The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and… (More)
In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to determine algebraically these invariants is proposed. The main novelty of our approach is that we require no dwell time conditions on the switching laws. By not focusing on… (More)
values of P (i!1) are 11 = 0:6811 and 12 = 0:0628, and the singular values of P (i! 2) are 21 = 0:3063 and 22 = 0:0450. The bounds for the modal cost functions J k are given by Theorem 8 8:1 min K 2S The same bounds hold for J 01 and J 02. To simulate the system, the plant was approximated using a semidiscrete finite element method with 10 subintervals of… (More)
This note is devoted to flatness for switched linear discrete-time systems. For this class of hybrid systems, algebraic conditions are derived to check whether a given output is flat. Then, a feedforward flatness-based control strategy for trajectory tracking is proposed.
In this paper we consider output-based stabilization of discrete-time LPV systems in the situation where the parameters are not exactly known, but only available with a finite accuracy. The controllers are obtained using a separate design of an observer and a state feedback and the interconnection is proven to stabilize the LPV system despite the mismatch… (More)