L2 Control of LPV Systems with Saturating Actuators: Polya Approach. Delibasi, A.; Kucukdemiral, I.; and Cansever, G. Optimal Control Applications and Methods.
L2 Control of LPV Systems with Saturating Actuators: Polya Approach [link]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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