Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers

Emmanuel Chambon (1) , Pierre Apkarian (1) , Laurent Burlion (1)

1 ONERA - The French Aerospace Lab [Toulouse]

The paper deals with the design of cooperative systems which formulates as computing a state coordinate transform such that the resulting dynamics are both stable and cooperative. The design of cooperative systems is a key problem to determine interval observers. Solutions are provided in the literature to transform any system into a cooperative system. A novel approach is proposed which reformulates into a stabilization problem. A solution is found using non-smooth optimization techniques.

Domaines: Automatique / Robotique

Emmanuel Chambon, Pierre Apkarian, Laurent Burlion. Metzler Matrix Transform Determination using a Nonsmooth Optimization Technique with an Application to Interval Observers . SIAM Conference on Control and its Applications, Jul 2015, Paris, France. ⟨hal-01147107⟩