Piecewise-Affine Jump State Estimator Design Within Reachable Target Regions Under Noisy Measurements

The paper concerns state estimation of discretetime jump systems using piecewise-affine (PWA) modeling. Since certain regions are unreachable in one time step, we present an algorithm to identify reachable regions at the next time step for both the actual state and its estimation under noisy measurements. The stability and noise attenuation of an estimation error system are analyzed by excluding unreachable regions via a mode-dependent piecewise Lyapunov function. A mode-dependent PWA estimator is then designed to ensure stability and fulfill the noise attenuation requirement with lower computational cost. In comparison, the approach based on reachable target regions reduces both computational complexity and conservativeness [1]. The proposed state estimation approach is validated to be advantageous through its application to a tunnel diode circuit.