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Output Feedback Control of Saturated Linear Systems Using Parameter-Dependent Lyapunov Functions

[+] Author Affiliations
Qian Zheng, Fen Wu

North Carolina State University

Paper No. IMECE2005-81152, pp. 49-58; 10 pages
doi:10.1115/IMECE2005-81152
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control, Parts A and B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-4216-9 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

In this paper, we present an output feedback control approach for discrete-time linear systems subject to actuator saturations using parameter-dependent Lyapunov functions. The saturation level indicator serves as a scheduling parameter. The resulting nonlinear controller is expressed in a quasi-LPV form and the controller synthesis problem is formulated and solved as an optimization problem with LMI constraints. Our approach is less conservative than a single quadratic Lyapunov function method. The proposed output feedback control law asymptotically stabilizes the open loop system with a larger domain of attraction and achieves better performance under energy and magnitude bounded disturbances.

Copyright © 2005 by ASME

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