Internal behaviour provided by nonlinear \(l_{1}\)-optimal controllers

DOI10.1016/S0167-6911(00)00018-9zbMath0985.93032MaRDI QIDQ1575690

Daniel E. Miller, Vladimir M. Lucic

Publication date: 21 August 2000

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

zbMATH Keywords

state feedbackinvariant setnonlinear controlpersistent disturbances\(l_1\)-optimal control

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55)

Cites Work

• State feedback \(\ell{}_ 1\)-optimal controllers can be dynamic
• Nonlinear state feedback for \(\ell^ 1\) optimal control
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• 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
• Two properties of l/sub 1/-optimal controllers
• Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization
• l/sub 2/ state-feedback control with a prescribed rate of exponential convergence
• Nonlinear L₁ optimal controllers for linear systems
• Persistent disturbance rejection via static-state feedback
• Optimization of the l/sup ∞/-induced norm under full state feedback

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