Dominant pole placement for multi-loop control systems

Yu Zhang

doi:10.1016/S0005-1098(02)00009-2

2002-07-01

PRE

Yu Zhang

Qing‐Guo Wang

Karl Johan Åström

DOI：10.1016/S0005-1098(02)00009-2

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This paper proposes a method for multi-loop PI controller design which can achieve dominant pole placement for two input two output processes. It is an extension of the original dominant pole design (PID Controllers: Theory, Design, and Tuning, Instrument Society of America, Research Triangle park, NC, 1995.) for SISO systems. Unlike its SISO counterpart, where the controller parameters can be obtained analytically, the multi-loop version amounts to solving some coupled nonlinear equation with complex coefficients, for which closed-form formulae are not possible. A novel approach is developed to solve the equation using a root trajectory method, in which the solution to our pole placement problem is found from intersection points between the root trajectories and the positive real axis. The design procedure is given and simulation examples are provided to show the effectiveness of the proposed method and comparisons are made with the BLT method. (C) 2002 Elsevier Science Ltd. All rights reserved.

Keyword:

process control

multi-loop controllers

pole placement

dominant poles

PI control