Design and analysis procedures for multivariable multidimensional computer controlled systems are presented. An algorithm enabling relative stability to be assessed is derived and the stable portion of the gain space for a two-dimensional system is computed.
Anderson, B.D.O., and Jury, E. 'Stability tests for two-dimensional recursive filters, IEEE Trans Audio and Electroacoust, AU21.
2.
Bose, N.K.1979. Multidimensional Systems Theory, IEEE Press, New York.
3.
Bose, N.K.1982. Applied Multidimensional Systems Theory. Van Norstrand Reinhold, New York.
4.
De Carlo, R.A., Saeks, R., and Murray, J.1977. 'Multivariable Nyquist theory, Int J Control , 25 (5).
5.
Desoer, C., Liu, R.W., Murray, J., and Saeks, R.1980. 'Feedback system design; the fractional representation approach to analysis and synthesis' IEEE Trans Auto ControlAC25 (3).
6.
Goodman, D.1977. 'Some stability properties of two-dimensional linear shift invariant digital filters. IEEE Trans, Circuits and Systems , CAS—4.
7.
Guiver, J.P., and Bose, N.K.1982. 'Polynomial matrix factorisation over arbitrary coefficient field and related results', IEEE Trans Circuits and Systems , CAS—30 (10).
8.
Huang, T.S.1981. Two-Dimensional Digital Signal Processing (Vol 1), Springer Verlag, Berlin.
9.
Munro, N.1972. 'Design of a controller for an open-loop unstable system using the Inverse Nyquist Array.' Proc IEE, 119 (9).
10.
Patel, R.V., and Munro, N.1982. Multivariable System Theory and Design, Pergamon Press.
11.
Strintzis, M.G.1977. 'Tests of stability of multidimensional systems'. IEEE Trans on Circuits and Systems, CAS24 (8).
12.
Whalley, R., and Zeng, Z.1992. 'Two-dimensional computer control system analysis'. I Mech E ProcI, 206.
13.
Winterbone, D.E., Munro, N., and Lourtie, P.M.G.1973. 'Design of a multivariable controller for an automobile gas turbine', ASME Gas Turbine Conference, Washington.