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In this paper, we propose and solve the problem of feedback linearization of single-input control affine time-varying nonlinear systems. Feedback linearizability of time-varying is shown to be equivalent to the orbital feedback linearizability (or feedback linearization by state-dependent time scaling) of an extended version of the time-varying system. Necessary and sufficient conditions for feedback...
In this note, a procedure to apply the interconnection and damping assignment passivity-based control (IDAPBC) methodology with a possibly state-dependent interconnection and damping structure is presented. The imposed structure of closed-loop (port)-controlled Hamiltonian form is motivated by the definition of an equilibrium manifold. We apply our result to passivity-based control of a heat exchanger.
This paper is concerned with a path-finding method proposed by H. J. Sussmann, known as the homotopy continuation method (HCM). Given a control system initialized at some state, the HCM can be used to find an admissible open-loop control that performs a desired state transfer. This is accomplished by lifting curves in the state space of the system to curves in the space of regular admissible controls...
The reduction of Poisson structures on the state space of controlled Hamiltonian system is studied. The existence of completely integrable feedback-invariant distributions gives rise to a collection of reduced Poisson structures on the quotient by maximal integrable submanifolds. In special cases we can define a Poisson subsystem, which is feedback invariant. The result is an initial step towards...
The description of a nonlinear control system as an exterior differential system suggests an interesting connection between locally accessible control systems and the existence of a natural geometry associated to the control system. The classification of single-input locally accessible control systems leads to a canonical construction of a (pseudo-) Riemannian metric on the state space. Conditions...
In this paper, we propose a POD-based technique that is suitable for the design of reliable observers for the estimation of velocity field and contaminant flow for Navier-Stokes flow. POD modes are constructed using the method snapshot. Karhunen-Loeve (Galerkin) projection to develop a reduced-order model obtained by projecting the velocity field onto the most important POD modes. The resulting finite-dimensional...
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