Quantized feedback stabilization of linear systems

By Roger W. Brockett, Daniel Liberzon. IEEE Transactions on Automatic Control, 2000

1,686 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/6e3bd793772a2b00e83344e954fef3b36d2a5238

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In Control and Systems Engineering

Citations in the corpus

Optimal LQG control across packet-dropping links (2007, positive): “Beginning with the seminal paper of Delchamps [5], quantization effects have been studied by Tatikonda [28], Elia and Mitter [6], Brockett and Liberzon [4], Hespanha et al.”
Cyber–Physical Systems: A Perspective at the Centennial (2012, background): “In [63], the problem of quantization is studied where the sensitivity (i.”
Kalman Filtering Over a Packet-Dropping Network: A Probabilistic Perspective (2010, background): “The problem of state estimation and stabilization of a linear time invariant (LTI) system over a digital communication channel which has a finite bandwidth capacity was introduced by Wong and Brockett [1], [2] and further pursued by others (e.g., [3]–[6]).”
Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements (2013, background): “Up to now, a series of results have been available in the literature on the quantisation effects, see e.g. (Brockett and Liberzon 2000; Elia and Mitter 2001; Fu and Xie 2005; Corradini and Orlando 2008) and the references therein.”
Fast Convergence Rates of Distributed Subgradient Methods With Adaptive Quantization (2018, methodology): “The adaptive quantization studied in this article seems to share some similarity with the so-called zoom-in and zoom-out quantization to study the stability of linear systems [16].”
Stabilization of linear systems with limited information (2001, result): “This is in contrast with traditional stability analysis results obtained for a given quantizer already in place [6]–[8], [15], [17], and more along the line of [10].”
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach (2009, background): “For instance, the effects of quantization are studied in [5]–[9], of packet dropouts in [10]–[12], of time-varying transmission intervals and delays in [13]–[17], and [18]–[24], respectively, and of communication constraints in [25]–[28].”
Perspectives and results on the stability and stabilizability of hybrid systems (2000, background): “via quantized feedback is also a problem of recent interest [48], [105]–[107].”
Quantized feedback stabilization of non-linear affine systems (2004, background): “…hybrid systems (systems with both continuous and discrete dynamics), control under communication/computation constraints, the interaction between control and information, etc. (see Lunze et al. 1999, Wong and Brockett 1999, Brockett and Liberzon 2000, Elia and Mitter 2001 and references therein).”
Hybrid feedback stabilization of systems with quantized signals (2003, methodology): “The developments of Brockett and Liberzon (2000) were restricted to quantizers that give rise to rectilinear quantization regions. The present work generalizes the contributions of Brockett and Liberzon (2000) in three di:erent directions. First, we consider more general types of quantizers, with qu”
On the Performance Analysis of Resilient Networked Control Systems Under Replay Attacks (2013, background): “Key issues include band-limited channels [15], [22], quantization [6], [21], packet dropout [10], [13], [27], delay [5] and sampling [23].”
Distributed recursive filtering for stochastic systems under uniform quantizations and deception attacks through sensor networks (2017, methodology): “This kind of errors can be modeled as a bounded unknown disturbance or as an additional random signal obeying uniform distribution [4, 28].”
Control under communication constraints (2004, background): “Liberzon and Brockett have also examined a Lyapunov based design with time-varying encoders [4].”
Event-Triggered Fault Detection of Nonlinear Networked Systems (2017, methodology): “Several methods have been developed to save that resource [40]–[45], in which the event generator is a critical factor [46], [47].”
Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates (2004, methodology): “This approach, similar to [6] [19], is adopted in §5.2.”
Topological feedback entropy and Nonlinear stabilization (2004, background): “In this paper we follow a line of inquiry begun in [9] and continued in [29, 2, 3, 12, 5, 22, 16, 17], amongst others, and focus on the problem of stabilization with a finite data rate.”
Event-triggered sliding mode control of stochastic systems via output feedback (2017, neutral): “…& Famularo, 2015; Yang, Liu, Shi, Thomas, & Basin, 2014), the event-triggered strategies (Al-Areqi, Görges, & Liu, 2015; Huang, Lau, & Kim, 2010; Lunze & Lehmann, 2010; Wang &Lemmon,2011),theLebesguesampling(Åström&Bernhardsson, 2002), and the quantized feedback (Brockett & Liberzon, 2000), etc.”