Oscillating system design applying universal formula for control

Denis Efimov (1) , Wilfrid Perruquetti (1, 2, 3)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Centrale Lille

The problem of oscillating system design applying the homogeneity approach is studied. The Anti-control Lyapunov Function (ALF) is introduced as a counterpart of Control Lyapunov Function (CLF) for the control design that destabilizes a nonlinear system. A universal anti-control formula is proposed. Next, the universal control formulas based on ALF and CLF are used to design an oscillating system. Efficiency of the proposed approach is demonstrated on example.

Domaines: Automatique / Robotique

Denis Efimov, Wilfrid Perruquetti. Oscillating system design applying universal formula for control. CDC-ECC - 50th IEEE Conference on Decision and Control and European Control Conference , Dec 2011, Orlando, FL, United States. pp.1-6, ⟨10.1109/CDC.2011.6160775⟩. ⟨hal-00628885⟩