In order to estimate states and fault parameters simultaneously, an adaptive observer is designed which guarantees that the estimation errors of states and fault parameters are uniformly ultimately bounded.
He said that the statute under which officials for decades have been able to collect their pensions despite corruption convictions was an "error of state law," and he noted that while it had been partially fixed several years ago, it "must succumb to common sense".
The constructed observer could guarantee the error of state and the error of parameter estimation to asymptotically converge to zero.
Some sufficient conditions for the existence of the proposed observer are obtained, which guarantee that the error of state estimation converges asymptotically to zero.
It is shown that for a class of stationary stochastic nonlinear systems (satisfying a global Lipschitz condition) the high-gain observer with a constant gain matrix may guarantee an upper bound for the averaged quadratic error of state estimation.
Furthermore, the same methodology was extended to a class of multi-output nonlinear systems and some sufficient conditions for the existence of the proposed observer were obtained, which guaranteed that the error of state estimation converged asymptotically to zero.
Figure 1 shows the numerical solution and numerical error of the control when mesh size (h=1/64), while the numerical solutions and errors of the state and flux state are presented in Figures 2-4, respectively.
additive noise and compared to the output mean square error of state-of-the-art filters.
The state dependent model predictive control is derived by minimizing the control error of states and control roughness of control input for a safe, smooth and fuel efficient approaching trajectory.
