Computational Methods in Engineering

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Control of a class of uncertain nonlinear systems, which estimates unavailable state variables, is considered. A new approach for robust tracking control problem of satellite for large rotational maneuvers is presented in this paper. The features of this approach include a strong algorithm to estimate attitude, based on discrete extended Kalman filter combined with a continuous extended Kalman filter and attitude nonlinear model, and a robust controller based on sliding-mode with perturbation estimation. Estimation accuracy in this method is five times higher than other recent approaches based on Kalman filter. We have used sliding-mode controller in this paper. Not only the controller and the corresponding observer but also their composition must be robust. To make this controller robust against the uncertainty of parameters, the robust Kalman filter is used. Based on interval algebra, an upper bound and a lower bound are estimated for state variables of the system and considering these bounds in indicating the sliding conditions, stability of the controller in combination with the observer will be satisfied simultaneously. The simulation results show the capability of this method in spite of different uncertainty levels (up to %50).

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In this paper, a robust control law is proposed, based on Lyapunov’s theory and sliding mode control theory, in
order to track the angle of attack in nonlinear longitudinal dynamics of a missile. It is assumed that there are unmatched
uncertainties in the nonlinear systems. In the proposed algorithm, the controller gains are optimized by Particle Swarm
Optimization (PSO) algorithm. For this purpose, a cost function is extracted from the output tracking error. Simulation results
show that the proposed algorithm has better performance than conventional Proportional-Integral-Derivative (PID) controller in
the presence of unmatched uncertainties.