**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Thursday, April 27, 2017 2:30 PM EDT

MC 5417

Dante Kalise

Johann Radon Institute for Computational and Applied Mathematics |(RICAM), Linz, Austria

Optimization-based feedback control design for multiscale nonlinear dynamics

Optimal feedback control design provides a robust and real-time computable answer to fundamental challenges in modern engineering, such as active vibration control, fluid flow control, and multi-agent networks. For an optimality-based formulation of the feedback design problem, the Dynamic Programming Principle allows the characterization of the associated value function as the viscosity solution of a fully nonlinear Hamilton-Jacobi-Bellman (HJB) equation, defined over the state-space of the controlled dynamical system. This talk focuses on the computation of optimal feedback controllers for multsicale nonlinear dynamics through the numerical approximation of HJB equations. We will review recent results concerning optimal feedback control of low and high-dimensional dynamics arising in the optimal control of partial differential equations, and agent-based models. We shall also address different control features such as robustness, sparsity, and multiscale control design.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.