Non‐sequential MIMO QFT control of the X‐29 aircraft using a generalized formulation

This paper presents a generalized formulation for multi-input multi-output (MIMO) quantitative feedback theory (QFT) based controller design and analysis, and its application to the control of the X-29 aircraft. The formulation is based on a more general control structure, where input and output transfer function matrices are included to provide additional degrees of freedom in the decentralized MIMO QFT feedback structure, that facilitates the exploitation of directions in MIMO QFT designs. The formulation captures existing design approaches for fully populated MIMO QFT controller design and provides for a directional design logic involving the plant and controller alignment and the directional properties of their multivariable poles and zeros. Horowitz's Singular-G design methodology is placed in the context of the generalized formulation and the Singular-G design for the X-29 is analysed and redesigned using non-sequential MIMO QFT and the formulation, demonstrating its utility. The results highlight a fundamental trade-off between multivariable controller directions for stability and performance in classically formulated design methodologies, elucidate the properties of Singular-G designed controllers for the X-29 and validate recent contributions to the theory for non-sequential MIMO QFT. Copyright © 2006 John Wiley & Sons, Ltd.

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