Multi-objective generalized \(H_2\) control

DOI10.1016/j.automatica.2018.10.006zbMath1406.49043OpenAlexW2901023245MaRDI QIDQ1716672

Mark M. Kogan, Dmitry V. Balandin

Publication date: 5 February 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.10.006

zbMATH Keywords

multi-objective optimizationgeneralized \(H_2\)-normgeneralized \(\gamma_0\)-normGermeyer convolutionoptimal protection from vibrationPareto optimal control

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Applications of optimal control and differential games (49N90) (H^infty)-control (93B36) Vibrations in dynamical problems in solid mechanics (74H45) Optimality conditions (49K99)

Related Items

Control and estimation in linear time-varying systems based on ellipsoidal reachability sets ⋮ The generalized \(H_2\) controller synthesis problem of sampled-data systems ⋮ Multicriteria optimization of induced norms of linear operators: primal and dual control and filtering problems ⋮ Linear matrix inequalities in control systems with uncertainty ⋮ Optimal control of maximum output deviations of a linear time-varying system on a finite horizon ⋮ Minimax control of deviations for the outputs of a linear discrete time-varying system ⋮ GeneralizedH₂control of the linear system with semi‐Markov jumps ⋮ Infinite horizon multiobjective optimal control of stochastic cooperative linear-quadratic dynamic difference games ⋮ Ellipsoidal reachable sets of linear time-varying continuous and discrete systems in control and estimation problems ⋮ Finite-horizon multi-objective generalized \(H_2\) control with transients ⋮ Ellipsoidal reachability sets of linear time-varying systems in estimation and control problems ⋮ Multi-objective robust generalised H₂ control

Cites Work

• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Pareto suboptimal controllers in multi-objective disturbance attenuation problems
• The generalized \(H_ 2\) control problem
• Multiobjective \boldmath$\Ht/\Hf$ Control Design
• Structured output-feedback controller synthesis with design specifications
• On multiple criteria stationary linear quadratic control
• Extensive theoretical/numerical comparative studies on H ₂ and generalised H ₂ norms in sampled-data systems
• LMI-basedH_∞-optimal control with transients
• Convolution and Hankel operator norms for linear systems
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• A linear matrix inequality approach to H_∞ control
• Multiobjective output-feedback control via LMI optimization
• Robust performance analysis for systems with structured uncertainty
• Multiple objective optimal control of linear systems: the quadratic norm case