Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses a state-estimation problem for nonlinear systems with non-Gaussian noise and interval constraints on the state vector.  propose new efficient algorithms, which are based on Unscented Kalman filter(UKF) and Ensemble Kalman filter(EnKF).  use Truncated UKF(TUKF) in Gaussian sum filter(GSF) framework, which is named Constrained Unscented GSF(CUGSF). And  proposed an Efficient constrained EnKF(E-CEnKF), which does not require to solve complicate optimization problem like the conventional method. Validity of the proposed methods are illustrated in numerical examples.
['Shinji Ishihara', 'Masaki Yamakita']
I am writing a research paper on a idea Constrained state estimation for nonlinear systems with non-Gaussian noise
[{"from": "human", "value": "I am writing a research paper on a idea Constrained state estimation for nonlinear systems with non-Gaussian noise"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses a state-estimation problem for nonlinear systems with non-Gaussian noise and interval constraints on the state vector.  propose new efficient algorithms, which are based on Unscented Kalman filter(UKF) and Ensemble Kalman filter(EnKF).  use Truncated UKF(TUKF) in Gaussian sum filter(GSF) framework, which is named Constrained Unscented GSF(CUGSF). And  proposed an Efficient constrained EnKF(E-CEnKF), which does not require to solve complicate optimization problem like the conventional method. Validity of the proposed methods are illustrated in numerical examples."}]