On exponential observers for nonlinear systems
Systems & Control Letters
Observer design for nonlinear control systems
Systems & Control Letters
Further results on the observer design problem
Systems & Control Letters
On constructing nonlinear observers
SIAM Journal on Control and Optimization
Observability and Observers for Nonlinear Systems
SIAM Journal on Control and Optimization
Locally Convergent Nonlinear Observers
SIAM Journal on Control and Optimization
Nonlinear observer design for a general class of nonlinear systems with real parametric uncertainty
Computers & Mathematics with Applications
Hi-index | 0.09 |
This paper is a geometric study of the local observer design for a general class of discrete-time nonlinear systems with real parametric uncertainty. Explicitly, we study the observer design problem for a general class of discrete-time nonlinear systems with real parametric uncertainty and with an input generator (exosystem). In this paper, we show that for the classical case, when the state equilibrium does not change with the parametric uncertainty, and when the plant output is purely a function of the state, there is no local asymptotic observer for the plant. Next, we show that in sharp contrast to this case, for the general case of problems where we allow the state equilibrium to change with the parametric uncertainty, there typically exist local exponential observers even when the plant output is purely a function of the state. We also present a characterization and construction procedure for local exponential observers for the general class of discrete-time nonlinear systems with real parametric uncertainty under some stability assumptions. We also show that for the general class of discrete-time nonlinear systems considered, under some stability assumptions, the existence of local exponential observers in the presence of inputs implies, and is implied by the existence of local exponential observers in the absence of inputs. Finally, we generalize our results to a general class of discrete-time nonlinear systems with input generator, and with exogenous disturbance.