Jason Frank, Sergiy Zhuk
Nonlinearity
In this note we construct minimax observers for linear stationary Differential-Algebraic Equations (DAE)s with bounded uncertain inputs, given noisy measurements. We prove a new duality principle and show that a finite (infinite) horizon minimax observer exists if and only if the DAE is ℓ-impulse observable (ℓ-detectable). Remarkably, the regularity of the DAE is not required.
Jason Frank, Sergiy Zhuk
Nonlinearity
Sergiy Zhuk, Tigran Tchrakian
CDC 2015
Markus Tranninger, Sergiy Zhuk, et al.
CDC 2018
Sergiy Zhuk, Orest V. Iftime, et al.
Systems and Control Letters