2 research outputs found
Resilient Sparse Controller Design with Guaranteed Disturbance Attenuation
We design resilient sparse state-feedback controllers for a linear
time-invariant (LTI) control system while attaining a pre-specified guarantee
on performance measure. We leverage a technique from
non-fragile control theory to identify a region of resilient state-feedback
controllers. Afterward, we explore the region to identify a sparse controller.
To this end, we use two different techniques: the greedy method of
sparsification, as well as the re-weighted norm minimization. Our
approach highlights a tradeoff between the sparsity of the feedback gain,
performance measure, and fragility of the design. To best of our knowledge,
this work is the first framework providing performance guarantees for sparse
feedback gain design.Comment: Submitted to ACC'2
Convex Relaxation of Bilinear Matrix Inequalities Part II: Applications to Optimal Control Synthesis
The first part of this paper proposed a family of penalized convex
relaxations for solving optimization problems with bilinear matrix inequality
(BMI) constraints. In this part, we generalize our approach to a sequential
scheme which starts from an arbitrary initial point (feasible or infeasible)
and solves a sequence of penalized convex relaxations in order to find feasible
and near-optimal solutions for BMI optimization problems. We evaluate the
performance of the proposed method on the H2 and Hinfinity optimal controller
design problems with both centralized and decentralized structures. The
experimental results based on a variety of benchmark control plants demonstrate
the promising performance of the proposed approach in comparison with the
existing methods