Distributed semistable LQR control for discrete-time dynamically coupled systems |
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| Authors: | Qing Hui |
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| Affiliation: | 1. Dept. de Sistemas Informáticos, Univ. de Castilla-La Mancha, 02071, Albacete, Spain;2. Dept. de Informática de Sistemas y Computadores, Univ. Politécnica de Valencia, 46022, Valencia, Spain;1. Division of Systems Engineering and Center for Information and Systems Engineering, Boston University, Brookline, MA 02446, USA;2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, 100083, China |
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| Abstract: | A distributed linear-quadratic-regulator (LQR) semistability theory for discrete-time systems is developed for designing optimal semistable controllers for discrete-time coupled systems. Unlike the standard LQR control problem, a unique feature of the proposed optimal control problem is that the closed-loop generalized discrete-time semistable Lyapunov equation can admit multiple solutions. Necessary and sufficient conditions for the existence of solutions to the generalized discrete-time semistable Lyapunov equation are derived and an optimization-based design framework for distributed optimal controllers is presented. |
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