Generalized KYP lemma: unified frequency domain inequalities with design applications

By Tetsuya Iwasaki, Shinji Hara. IEEE Transactions on Automatic Control, 2005

1,062 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/03d298142b1b23ff53c435310ccee3618fa71043

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Citations in the corpus

Active Suspension Control With Frequency Band Constraints and Actuator Input Delay (2012, background): “Recently, a significant development made by Iwasaki and Hara is the generalized Kalman–Yakubovich–Popov (KYP) lemma [23] that establishes the equivalence between a frequency domain property and a linear matrix inequality (LMI) over a finitefrequency range, allowing designers to impose performance re”
Finite Frequency $H_{\infty }$ Control for Vehicle Active Suspension Systems (2011, background): “The space of square-integrable vector functions over is denoted by , and for , its norm is given by .”
From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma (2020, background): “A generalized S-lemma involving more general types of multipliers was considered in [44], [45], and was shown to be non-conservative under extra assumptions.”
A finite frequency approach to filter design for uncertain discrete‐time systems (2008, background): “Lemma 1 (Generalized KYP lemma, Iwasaki and Hara [26]) Considering system (5), let a symmetric matrix ∈R(n+nz)×(n+nz) be given, the following statements are equivalent: (i) The finite frequency inequality [G(ej ) I ] [ G(ej )∗ I ] <0 ∀ ∈ (7) where is defined in Table I. (ii) There exist Hermitian ma”
Experimentally verified generalized KYP Lemma based iterative learning control design (2016, background): “Based on results in (Iwasaki and Hara, 2005), the decision variables P̂h and Q̂h have to be Hermitian matrices.”
Robust finite frequency range iterative learning control design and experimental verification (2013, methodology): “As emphasized in Iwasaki and Hara (2007), the main use of the generalized KYP lemma is to compute a control law that allows the designer to specify the desired shape of the closed-loop frequency response in specified frequency ranges without the use of frequency gridding and weighting filters.”
A finite frequency domain approach to fault detection observer design for linear continuous‐time systems (2008, methodology): “2 H index via GKYP lemma The generalized KYP Lemma [17] gives a necessary and sufficient condition for a given transfer function to satisfy a required frequency domain property over a finite frequency range in terms of a linear matrix inequality condition.”
Fault detection in finite frequency domains for multi‐delay uncertain systems with application to ground vehicle (2015, methodology): “According to [11], ! is also able to characterize high frequency and middle frequency ranges.”
Kalman-Popov-Yakubovich lemma and the S-procedure: A historical essay (2006, methodology): “Examples of using the generalization of the Kalman–Popov–Yakubovich lemma described in this section for the problems of control are presented in [99, 100, 201].”
Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma (2007, background): “It has been demonstrated that the GKYP lemma is effective for several engineering design problems, including open-loop shaping for feedback control synthesis, digital filter design, and structure/ control design integration [7, 9, 10].”
Robust PID control using generalized KYP synthesis: direct open-loop shaping in multiple frequency ranges (2006, background): “We first summarize the GKYP results [15] without proofs.”