NDLI: Input-to-state stability of an ODE-heat cascade system with disturbances

Content Provider	IET Digital Library
Author	Zhang, Yu Long Wang, Jun Min Guo, Ya Ping
Abstract	In this study, the authors consider the input-to-state stability of an ordinary differential equation (ODE)–heat cascade system with Dirichlet interconnection where the boundary control input is located at the right end of the heat equation and the disturbance is appeared as a non-homogeneous term in the ODE. Based on two backstepping transformations, they design a state feedback control law that guarantees the input-to-state stability of the closed-loop system. The well-posedness of the closed-loop system is presented by using the semi-group approach. Moreover, they design an output feedback control law by constructing an exponentially convergent observer. With the output feedback control, the input-to-state stability of the resulting closed-loop system is proven.
Starting Page	191
Ending Page	202
Page Count	12
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 2, Jan (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/2
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5816
Journal	IET Control Theory & Applications
Publisher Date	2018-11-20
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Boundary Control Input Cascade System Closed Loop System Control Nonlinearities Control System Analysis Control System Synthesis Differential Equation (numerical Analysis) Feedback Function Theory And Analysis Heat Equation Input-to-state Stability Mathematical Analysis Nonlinear Control System Observers ODE-heat Cascade System Ordinary Differential Equation–heat Cascade System Partial Differential Equation Resulting Closed-loop System Stability Stability in Control Theory State Feedback State Feedback Control Law Synthesis Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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