In-domain control of a heat equation: an approach combining zero-dynamics inverse and differential flatness

Jun Zheng, Guchuan Zhu

Type: Preprint

Publication Date: 2015-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.1506.03284

View

Locations

arXiv (Cornell University) - View - PDF
Hindawi Journal of Chemistry (Hindawi) - View - PDF
PolyPublie (École Polytechnique de Montréal) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness	2015	Jun Zheng Guchuan Zhu
+	Benchmarking of Flatness-based Control of the Heat Equation	2023	S. Scholz Lothar Berger Dirk Lebiedz
+ PDF Chat	Null controllability of the 2D heat equation using flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	Null Controllability of the 2D Heat Equation Using Flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	Differential Flatness Theory in the Background of Other Control Methods	2015	Gerasimos Rigatos
+	Tracking Control of a Linear Parabolic PDE with In-domain Point Actuators	2011	Amir Badkoubeh Guchuan Zhu
+	Null controllability of the 1D heat equation using flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	Null controllability of the 1D heat equation using flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	Null controllability of the 1D heat equation using flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	Stabilization of a general linear heat‐ODE system coupling at an intermediate point	2017	Zhongcheng Zhou Zhigang Ren Chao Xu
+ PDF Chat	Stabilization Using In-domain Actuator: A Numerical Method for a Non Linear Parabolic Partial Differential Equation	2020	Thérèse Azar Laetitia Perez Christophe Prieur Emmanuel Moulay Laurent Autrique
+	Motion Planning and Robust Tracking for the Heat Equation using Boundary Control	2022	Diego Gutiérrez‐Oribio Yury Orlov Ioannis Stefanou Franck Plestan
+	Null controllability of the heat equation using flatness	2013	Philippe Martin Lionel Rosier Pierre Rouchon
+	On the transfer function of the zero dynamics for a boundary controlled heat problem in two dimensions	2009	C.I. Byrnes D.S. Gilliam
+	Flatness Approach for the Boundary Controllability of a System of Heat Equations	2024	Blaise Colle Jérôme Lohéac Takéo Takahashi
+	Design of Heating Control Algorithms by Solving an Inverse Dynamics Problem	1986	V.I. Salyga V.V. Darienko V.L. Obruchev
+	Robust error based non-collocated output tracking control for a heat equation	2020	Bao‐Zhu Guo Tingting Meng
+	Finite-Dimensional Continuous-Time Controller with the Highest Derivative in Feedback for Multizonned Thermal Furface	2006	K.A. Kail Valery D. Yurkevich
+	Actuator Dynamics Compensation in Stabilization of Abstract Linear Systems	2020	Hongyinping Feng Xiaohui Wu Bao‐Zhu Guo
+	Semi-numerical trajectory planning for coupled systems of linear diffusion-convection-reaction equations	2013	Jakob Schmidt Thomas Meurer

Cited by (0)

Action	Title	Year	Authors

Citing (11)

Action	Title	Year	Authors
+	Boundary Control of PDEs: A Course on Backstepping Designs	2008	Miroslav Krstić
+	Set point boundary control for a nonlinear distributed parameter system	2004	C.I. Bymes D.S. Gilliam Alberto Isidori V.I. Shubov
+	Flatness-based feedforward control for parabolic distributed parameter systems with distributed control	2006	A. M. Kharitonov Oliver Sawodny
+	Observation and Control for Operator Semigroups	2009	Marius Tucsnak George H. Weiss
+	Motion planning for the heat equation	2000	Béatrice Laroche Philippe Martin Pierre Rouchon
+	On the transfer function of the zero dynamics for a boundary controlled heat problem in two dimensions	2009	C.I. Byrnes D.S. Gilliam
+	Feedforward control of inhomogeneous linear first order distributed parameter systems	2011	Florian Malchow Oliver Sawodny
+ PDF Chat	Motion Planning for a nonlinear Stefan Problem	2003	William B. Dunbar Nicolas Petit Pierre Rouchon Philippe Martin
+	Asymptotic properties of root locus for distributed parameter systems	2003	C.I. Byrnes D.S. Gilliam
+	Asymptotic regulation for distributed parameter systems via zero dynamics inverse design	2011	C.I. Byrnes D.S. Gilliam C. Hu V.I. Shubov
+	Representation and Control of Infinite Dimensional Systems	2007	Alain Bensoussan Giuseppe Da Prato Michel C. Delfour Sanjoy K. Mitter