The extended Luenberger observer for nonlinear systems
Systems & Control Letters
On exponential observers for nonlinear systems
Systems & Control Letters
Nonlinear observer design by observer error linearization
SIAM Journal on Control and Optimization
Observer design for nonlinear control systems
Systems & Control Letters
Further results on the observer design problem
Systems & Control Letters
Nonlinear observer design via an extended observer canonical form
Systems & Control Letters
On constructing nonlinear observers
SIAM Journal on Control and Optimization
Observer design for autonomous discrete-time nonlinear systems
Systems & Control Letters
Observers for discrete-time nonlinear systems
Systems & Control Letters
Automatica (Journal of IFAC)
Nonlinear observer design using Lyapunov's auxiliary theorem
Systems & Control Letters
Nonlinear Observer Design in the Siegel Domain
SIAM Journal on Control and Optimization
The extended Kalman filter as an exponential observer for nonlinearsystems
IEEE Transactions on Signal Processing
Brief Paper: An EKF-Based Nonlinear Observer with a Prescribed Degree of Stability
Automatica (Journal of IFAC)
Linear time-derivative trackers
Automatica (Journal of IFAC)
Brief paper: Adaptive observers for time-delay nonlinear systems in triangular form
Automatica (Journal of IFAC)
Adaptive observer design for a class of nonlinear time-delay systems in lower-triangular form
ACC'09 Proceedings of the 2009 conference on American Control Conference
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The main weakness of all control methodologies is the dependency of feedbacks to full state measurements. In practical situations, measuring the states of a given system may fail because sometimes the measurements are impossible and sometimes, possible, but too expensive. Observer design for highly nonlinear dynamics is an important issue, particularly when the locally observable dynamics are not linearly observable. In such circumstances the ability to reduce the system to observable or observer form is key to observer design. This paper provides two observers for nonlinear systems given in Brunovski form. The first observer is a high-gain observer with a classical output injection form, while the second is a high-gain observer with a q-integral path. Finally, the discrete-time implementation of the high-gain observer is discussed in linear matrix inequality framework. A motivating example is shown to highlight the efficacy of the developed observers.