It is shown that, by incorporating fast on-line recursive identifiers to provide updated step-response matrices for inclusion in digital proportional-plus-integral control laws, highly robust adaptive digital setpoint tracking PI controllers can be readily designed for multivariable plants. The effectiveness of this methodology is illustrated by designing an adaptive digital setpoint tracking PI controller for a gas turbine using both exactly parametrised and grossly under-parametrised models.
Astrom, K.J.1974. 'Stochastic theory and some of its industrial applications' , Proc IFAC Symposium on Stochastic Control, Budapest, Hungary.
2.
Astrom, K.J. and Eykhoff, P.1971. 'System identification - a survey', Automatica , 7, 123-162.
3.
Davison, E.J.1976. 'Multivariable tuning regulators: the feedforward and robust control of a general servomechanism problem', IEEE Trans, AC-25, 361-375.
4.
Falb, P.L. and Wolovich, W.A.1967. 'Decoupling in the design and synthesis of multivariable systems', IEEE Trans, AC-12, 651-659.
5.
Jones, A.H. and Porter, B.1986. 'Design of adaptive digital set-point tracking PI controllers incorporating recursive step-response matrix identifiers for gas turbines' , Proc AIAA Guidance, Navigation, and Control Conference , Williamsburg, USA.
6.
McMorran, P.D.1970. 'Design of gas-turbine controller using inverse Nyquist method', Proc IEE, 117, 2050-2056.
7.
Pentinnen, J. and Koivo, H.M.1980. 'Multivariable tuning regulators for unknown systems' , Automatica, 16, 393-398.
8.
Porter, B.1981a. 'Design of error-actuated controllers for unknown multivariable plants', Electron Lett, 17, 106-107.
9.
Porter, B.1981b. 'Design of set-point tracking and disturbance-rejection controllers for unknown multivariable plants', Proc IEE Workshop on Theory and Applications of Self-tuning and Adaptive Control , Oxford.
10.
Porter, B.1982. 'Design of tunable set-point tracking controllers for linear multivariable plants', Int J Cont, 35, 1107-1115.
11.
Porter, B.1984. 'Robustness of linear multivariable set-point tracking systems incorporating PI controllers', Proc 3rd IASTED International Symposium on Modelling, Identification, and Control, Innsbruck, Austria.
12.
Porter, B. and Jones, A.H.1986. 'Design of tunable digital set-point tracking PI controllers using step-response matrices for gas turbines', Proc AIAA Guidance, Navigation, and Control Conference, Williamsburg, USA.
13.
Porter, B. and Power, H.M.1970. 'Controllability of multivariable systems incorporating integral feedback', Electron Lett, 6, 689-690.
14.
Power, H.M. and Porter, B.1970. 'Necessary and sufficient conditions for controllability of multivariable systems incorporating integral feedback', Electron Lett, 6, 815-816.