5,296 research outputs found
Observer design for systems with an energy-preserving non-linearity
Observer design is considered for a class of non-linear systems whose
non-linear part is energy preserving. A strategy to construct convergent
observers for this class of non-linear system is presented. The approach has
the advantage that it is possible, via convex programming, to prove whether the
constructed observer converges, in contrast to several existing approaches to
observer design for non-linear systems. Finally, the developed methods are
applied to the Lorenz attractor and to a low order model for shear fluid flow
Efficient algorithm for solving semi-infinite programming problems and their applications to nonuniform filter bank designs
An efficient algorithm for solving semi-infinite programming problems is proposed in this paper. The index set is constructed by adding only one of the most violated points in a refined set of grid points. By applying this algorithm for solving the optimum nonuniform symmetric/antisymmetric linear phase finite-impulse-response (FIR) filter bank design problems, the time required to obtain a globally optimal solution is much reduced compared with that of the previous proposed algorith
Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control
This paper presents a branch-and-lift algorithm for solving optimal control problems with smooth nonlinear dynamics and potentially nonconvex objective and constraint functionals to guaranteed global optimality. This algorithm features a direct sequential method and builds upon a generic, spatial branch-and-bound algorithm. A new operation, called lifting, is introduced, which refines the control parameterization via a Gram-Schmidt orthogonalization process, while simultaneously eliminating control subregions that are either infeasible or that provably cannot contain any global optima. Conditions are given under which the image of the control parameterization error in the state space contracts exponentially as the parameterization order is increased, thereby making the lifting operation efficient. A computational technique based on ellipsoidal calculus is also developed that satisfies these conditions. The practical applicability of branch-and-lift is illustrated in a numerical example. © 2013 Springer Science+Business Media New York
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