A quantitative feedback solution to the multivariable tracking error problem

作者：Elso Jorge^*; Gil Martinez Montserrat; Garcia Sanz Mario

来源：International Journal of Robust and Nonlinear Control, 2014, 24(16): 2331-2346.

DOI：10.1002/rnc.2991

• MIMO QFT
• robust control
• tracking error specifications
• model matching

This paper introduces a novel solution for the multi-input multi-output (MIMO) quantitative feedback theory control design problem with tracking error specifications. Looking for a minimum controller overdesign, the technique finds new controller quantitative feedback theory bounds based on necessary and sufficient conditions for the existence of suitable associated prefilter matrix elements. It improves previous approaches to the subject and includes (i) the possibility of a free selection of the nominal plant, (ii) a less conservative application of the Schwartz inequality to decisively reduce the potential controller overdesign, (iii) a methodology to design independently the elements of the prefilter matrix, and (iv) a scope of application to both sequential and nonsequential MIMO controller design methods. The benefits of the new control design technique are illustrated by means of two examples. The first one, a standard 2x2 MIMO problem, is provided for comparison purposes with previous approaches. The second example, included as a major control challenge, deals with a well-known demanding distillation column benchmark problem.

• 出版日期2014-11-10