L2 Control of LPV Systems with Saturating Actuators: Polya Approach. Delibasi, A., Kucukdemiral, I., & Cansever, G. Optimal Control Applications and Methods. Paper abstract bibtex This paper addresses the design problem of L2, gain scheduling non-linear state feedback controller for Linear Parameter Varying (LPV) systems, subjected to actuator saturations and bounded energy disturbances, by using parameter dependent type Lyapunov functions. The paper provides a systematic procedure to generate a sequence of Linear Matrix Inequality (LMI) type conditions of increasing precision for obtaining a suboptimal L2 state-feedback controller. The presented method utilizes the modified sector condition for formalization of actuator saturation and homogeneous-polynomial-parameter-dependent (HPPD) representation of LPV systems. Both simulations and experimental studies on an inverted pendulum on a cart system illustrate the benefits of the approach.
@article{ Delibasi2011,
author = {A. Delibasi and IB Kucukdemiral and G. Cansever},
title = {L2 Control of LPV Systems with Saturating Actuators: Polya Approach},
journal = {Optimal Control Applications and Methods},
abstract = {This paper addresses the design problem of L2, gain scheduling non-linear state feedback controller for Linear Parameter Varying (LPV) systems, subjected to actuator saturations and bounded energy disturbances, by using parameter dependent type Lyapunov functions. The paper provides a systematic procedure to generate a sequence of Linear Matrix Inequality (LMI) type conditions of increasing precision for obtaining a suboptimal L2 state-feedback controller. The presented method utilizes the modified sector condition for formalization of actuator saturation and homogeneous-polynomial-parameter-dependent (HPPD) representation of LPV systems. Both simulations and experimental studies on an inverted pendulum on a cart system illustrate the benefits of the approach.},
pages = {Accepted for Publication},
url = {http://onlinelibrary.wiley.com/doi/10.1002/oca.1025/abstract}
}
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