Guaranteed cost design for controlling semilinear parabolic PDE systems with mobile collocated actuators and sensors

This paper investigates the guaranteed cost design problem for controlling a class of semilinear parabolic partial differential equation (PDE) systems using mobile collocated actuators and sensors....

[1]  Stevan Dubljevic,et al.  Linear matrix inequalities (LMIs) observer and controller design synthesis for parabolic PDE , 2014, Eur. J. Control.

[2]  Han-Xiong Li,et al.  Adaptive Neural Control Design for Nonlinear Distributed Parameter Systems With Persistent Bounded Disturbances , 2009, IEEE Transactions on Neural Networks.

[3]  Huai-Ning Wu,et al.  Fuzzy Stabilization Design for Semilinear Parabolic PDE Systems With Mobile Actuators and Sensors , 2020, IEEE Transactions on Fuzzy Systems.

[4]  Huai-Ning Wu,et al.  H ∞ control design for non-linear distributed parameter systems with mobile actuators and sensors , 2019 .

[5]  Baotong Cui,et al.  Improving control and estimation for distributed parameter systems utilizing mobile actuator-sensor network. , 2014, ISA transactions.

[6]  Mark J. Balas,et al.  Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters , 1985 .

[7]  Agus Hasan Backstepping boundary control for semilinear parabolic PDEs , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[8]  Alexander Khapalov,et al.  Mobile Point Controls Versus Locally Distributed Ones for the Controllability of the Semilinear Parabolic Equation , 2001, SIAM J. Control. Optim..

[9]  Lei Guo,et al.  Finite dimensional disturbance observer based control for nonlinear parabolic PDE systems via output feedback , 2016 .

[10]  Jinsong Liang,et al.  Actuation scheduling in mobile actuator networks for spatial-temporal feedback control of a diffusion process with dynamic obstacle avoidance , 2005, IEEE International Conference Mechatronics and Automation, 2005.

[11]  Emilia Fridman,et al.  An LMI approach to Hinfinity boundary control of semilinear parabolic and hyperbolic systems , 2009, Autom..

[12]  Emilia Fridman,et al.  Robust sampled-data control of a class of semilinear parabolic systems , 2012, Autom..

[13]  Ian R. Petersen,et al.  Optimal guaranteed cost control of discrete‐time uncertain linear systems , 1998 .

[14]  Huai-Ning Wu,et al.  Exponential Pointwise Stabilization of Semilinear Parabolic Distributed Parameter Systems via the Takagi–Sugeno Fuzzy PDE Model , 2018, IEEE Transactions on Fuzzy Systems.

[15]  Miroslav Krstic,et al.  Control of 1-D parabolic PDEs with Volterra nonlinearities, Part I: Design , 2008, Autom..

[16]  Miroslav Krstic,et al.  Control of 1D parabolic PDEs with Volterra nonlinearities, Part II: Analysis , 2008, Autom..

[17]  Han-Xiong Li,et al.  Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic Distributed Parameter Systems , 2014, IEEE Transactions on Fuzzy Systems.

[18]  Changyin Sun,et al.  Observer-based dynamic local piecewise control of a linear parabolic PDE using non-collocated local piecewise observation , 2018 .

[19]  Han-Xiong Li,et al.  H$_{\infty}$ Fuzzy Observer-Based Control for a Class of Nonlinear Distributed Parameter Systems With Control Constraints , 2008, IEEE Transactions on Fuzzy Systems.

[20]  M. Krstić,et al.  Boundary Control of PDEs , 2008 .

[21]  Han-Xiong Li,et al.  A Galerkin/Neural-Network-Based Design of Guaranteed Cost Control for Nonlinear Distributed Parameter Systems , 2008, IEEE Transactions on Neural Networks.

[22]  YangQuan Chen,et al.  A Study of Grouping Effect On Mobile Actuator Sensor Networks for Distributed Feedback Control of Diffusion Process Using Central Voronoi Tessellations , 2006, 2006 International Conference on Mechatronics and Automation.

[23]  YangQuan Chen,et al.  Optimal Dynamic Actuator Location in Distributed Feedback Control of A Diffusion Process , 2005, CDC 2005.

[24]  Panagiotis D. Christofides,et al.  Non-linear feedback control of parabolic partial differential difference equation systems , 2000 .

[25]  M. Balas The galerkin method and feedback control of linear distributed parameter systems , 1983 .

[26]  Huai-Ning Wu,et al.  Lyapunov-based design of locally collocated controllers for semi-linear parabolic PDE systems , 2014, J. Frankl. Inst..

[27]  Huai-Ning Wu,et al.  Integrated design of switching control and mobile actuator/sensor guidance for a linear diffusion process , 2019, J. Frankl. Inst..

[28]  Han-Xiong Li,et al.  Finite-Dimensional Constrained Fuzzy Control for a Class of Nonlinear Distributed Process Systems , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Huai-Ning Wu,et al.  Guaranteed cost fuzzy state observer design for semilinear parabolic PDE systems under pointwise measurements , 2017, Autom..

[30]  Han-Xiong Li,et al.  Distributed Proportional–Spatial Derivative Control of Nonlinear Parabolic Systems via Fuzzy PDE Modeling Approach , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).