Parametric time-optimal control of linear discrete-time systems by state feedback Part 1. Regular Kronecker invariants

DOI10.1080/00207179308934415zbMath0772.93056OpenAlexW4247100960MaRDI QIDQ4693389

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Publication date: 11 October 1993

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179308934415

zbMATH Keywords

state feedbacktime-optimal controllinear multivariable discrete-time systems

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items (9)

The effect of sampling period on the behaviour of systems incorporating state feedback ⋮ Parameterizations of the state feedback controllers for linear multivariable systems. ⋮ An algorithm for minimizing the norm of state feedback controllers in eigenvalue assignment ⋮ Control of fractional periodic discrete-time linear systems by partial eigenvalue assignment of state feedback matrices ⋮ Partial eigenvalue assignment in continuous-time descriptor systems via derivative state feedback ⋮ Parametric time-optimal control of linear discrete-time systems by state feedback Part 2. Irregular Kronecker invariants ⋮ Eigenvalue assignment by minimal state-feedback gain in LTI multivariable systems ⋮ Repetitive control of electrically driven robot manipulators ⋮ Time-optimal control of disturbance-rejection tracking systems for discrete-time time-delayed systems by state feedback

Cites Work

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• The discrete linear time invariant time-optimal control problem - An overview
• Multivariable dead-beat control
• Parameterization of the class of deadbeat controllers via the theory of decoupling
• Parameterization of the class of deadbeat controllers
• Direct computation of canonical forms for linear systems by elementary matrix operations
• Design of dead-beat controllers and full-order observers for linear multivariable discrete-time plants
• State regulation in linear discrete-time systems in minimum time
• Dead-beat control of linear discrete-time systems
• A “bang-bang” principle in the problem of $\varepsilon$-stabilization of linear control systems
• Invariant Description of Linear, Time-Invariant Controllable Systems

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