Dissipative PI control for a class of semilinear heat equations with actuator disturbance. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Schaum, A.; Feketa, P.; Meurer, T.
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 7503
• Page End: 7508
• Publication Date: 2020
• Subjects: Semilinear partial differential equations -- PI control -- dissipativity -- actuator disturbance; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1315
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The problem of dissipative proportional-integral (PI) output-feedback control for a class of semilinear heat equations with actuator disturbance is addressed. Sufficient conditions for strict dissipativity in the state and thus exponential stability of the closed-loop system are derived which are stated in terms of the dissipavity properties of the nonlinearity, the controller gains and the actuator and sensor shape functions (i.e., their form and localization). Based on these conditions a dissipation maximization procedure is proposed to appropriately choose the degrees of freedom using optimization algorithms. Numerical simulation results illustrate the performance of the proposed controller.