New orthogonal series approach to state-space analysis of 1-D and 2-D discrete systems

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New orthogonal series approach to state-space analysis of 1-D and 2-D discrete systems

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An orthogonal series approach is presented for state-space analysis of 1-D and 2-D linear time-invariant discrete systems. This approach makes use of the backward shift operation matrix derived in the paper, and yields explicit expressions for the state and output orthogonal coefficient matrixes. These expressions involve only multiplication of small dimension matrixes thus simplifying the computational effort as compared to known orthogonal function techniques, where the inversion of large matrixes is required.

Inspec keywords: series (mathematics); multidimensional systems; state-space methods; discrete systems; linear systems; computational complexity; control system analysis; matrix algebra

Other keywords: orthogonal series; 2D systems; discrete systems; 1D systems; backward shift operation matrix; state-space analysis; linear time-invariant systems; output orthogonal coefficient matrixes; control system analysis

Subjects: Discrete control systems; Distributed parameter control systems; Algebra; Control system analysis and synthesis methods

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