Titlebook: Stabilization of Nonlinear Systems Using Receding-horizon Control Schemes; A Parametrized Appro Mazen Alamir Book 2006 Springer-Verlag Lond

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Stabilizing Schemes with Final Equality Constraint on the Stateeed, the stability of the resulting closed-loop system has to be carefully investigated. Furthermore, the simple example of a scalar linear system suggests that such investigation is by no mean an easy task.

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Stabilizing Formulations with Free Prediction Horizon and No Final Constraint on the State. The latter may be preferable to the formulation of Chapter 3 when no explicit way is clearly available to take into account the final constraint on the state with a low dimensional decision variable.

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General Stabilizing Formulations for Trivial Parametrizationlassical literature on the subject however, only the trivial piece-wise constant parametrization is studied. Recall that for systems with scalar control input . ∈ ?, this parametrization amounts to use the following parametrization map (see Chapter 1 for the notations): . More generally, for m dimen

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Limit Cycles Stabilizing Receding-Horizon Formulation for a Class of Hybrid Nonlinear Systemse case of point-wise stabilization can be obtained as a particular case where the limit cycle collapses into a single point. The hybrid character of the class of nonlinear systems considered here comes from the fact that the state of the system may jump when the system trajectory hits some switching

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Stabilization of a Rigid Satellite in Failure Modeas been and still a very challenging problem for the nonlinear control community. This is mainly due to the high degree of nonlinearity in the system model. This is also due to the lake of control inputs (2 controls must be used to control 6 state variables). Classical analytical nonlinear control d

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Receding-Horizon Solution to the Minimum-Interception-Time Problem part of this book can be directly applied. Indeed, the problem in this chapter is a . problem where a missile has to hit some target in a minimum time. A schematic view of the problem is depicted on Figure 11.1. A missile having at some instant . the position .(.) = (.(.), . (.)) aims to intercept

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Constrained Stabilization of a PVTOL Aircrafts problem has been extensively studied since the earlier works [37, 60, 82]. Since, many works have been dedicated to solve this problem [31, 52, 59, 72, 53]. Here again, our aim is not to make an exhaustive comparison with existing solutions but simply to show how receding-horizon formulation can b