10 research outputs found

    On diagonalization by dynamic output feedback

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    A simplified dynamic model of the Space Shuttle main engine

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    A simplified model is presented of the space shuttle main engine (SSME) dynamics valid within the range of operation of the engine. This model is obtained by linking the linearized point models obtained at 25 different operating points of SSME. The simplified model was developed for use with a model-based diagnostic scheme for failure detection and diagnostics studies, as well as control design purposes

    Alpha-canonical form representation of the open loop dynamics of the Space Shuttle main engine

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    A parameter and structure estimation technique for multivariable systems is used to obtain a state space representation of open loop dynamics of the space shuttle main engine in alpha-canonical form. The parameterization being used is both minimal and unique. The simplified linear model may be used for fault detection studies and control system design and development

    On diagonalization by dynamic output feedback

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    The purpose of this paper is to draw attention to a casuality degree dominance property in diagonalization problems by dynamic output feedback and constant precompensator. Even in the well-investigated special case of square transfer matrices, the property of degree-dominance yields new insight into the structure of diagonalizable transfer matrices

    Well posedness conditions for Bimodal Piecewise Affine Systems

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    This paper considers well-posedness (the existence and uniqueness of the solutions) of Bimodal Piecewise Affine Systems in ℝn. It is assumed that both modes are observable, but only one of the modes is in observable canonical form. This allows the vector field to be discontinuous when the trajectories change mode. Necessary and sufficient conditions for well-posedness are given as a set of algebraic conditions and sign inequalities. It is shown that these conditions induce a joint structure for the system matrices of the two modes. This structure can be used for the classification of well-posed bimodal piecewise affine systems. Furthermore, it is also shown that, under certain conditions, well-posed Bimodal Piecewise Affine Systems in ℝn may have one or two equilibrium points or no equilibrium points

    On the Morgan problem with stability

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