State feedback for uncertain dynamical systems |
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| Institution: | 1. Department of Information Management, National University of Kaohsiung, Kaohsiung, Taiwan, ROC;2. Department of Management Information Systems, National Chiayi University, Chiayi, Taiwan, ROC;3. Department of Management, Entrepreneurship, and Technology, Lee Business School, University of Nevada, Las Vegas, USA;1. University of Tennessee at Chattanooga, Gary W. Rollins College of Business, Department of Finance & Economics, 615 McCallie Avenue, Chattanooga, TN 37403-2598, United States;2. University of Texas Rio Grande Valley, Robert C. Vackar College of Business & Entrepreneurship, Department of Economics & Finance, Edinburg, TX 78539, United States |
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| Abstract: | We consider a linear dynamical system in which the system and input matrices, as well as the input, are uncertain. We present a control system consisting of a linear control to stabilize the nominal system, a nonlinear control to cope with the uncertainties, and an insensitive observer for the state estimation. Practical stability is guaranteed for uncertainties with known bounds. Furthermore, the control system is designed to achieve insensitivity against parameter variations. The theoretical results are illustrated by an application to the suspension control of a maglev vehicle. |
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