1999
DOI: 10.1109/20.800799
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LQG/LTR frequency loop shaping to improve TMR budget

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Cited by 13 publications
(10 citation statements)
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“…Assume the disturbances and noise signals are zero, and the initial conditions , the required seek length , the controller parameters , , , as well as and are properly selected or designed such that , , the proposed UCS control law (11) will drive the system output to track the reference track asymptotically if both and are asymptotically stable matrices and (16) where (17) with minimal realization (18) and , , and are, respectively, composed of the first columns of , , and , and . The following lemma is used to prove Theorem 1.…”
Section: B Stability Issuesmentioning
confidence: 99%
See 1 more Smart Citation
“…Assume the disturbances and noise signals are zero, and the initial conditions , the required seek length , the controller parameters , , , as well as and are properly selected or designed such that , , the proposed UCS control law (11) will drive the system output to track the reference track asymptotically if both and are asymptotically stable matrices and (16) where (17) with minimal realization (18) and , , and are, respectively, composed of the first columns of , , and , and . The following lemma is used to prove Theorem 1.…”
Section: B Stability Issuesmentioning
confidence: 99%
“…Thus, designers should design in a way such that, the effect of disturbance and measurement noise is effectively attenuated to achieve high precision positioning performance. Any controller design methods based on the state-space approaches, such as LQG/LTR [18] or the robust and the perfect tracking design technique [3] are applicable. Note that when , the transfer function from to is given by…”
Section: Remark 2: the Conventional Cnf Control [6] Uses The Nonlineamentioning
confidence: 99%
“…On the contrary, feedback controllers can provide robustness in the presence of variations of the resonant modes. Optimal robust controller design methods such as LQG/LTR control Chang and Ho (1999) and H 2 optimal controller Li et al (2004) can be used to suppress mechanical resonance. However, the order of controllers using LQG/LTR or H 2 /H ∞ method depends on the order of the systems.…”
Section: Introductionmentioning
confidence: 99%
“…In contrast to the open loop approach, the feedback controller to dampen the resonant modes provides robustness in the presence of variations of the resonant modes. Optimal robust controller design methods such as LQG/ LTR control [6], optimal control [7] and optimal control [8,9] can be employed to design to suppress the mechanical resonance of structures. The order of controllers using LQG/LTR or methods depends on the order of the systems.…”
Section: Introductionmentioning
confidence: 99%