Decentralized blocking zeros and the decentralized strong stabilization problem
IEEE Transactions on Automatic Control
1905 - 1918
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This paper is concerned with a new system theoretic concept, decentralized blocking zeros, and its applications in the design of decentralized controllers for linear time-invariant finite-dimensional systems. The concept of decentralized blocking zeros is a generalization of its centralized counterpart to multichannel systems under decentralized control. Decentralized blocking zeros are defined as the common blocking zeros of the main diagonal transfer matrices and various complementary transfer matrices of a given plant. As an application of this concept, we consider the decentralized strong stabilization problem (DSSP) where the objective is to stabilize a plant using a stable decentralized controller. It is shown that a parity interlacing property should be satisfied among the real unstable poles and real unstable decentralized blocking zeros of the plant for the DSSP to be solvable. That parity interlacing property is also sufficient for the solution of the DSSP for a large class of plants satisfying a certain connectivity condition. The DSSP is exploited in the solution of a special decentralized simultaneous stabilization problem, called the decentralized concurrent stabilization problem (DCSP). Various applications of the DCSP in the design of controllers for large-scale systems are also discussed.
Control system analysis
Control system synthesis
Large scale systems
Poles and zeros
Decentralized blocking zeros
Decentralized strong stabilization problem (DSSP)
Linear time invariant finite dimensional systems
Main diagonal transfer matrices
Parity interlacing property
Published Version (Please cite this version)http://dx.doi.org/10.1109/9.471211
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