Aircraft flight controls design using output feedback

Stevens, Brian; Lewis, Frank L.; AL-Sunni, Fouad M.

doi:10.2514/3.20824

Cited by 26 publications

(15 citation statements)

References 14 publications

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“…Now, we need to minimize the new form of the cost function (46) subject to the constraint (44) on the matrix P. For this purpose, we define the Hamiltonian by adjoining the constraint by using a Lagrangian multiplier S=S As we consider an asymptotically stable system design, it is reasonable to assume that the closedloop system matrix c A is nonsingular [12]. Now, we need to minimize the new form of the cost function (46) subject to the constraint (44) on the matrix P .…”

Section: L R M M Lc H H H Mlc C L M H X  mentioning

confidence: 99%

“…Then, the minimization of (3) by using the modified output feedback control input (7) with (8) corresponds to the standard linear quadratic regulator with output feedback control [12,13]. The only difference is that after determining the optimal output feedback gain d K , the true output feedback gain K for the output feedback with direct feedthrough is obtained as follows:…”

Section: Andmentioning

confidence: 99%

“…This section presents the modification of the design process of the output tracking control for systems without direct feedthrough [12,13] for the purpose of applying it to systems with direct feedthrough. The structure of the tracking control law used in the aforementioned works is particularly useful for dealing with situations wherein the structure of compensator dynamics that results in good performance is known a priori, e.g., the washout filter or the feedforward controller for the control of an aircraft.…”

Section: Practical Linear-quadratic Output Trackermentioning

confidence: 99%

“…Theorem 2: For a system with direct feedthrough (1) and (2), the performance output (15), and known compensator dynamics (16) and (17), when the reference input r(t) is a step function with a constant magnitude r 0 , the cost function (20) is minimized by the feedback control input (25) with the optimal control gain As we consider an asymptotically stable system design, it is reasonable to assume that the closedloop system matrix c A is nonsingular [12]. Now, we need to minimize the new form of the cost function (46) subject to the constraint (44) on the matrix P .…”

Section: L R M M Lc H H H Mlc C L M H X  mentioning

confidence: 99%

“…These two design problems were solved through the modification of previous work on a linear system without direct feedthrough [12,13].…”

Section: Conclusion and Future Researchmentioning

confidence: 99%

See 4 more Smart Citations

Linear Quadratic Regulation and Tracking using Output Feedback with Direct Feedthrough

Kang¹,

Cha²,

Ko³

2016

International Journal of Aeronautical and Space Sciences

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This paper presents the development of linear quadratic regulation and output tracking algorithms using output feedback when both the measurement and performance output equations contain direct feedthrough terms. Although all physical systems can be modeled without direct feedthrough, there are still many situations where system models with direct feedthrough are important. For this situation, we modify previous work on the same topic for systems without direct feedthrough. It is shown that for the regulation problem, the optimal output feedback gain for a direct feedthrough case can be directly obtained, via a transformation, from the approach used for systems without direct feedthrough. However, for the tracking problem, a new set of coupled matrix equations for determining the optimal output feedback gain is derived from the necessary conditions for minimizing the cost function. The effectiveness of the developed algorithms is demonstrated using numerical examples

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Section: L R M M Lc H H H Mlc C L M H X  mentioning

confidence: 99%

Section: Andmentioning

confidence: 99%

Section: Practical Linear-quadratic Output Trackermentioning

confidence: 99%

Section: L R M M Lc H H H Mlc C L M H X  mentioning

confidence: 99%

“…These two design problems were solved through the modification of previous work on a linear system without direct feedthrough [12,13].…”

Section: Conclusion and Future Researchmentioning

confidence: 99%