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Abstract
The most commonly employed feedback algorithms for the control of industrial plants are those of the P, PI and PID regulators. In this paper, the procedure for decentralized (local) P, PI and PID regulators for multivariable plants optimal with respect to the overall system performance is developed. It is assumed that the type of each regulator is defined a priori and, in the case of PI and PID control laws, the state space of the corresponding subsystem is extended to include the dynamics of the local feedback regulator. The implementation of the procedure is based on optimal structurally constrained state feedback design with respect to the extended quadratic performance criterion.
Notes
† This work was carried out while the author was a visiting professor at the Department of Electrical and Computer Engineering at the University of California, Davis, California 95616, U.S.A.