Feedforward control, PID control laws, and almost invariant subspaces

DOI10.1016/S0167-6911(82)80012-1zbMath0473.93032OpenAlexW2016934274MaRDI QIDQ1159163

Jan C. Willems

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(82)80012-1

zbMATH Keywords

state feedbackdisturbance decouplingfeedforward controlPID controlimpulsive controlalmost invariant subspaces

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Algebraic methods (93B25) Model systems in control theory (93C99)

Related Items (12)

Input decoupling with PD and preview control law for non-strictly proper systems ⋮ Signal decoupling with preview in the geometric context: exact solution for nonminimum-phase systems ⋮ On almost invariant subspaces for implicit linear discrete-time systems ⋮ Measurable signal decoupling with dynamic feedforward compensation and unknown-input observation for systems with direct feedthrough ⋮ On a stable solution of the problem of disturbance reduction ⋮ Geometric Methods for Invariant‐Zero Cancellation in Linear Multivariable Systems with Application to Signal Rejection with Preview ⋮ Unnamed Item ⋮ Generalized signal decoupling problem with stability for discrete-time systems ⋮ Cascade equivalence of linear systems ⋮ Guaranteed roll-off in a class of high-gain feedback design problems ⋮ Unnamed Item ⋮ Fault tolerant control using virtual actuators and set-separation detection principles

Cites Work

• Unnamed Item
• Linear multivariable control. A geometric approach
• Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
• Disturbance Decoupling by Measurement Feedback with Stability or Pole Placement
• Almost invariant subspaces: An approach to high gain feedback design--Part II: Almost conditionally invariant subspaces
• A strong controllability and observability in linear multivariable control

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