Title :
A Synthesis Method of LTI MIMO Robust Controllers for Uncertain LPV Plants
Author :
Rosa, P. ; Balas, Gary J. ; Silvestre, Carlos ; Athans, Michael
Author_Institution :
Deimos Eng., Lisbon, Portugal
Abstract :
This technical note presents a complete methodology to design LTI dynamic controllers for Linear Parameter-Varying (LPV) plants, with time-varying (real-valued) parametric and complex-valued uncertainties, using Bilinear Matrix Inequalities (BMIs). These LPV/BMI controllers are able to provide stability- and performance-robustness guarantees against complex- and real-valued uncertainties on the model of the plant, and against time-variations of unmeasured parameters. A comparison between mixed-μ and LPV/BMI controllers is presented and the performance of this new approach is demonstrated in simulation.
Keywords :
MIMO systems; control system analysis; control system synthesis; linear systems; matrix algebra; robust control; time-varying systems; uncertain systems; LPV-BMI controllers; LTI MIMO robust controller synthesis method; LTI dynamic controllers; bilinear matrix inequalities; complex-valued uncertainties; linear parameter-varying plants; linear time-invariant controller; mixed-μ controllers; performance-robustness guarantees; real-valued uncertainties; stability-guarantees; time-varying parametric uncertainties; uncertain LPV plants; Algorithm design and analysis; Heuristic algorithms; Linear matrix inequalities; Optimization; Robustness; Uncertainty; Vectors; Robust control; time-varying systems; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2301572
