Stabilization of two coupled wave equations with joint anti-damping and non-collocated control

[1]  Walter Lacarbonara,et al.  Closed-loop non-linear control of an initially imperfect beam with non-collocated input , 2004 .

[2]  Miroslav Krstic,et al.  Output-feedback stabilization of an unstable wave equation , 2008, Autom..

[3]  A Nyquist stability criterion for distributed parameter systems , 1989 .

[4]  Miroslav Krstic,et al.  Stabilization of a 2 × 2 system of hyperbolic PDEs with recirculation in the unactuated channel , 2020, Autom..

[5]  Bao-Zhu Guo,et al.  Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback , 2010, Autom..

[6]  L. F. Ho.  Controllability and stabilizability of coupled strings with control applied at the coupled points , 1993 .

[7]  Marcio de Queiroz,et al.  BOUNDARY CONTROL OF VIBRATION AND NOISE IN DISTRIBUTED PARAMETER SYSTEMS: AN OVERVIEW , 2002 .

[8]  Harry H. West,et al.  Pointwise stabilization in the middle of the span for second order systems nonuniform and uniform exponential decay of solutions , 1987 .

[9]  Shang-Teh Wu.  Virtual passive control of flexible arms with collocated and noncollocated feedback , 2001, J. Field Robotics.

[10]  Kang-Sheng Liu.  Energy decay problems in the design of a point stabilizer for coupled string vibrating systems , 1988 .

[11]  Jianxin Zhou,et al.  The wave propagation method for the analysis of boundary stabilization in vibrating structures , 1990 .

[12]  Donghai Li,et al.  Dynamic feedback stabilization of an unstable wave equation , 2020, Autom..

[13]  Bao-Zhu Guo,et al.  Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition , 2006 .

[14]  Bao-Zhu Guo,et al.  Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation , 2008, Syst. Control. Lett..

[15]  Ruth F. Curtain,et al.  Survey paper: Transfer functions of distributed parameter systems: A tutorial , 2009 .

[16]  Weidong Zhu,et al.  ON THE ENERGY DECAY OF TWO COUPLED STRINGS THROUGH A JOINT DAMPER , 1997 .

[17]  Jun-Min Wang,et al.  ADRC Dynamic Stabilization of an Unstable Heat Equation , 2020, IEEE Transactions on Automatic Control.

[18]  M. Krstić,et al.  Backstepping observers for a class of parabolic PDEs , 2005, Syst. Control. Lett..

[19]  Yu Xie,et al.  A Sufficient Condition on Riesz Basis with Parentheses of Non--Self-Adjoint Operator and Application to a Serially Connected String System under Joint Feedbacks , 2004, SIAM J. Control. Optim..

[20]  Bao-Zhu Guo,et al.  Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only , 2017, IEEE Transactions on Automatic Control.

[21]  Bao-Zhu Guo,et al.  Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation , 2003, SIAM J. Control. Optim..

[22]  Dong Zhao,et al.  A Novel Boundary Control Solution for Unstable Heat Conduction Systems Based on Active Disturbance Rejection Control , 2016 .

[23]  Firdaus E. Udwadia.  Noncollocated point control of nondispersive distributed-parameter systems using time delays , 1991 .

[24]  Jun-Min Wang,et al.  Stabilisation of an anti-stable joint string with boundary disturbance , 2020, Int. J. Control.

[25]  Bao-Zhu Guo,et al.  The Stabilization of a One-Dimensional Wave Equation by Boundary Feedback With Noncollocated Observation , 2007, IEEE Transactions on Automatic Control.