Minimization of the Peak-to-Peak Gain in Periodic Systems Under Full State Feedback1-Reference-Cited by-同舟云学术

Minimization of the Peak-to-Peak Gain in Periodic Systems Under Full State Feedback1

Published:1985-11-08 Issue:1 Volume:123 Page:10-20
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Aubrecht Johannes¹,Voulgaris Petros G.²

Affiliation:

1. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

2. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801

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).

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/123/1/10/5779730/10_1.pdf

Reference15 articles.

1. Diaz-Bobillo, I. J., and Dahleh, M. A., 1993, “Minimization of the maximum peak-to-peak gain: The general multiblock problem,” IEEE Trans. Autom. Control, AC-38, No. 10, pp. 1459–1482.

2. Dahleh, M. A., Voulgaris, P. G., and Valavani, L. S., 1992, “Optimal and robust controllers for periodic and multirate systems,” IEEE Trans. Autom. Control, AC-37, No. 1, pp. 90–99.

3. Diaz-Bobillo, I. J., and Dahleh, M. A., 1992, “State feedback l1-optimal controllers can be dynamic,” Systems & Control Letters, 19, No. 2.

4. Shamma, J. S. , 1993, “Nonlinear state feedback for l1 optimal control,” Syst. Control Lett., 21, pp. 265–270.

5. Shamma, J. S., “Optimization of the l∞-induced norm under full state feedback,” To appear, IEEE Transactions on Automatic Control, a summary in Proceedings of the 33rd IEEE Conference on Decision and Control, Dec. 1994.

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