Minimal and non-minimal optimal fixed-order compensators for time-varying discrete-time systems

DOI10.1016/S0005-1098(01)00182-0zbMath1013.93037OpenAlexW1986894173MaRDI QIDQ5953550

Willem L. de Koning, L. Gerard Van Willigenburg

Publication date: 1 August 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00182-0

zbMATH Keywords

finite horizontwo-point boundary value problemdiscrete-time time-varying systemslinear quadratic designmax-min compensator dimensionsminimal order compensators

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear-quadratic optimal control problems (49N10)

Related Items (5)

How non-zero initial conditions affect the minimality of linear discrete-time systems ⋮ Linear systems theory revisited ⋮ U-D factorisation of the strengthened discrete-time optimal projection equations ⋮ UDU factored discrete-time Lyapunov recursions solve optimal reduced-order LQG problems ⋮ Compensatability and optimal compensation of systems with white parameters in the delta domain

Cites Work

• Unnamed Item
• Numerical algorithms and issues concerning the discrete-time optimal projection equations.
• Optimal reduced-order compensation of time-varying discrete-time systems with deterministic and white parameters
• Reduced order LQG controllers for linear time varying plants
• The optimal projection equations for fixed-order dynamic compensation
• A note on balanced controller reduction
• Conditions for nonnegativeness of partitioned matrices

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