Paper Info
Title
Feedback optimal control of distributed parameter systems by using finite-dimensional approximation schemes.
Abstract
Optimal control for systems described by partial differential equations is investigated by proposing a methodology to design feedback controllers in approximate form. The approximation stems from constraining the control law to take on a fixed structure, where a finite number of free parameters can be suitably chosen. The original infinite-dimensional optimization problem is then reduced to a mathematical programming one of finite dimension that consists in optimizing the parameters. The solution of such a problem is performed by using sequential quadratic programming. Linear combinations of fixed and parameterized basis functions are used as the structure for the control law, thus giving rise to two different finite-dimensional approximation schemes. The proposed paradigm is general since it allows one to treat problems with distributed and boundary controls within the same approximation framework. It can be applied to systems described by either linear or nonlinear elliptic, parabolic, and hyperbolic equations in arbitrary multidimensional domains. Simulation results obtained in two case studies show the potentials of the proposed approach as compared with dynamic programming.
Year
DOI
Venue
2012
10.1109/TNNLS.2012.2192748
IEEE Trans. Neural Netw. Learning Syst.
Keywords
DocType
Volume
neural network,optimal control,quadratic programming,approximation theory,feedback controller design,control system synthesis,mathematical programming,feedback optimal control,distributed control,distributed parameter system,parabolic equations,nonlinear hyperbolic equations,nonlinear elliptic equations,approximation framework,feedback,boundary controls,nonlinear parabolic equations,linear combinations,distributed parameter systems,partial differential equations,finite dimensional approximation schemes,approximation stems,dynamic programming,approximation scheme,distributed controls,infinite dimensional optimization problem,fixed structure,elliptic equations,partial differential equation,sequential quadratic programming,hyperbolic equation,optimization problem,mathematical model,feedback control
Journal
23
Issue
ISSN
Citations 
6
2162-237X
14
PageRank 
References 
Authors
0.92
20
3
Name
Order
Citations
PageRank
Angelo Alessandri132330.46
Mauro Gaggero213017.60
R. Zoppoli327951.51