Multi-Performance State-Feedback for Time-Varying Linear Systems

About an Alternative S-Variable Condition for State-Feedback Design

“…As proved in [6] the pole location problem has, for some special choices of R p , extensions for continuous linear time-varying systems. The matrix inequality conditions can provide information on minimal and maximal decay rate, on the damping ratio and on the natural frequencies of the time responses.…”

“…In case bounds on the time derivatives of the uncertain parameters are known the results can be readily extended to parameter-dependent certificates Q p (θ(t)) at the expense of introducing derivatives of the certificates in the formulas. See [6] for details.…”

Some comments on experimental results of three lift controllers for a wind turbine blade section using an active flow control

“…In this paper, we used control design results from (Conord and Peaucelle (2021)) that are implemented in the R-Romuloc toolbox (Peaucelle et al (2014)). These results allow the design of state-feedback controllers.…”

“…The difficulty in implementing this control lies in the very uncertain modeling of the lift, which naturally leads to the consideration of "model-free" type control laws. In this work, three control laws are investigated: a robust PID controller (Conord and Peaucelle (2021)), a model-free control Join (2013, 2021)), an adaptive control law based on the super-twisting algorithm (Shtessel et al (2023)). The robust PID controller has been implemented considering a rough modeling of the lift response under particular parametric operating conditions of the test-bed.…”