Improved closed‐loop stability for fixed‐point controller realizations using the delta operator

SUMMARYThe insensitive multi-objective H 1 control synthesis problem via dynamic output feedback for linear delta operator systems with insensitivity to sampling time jitter is investigated in the case of small sampling times. The delta-domain model instead of the standard shift-domain model is used to avoid the inherent numerical ill-condition resulting from using the latter model at high sampling rates. Parameter sensitivity function of the transfer function with respect to sampling time is defined to mitigate the effect of sampling time jitter because it may cause significant degradation of the overall system performance. It is worth pointing out that a novel bounded real lemma for delta operator allowing extra degree of freedom for multi-objective control design is presented by using the well-known projection lemma. Then, from this new lemma, a twostep design procedure based on LMI is presented to design insensitive dynamic output feedback controllers such that the resulting closed-loop system is asymptotically stable and meets the requirement of sensitivity specification. A numerical example is also presented to show the effectiveness of the proposed method.

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“…where ƒ´D 1 Z˚ 2 Z˚ 3 Z is defined in (5) and A cl , B cl , and C cl , and O A h , O B h , and O C h are defined in (7).…”

Section: Stage 1: Insensitive Multi-objective Output Feedback Controlmentioning

confidence: 99%

“…Taking this into account, the delta operator models were used to improve description properties of discrete‐time systems in . The numerical advantages of the delta operator approach had been clearly shown in . Nowadays, there is an increasing demand for higher sampling rates .…”

Section: Introductionmentioning

confidence: 99%

Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter

Guo

Yang

2012

Intl J Robust & Nonlinear

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Improved closed‐loop stability for fixed‐point controller realizations using the delta operator

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Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter

Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter

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Improved closed‐loop stability for fixed‐point controller realizations using the delta operator

Cited by 1 publication

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Insensitive output feedback H ∞ control of delta operator systems with insensitivity to sampling time jitter

Insensitive output feedback H ∞ control of delta operator systems with insensitivity to sampling time jitter

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Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter

Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter