Guaranteed cost PI control for uncertain discrete-time systems with additive gain

Mukaidani, Hiroaki; Umeda, T.; Tanaka, Yoshiyuki; Tsuji, Takao

doi:10.23919/ecc.2009.7074751

Cited by 4 publications

(4 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the proof can be obtained by following a technique to that in [18] and [19], it is omitted. It is noteworthy that the existing results [12][13][14][15][16][17][18][19] did not take the state-dependent noise into consideration. Hence, the present results are an extension of these results in the sense that stochastic uncertainty can be permitted.…”

Section: Decentralized Gcc Pid For Discrete-time Uncertain Largementioning

confidence: 99%

“…It is noteworthy that the existing results 12–19 did not take the state‐dependent noise into consideration. Hence, the present results are an extension of these results in the sense that stochastic uncertainty can be permitted.…”

Section: Decentralized Gcc Pid For Discrete‐time Uncertain Largementioning

confidence: 99%

“…It is noteworthy that earlier studies on PID control [12][13][14] and GCC [15][16][17][18][19] did not take the state-dependent noise into consideration. It is noteworthy that earlier studies on PID control [12][13][14] and GCC [15][16][17][18][19] did not take the state-dependent noise into consideration.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, a robust nonfragile guaranteed cost PID controller design problem for the uncertain discrete-time stochastic system with additive gain perturbations is addressed. It is noteworthy that earlier studies on PID control [12][13][14] and GCC [15][16][17][18][19] did not take the state-dependent noise into consideration. Further, even the deterministic uncertainties were not considered in [13,14].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Guaranteed cost PID control for uncertain discrete‐time stochastic systems with additive gain perturbations

Mukaidani

2010

Asian Journal of Control

Self Cite

View full text Add to dashboard Cite

This paper investigates a novel design method for robust nonfragile proportional-integral-derivative (PID) control that is based on the guaranteed cost control (GCC) problem for a class of uncertain discrete-time stochastic systems with additive gain perturbations. On the basis of linear matrix inequality (LMI), a class of fixed PID controller parameters is obtained, and some sufficient conditions for the existence of the GCC are derived. Although the additive gain perturbations are included in the feedback systems, both the stability of closed-loop systems and adequate cost bound are attained. As a sequel, decentralized GCC PID for a class of discrete-time uncertain large-scale stochastic systems is also considered. Finally, the numerical results demonstrate the efficiency of the proposed controller synthesis.

show abstract