Boundary control of cascaded ODE-Heat equations under actuator saturation

2016/08/12 by Wen Kang, Emilia Fridman, Kang, Wen +1
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1608.03729

arxiv created 2017/04/19 · arxiv updated 2017/04/21

Abstract

In this paper, we consider boundary stabilization for a cascade of ODE-heat system with state delay under actuator saturation. To stabilize the system, we design a state feedback controller via the backstepping method and find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability of the delayed cascaded systems is proved by using Halanay's inequality. Numerical examples illustrate the efficiency of the method.

Related

• Output-Feedback Boundary Control of a Heat PDE Sandwiched Between Two ODEs
• Exponential stabilization of cascade ode-reaction-diffusion pde by pointwise actuation
• Disturbance-to-state stabilization by output feedback of nonlinear ODE cascaded with a reaction-diffusion equation
• Actuator Dynamics Compensation in Stabilization of Abstract Linear Systems
• Exponential stabilization of cascade ode-linearized kdv system by boundary Dirichlet actuation