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The quadratic control problem for discrete-time singular Markov jump systems with parameter uncertainties is discussed. The weighting matrix in quadratic cost function is indefinite. For full and partial knowledge of transition probabilities cases, state feedback controllers are designed based on linear matrix inequalities (LMIs) methods which guarantee that the closed-loop discrete-time singular...
In this article, a robust linear controller design in time domain is presented for linear fractional-order systems with nonlinear model uncertainties. The Gronwall-Bellman lemma is employed to investigate the robust stability conditions which are based on the upper norm-bounds of the uncertainties. The parameters of a dynamic controller are selected to satisfy the requirements of robust stability...
A semi-globally input-to-state stable (ISS) control law is derived for flexible spacecraft attitude maneuvers in the presence of parameter uncertainties and external disturbances. The modified Rodrigues parameters (MRP) are used as the kinematic variables since they are nonsingular for all possible rotations. This novel simple control is a proportional-plus-derivative (PD) type controller plus a sign...
In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy Hinfin controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically...
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