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 representation of LPV systems. Both simulations and experimental studies on an inverted pendulum on a cart system illustrate the benefits of the approach.
- homogeneous polynomial parameter-dependent Lyapunov functions, input to state stability, LMIs, actuator saturation, inverted pendulum, real-time control
- real time control
- inverted pendulum
- actuator saturation
- input to state stability
Delibasi, A., Kucukdemiral, I. B., & Cansever, G. (2013). L2 control of LPV systems with saturating actuators: Pólya¿approach. Optimal Control Applications and Methods, 34(1), 17-34. https://doi.org/10.1002/oca.1025