Distributed control of spatially invariant systems

By Bassam Bamieh, Fernando Paganini, Munther A. Dahleh. IEEE Transactions on Automatic Control, 2002

919 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/fefda75891f20a16d16557119476b16b38baf6f7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Control and Systems Engineering

In Numerical Analysis

Citations in the corpus

Flow control: new challenges for a new Renaissance (2001, methodology): “Algebraic manipulation of (4){(8) leads to the closed-loop form _ ~ x = ~ A ~ x+ ~ B1w z = ~ C1~ x; (9) where~ A = A+B2K B2K 2B1 B 1 A+ LC2 + 2 B1B 1 ~ x = x x x̂ ; ~ B1 = B1 B1 + LD21 ; ~ C1 = C1 +D12K D12K : Taking the Laplace transform of (9), it is easy to de ne the transfer function Tzw(s) from”
Distributed control design for spatially interconnected systems (2003, methodology): “problems, is exploited to apply the results in [3] and obtain a computationally attractive practical control design methodology to address performance and robustness issues.”
Distributed LQR Design for Identical Dynamically Decoupled Systems (2008, background): “The fundamental work of [4], [6] in this field discusses distributed linear quadratic regulator (LQR) design purely for infinite dimensional spatially invariant systems, where the problem diagonalizes exactly into a parameterized family of finite dimensional LQR problems.”
Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective (2009, background): “Examples include physiological systems and gene networks [12]; large-scale energy systems; and multiple space, air, and land vehicles [1, 2, 20, 27, 37, 38].”
Cooperative Adaptive Cruise Control: Network-Aware Analysis of String Stability (2014, background): “Some research has focused on making use of underlying interconnection structures to derive scalable system theoretic properties for this type of platoon systems [9], [10].”
Design of Optimal Sparse Feedback Gains via the Alternating Direction Method of Multipliers (2011, background): “Recently developed tools from distributed optimization [56] may play an important role in this effort.”
Lp String Stability of Cascaded Systems: Application to Vehicle Platooning (2014, background): “Various applica tions regarding interconnected systems are reported in [13] and [14], whereas [15] and [16] provide extensive analyzes of the system properties.”
Linear feedback control and estimation of transition in plane channel flow (2003, background): “This characteristic was predicted theoretically by Bamieh et al. (2002) for a broad class of spatially homogeneous systems.”
Distributed control design for systems interconnected over an arbitrary graph (2004, methodology): “However, these results are only valid when the interconnection structure has some special property (identical subsystems with nearest neighbors coupling [2], [3], hierarchical or nested coupling [40] or quadratic invariance [33]) and/or yield static state feedback controllers [7], [36].”
Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback (2011, neutral): “These optimal feedback laws are almost local in a sense described by [21], where control gains decay exponentially as a function of distance.”
Disturbance propagation in vehicle strings (2004, background): “The research on vehicle strings can be generalized and studied as a spatially invariant system [12].”
Closed-form boundary State feedbacks for a class of 1-D partial integro-differential equations (2004, neutral): “I. INTRODUCTION”