Peak-to-Peak Gain in Periodic Systems Under Full State Feedback." ASME. J. Dyn. Sys., Meas., Control. March 2001; 123(1): 10–20. https://doi.org/10.1115/1.1341199
Download citation file:
- Ris (Zotero)
- Reference Manager