Nonlinear Unknown Input Observer Using Mean Value Theorem and Simulated Annealing Algorithm

This note deal the nonlinear unknown inputs observer design. The principal idea consists to use the estimation error and mean value theorem parameters $\beta_{i}$ into observer structure. an optimization problem is considered for parameter determination $\beta_{i}$ using simulated annealing algorithm. The stability study relies on use of quadratic Lyapunov function. Two numerical examples are provided to validation of the proposed theory development.