Mixed \(l_ 1/{\mathcal H}_ \infty\) controllers for SISO discrete time systems

DOI10.1016/0167-6911(94)90003-5zbMath0816.93028OpenAlexW2133566208MaRDI QIDQ1337661

Mario Sznaier

Publication date: 4 December 1994

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(94)90003-5

zbMATH Keywords

convex optimizationdiscrete timemixed \(l_ 1/{\mathcal H}_ \infty\) controllerspersistent disturbancetime/frequency domain performance specifications

Mathematics Subject Classification ID

Convex programming (90C25) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) (H^infty)-control (93B36) Robust stability (93D09)

Related Items (3)

Convergence of optimal control problems with an \({\mathcal H}_ \infty\)-norm constraint ⋮ Robust control of constrained systems via convex optimization ⋮ Multiobjective \(L_1/H_\infty\) controller design for systems with frequency and time domain constraints

Cites Work

• Single-input--single-output \({\mathcal H}_ \infty\)-control with time domain constraints
• Optimal rejection of persistent bounded disturbances
• <tex>l^{1}</tex>-optimal feedback controllers for MIMO discrete-time systems
• <tex>L^{1}</tex>-optimal compensators for continuous-time systems
• A new CAD method and associated architectures for linear controllers
• Robust control of ill-conditioned plants: high-purity distillation
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Further results on the optimal rejection of persistent bounded disturbances
• Performance robustness of discrete-time systems with structured uncertainty
• On Constraint Dropping Schemes and Optimality Functions for a Class of Outer Approximations Algorithms

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