A time domain approach to robust control of continuous time and delta operator systems.
Item
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Title
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A time domain approach to robust control of continuous time and delta operator systems.
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Identifier
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AAI9325135
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identifier
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9325135
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Creator
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Piou, Jean Eugene.
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Contributor
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Adviser: Kenneth M. Sobel
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Date
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1993
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Language
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English
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Publisher
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City University of New York.
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Subject
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Engineering, Electronics and Electrical
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Abstract
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Eigenstructure assignment is a method which allows the incorporation of classical specifications on damping, settling time, and mode decoupling into a modern multivariable control framework. However, this design approach does not guarantee stability when the plant is subject to structured state space uncertainty. In systems such as missiles and aircraft, this uncertainty may arise from errors in the identification method which is used to obtain the linearized models of the plant.;A new robust stability condition based on bounds of the integral norm of the state and output is derived. This new sufficient condition is valid for linear time invariant continuous time systems which are subject to linear time varying structured state space uncertainty and unmodelled dynamics.;In collaboration with a colleague, a new sufficient condition for robust stability of a linear time invariant continuous time system which is subject to time varying structured state space uncertainty is obtained. This new result uses the so-called modal decomposition method. A new robust eigenstructure assignment design method is developed in which the desired closed loop eigenvalues are constrained to lie within chosen regions.;Eigenstructure assignment is extended to linear time invariant sampled data systems which are represented by the so-called unified delta model. The unified delta model is valid for both continuous time and sampled data operation of the plant. Sufficient conditions for robust stability based on modal decomposition and Lyapunov methods are extended to the delta model. Robust sampled data controllers are designed for the Extended Medium Range Air to Air Technology missile and the Flight Propulsion Control Coupling aircraft.;The robust stability conditions are extended to obtain performance robustness conditions. The closed loop eigenvalues of the unified delta system are guaranteed to lie within chosen damping-settling time regions for all specified time invariant structured state space uncertainty. Finally, the robust stability conditions are extended to multiple input rate fixed output rate sampled data systems.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
