论文信息 - A general Riccati equation solution to the deadbeat control problem

A general Riccati equation solution to the deadbeat control problem

It is well known that the state of a controllable system can be driven to zero in minimum time for arbitrary initial condition by the time-varying Kalman gain sequence computed via a singular Riccati equation. This paper shows how a constant (deadbeat control) feedback which will accomplish the same result in the same minimum time can always be found via the same Riccati equation.

Frank L. Lewis

[1] B. Leden. Dead-beat control and the Riccati equation , 1976 .

[2] Vladimír Kučera. The structure and properties of time-optimal discrete linear control , 1971 .

[3] F. Lewis. Generalized output nulling subspaces: Riccati equation computation and applications , 1982 .

[4] C. Desoer,et al. The multiple-input minimal time regulator problem (General theory) , 1963 .

[5] Frank L. Lewis. A generalized inverse solution to the discrete-time singular Riccati equation , 1981 .

[6] R. W. Koepcke. A Solution to the Sampled, Minimum-Time Problem , 1964 .

[7] Hajime Akashi,et al. On time optimal control of linear discrete-time systems by geometric approach , 1978 .

[8] Bo Leden. Output dead-beat control—a geometric approach , 1977 .

[9] Vladimír Kucera,et al. State space approach to discrete linear control , 1972, Kybernetika.

[10] P. Bruck,et al. A new result in time-optimal control of discrete systems , 1974 .

[11] Frank L. Lewis. Riccati equation solution of the minimum time output control problem , 1981 .

[12] D. Luenberger. Canonical forms for linear multivariable systems , 1967, IEEE Transactions on Automatic Control.