high-precision three-axis attitude control scheme is vitally important to deal with the overactuated spacecraft, as long as the overall performance through rapid response can be in general acquired. due to the fact that the rigid-flexible spacecraft is somehow applicable, in so many academic and real environments, there is a consensus among experts of this field that the new insights in develop...

The computation of Lagrangian invariant subspaces of a Hamiltonian matrix, or the closely related task of solving algebraic Riccati equations, is an important issue in linear optimal control, stochastic control and H∞-design. We propose a new class of Riemannian Newton methods that allows to compute isolated Lagrangian invariant subspaces of a Hamiltonian matrix. The algorithm implements a vari...

We establish a Pontryagin maximum principle for discrete time optimal control problems under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, and c) constraints on the frequency spectrum of the optimal control trajectories. While the first two types of constraints are already included in the existi...

This paper proposes an efficient computational technique for the optimal control of linear discrete-time systems subject to bounded disturbances with mixed polytopic constraints on the states and inputs. The problem of computing an optimal state feedback control policy, given the current state, is non-convex. A recent breakthrough has been the application of robust optimization techniques to re...

This paper presents a detailed perspective of two constructive feedback strategies characterized by algebraic Riccati equations for solving continuous-time nonlinear deterministic optimal control problems. In each case, the system is first transformed into a linear-like, state-dependent structure. The first method is based on treating the adapted model as an instantaneously linear time-invarian...