Title :
Mixed l1/H∞ controllers for MIMO discrete-time systems
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
Presents a methodology for designing mixed l1/H∞ controllers for MIMO systems. These controllers allow for minimizing the worst-case peak output due to persistent disturbances, while, at the same time, satisfying an H∞-norm constraint upon a given closed-loop transfer function. Therefore, these are of particular interest for applications dealing with multiple performance specifications. The main result of the paper shows that mixed l1/H∞ suboptimal controllers can be obtained by solving a sequence of problems, each one consisting of a finite-dimensional convex optimization and a 4-block H ∞ problem. Thus, finding these solutions entails solving a finite dimensional convex optimisation problems and standard algebraic Riccati equations
Keywords :
H∞ control; MIMO systems; Riccati equations; control system synthesis; discrete time systems; minimisation; suboptimal control; 4-block H∞ problem; H∞-norm constraint; MIMO discrete-time systems; closed-loop transfer function; finite-dimensional convex optimization; mixed l1/H∞ suboptimal controllers; mixed l1/H∞ controllers; persistent disturbances; standard algebraic Riccati equations; worst-case peak output minimisation; Control systems; Design engineering; Energy capture; MIMO; Power system modeling; Robust control; Robust stability; Sampling methods; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411630
