Numerical and theoretical investigations into a continuation approach to decentralized control
This thesis investigates theoretical and numerical aspects of a continuation approach to decentralized eigenvalue assignment for interconnected linear systems. In particular, a continuation method is developed to construct decentralized output feedback to assign a desired set of natural frequencies to a system. This method is a homotopy technique which imbeds the decentralized control problem into a parameterized family of decentralized control problems. The parameterization is based on the system interconnections and represents a measure of the coupling between subsystems. A differential equation is constructed based on this parameterization. The initial condition of this differential equation is the feedback required to assign eigenvalues to the decoupled system, and the endpoint of the equation's solution trajectory is the decentralized output feedback required for eigenvalue in the original problem.
- Research Organization:
- Purdue Univ., Lafayette, IN (USA)
- DOE Contract Number:
- AC01-79ET29365
- OSTI ID:
- 5458660
- Report Number(s):
- DOE/ET/29365-2; ON: DE84005504
- Country of Publication:
- United States
- Language:
- English
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