TY - GEN

T1 - Revisiting quasi-optimum control

AU - Friedland, Bernard

PY - 2006

Y1 - 2006

N2 - A technique of quasi-optimum control was developed by the author in 1966. The goal of the technique was to permit one to use the apparatus of optimum control theory without having to solve the two-point boundary value problem for the actual problem. This was achieved by assuming the actual problem is "near" a simplified problem the solution of which was known. In this case, the control law adds a linear correction to the costate of the simplified problem. The linear correction is obtained as the solution of a matrix Riccati equation. During the 1960s and early 1970s the efficacy of the technique was demonstrated in by several guidance and control examples. With the resurgence of interest in optimum control via the Hamilton-Jacobi-Bellman equation, it is timely to revisit the quasi-optimum control technique. After a review of the theory, several new examples are provided to illustrate how the technique can be applied. These include mildly nonlinear processes, processes with bounded-control, and processes with state-variable constraints. After a discussion of alternate suboptimal control techniques, the paper concludes with a discussion of some issues remaining with the method.

AB - A technique of quasi-optimum control was developed by the author in 1966. The goal of the technique was to permit one to use the apparatus of optimum control theory without having to solve the two-point boundary value problem for the actual problem. This was achieved by assuming the actual problem is "near" a simplified problem the solution of which was known. In this case, the control law adds a linear correction to the costate of the simplified problem. The linear correction is obtained as the solution of a matrix Riccati equation. During the 1960s and early 1970s the efficacy of the technique was demonstrated in by several guidance and control examples. With the resurgence of interest in optimum control via the Hamilton-Jacobi-Bellman equation, it is timely to revisit the quasi-optimum control technique. After a review of the theory, several new examples are provided to illustrate how the technique can be applied. These include mildly nonlinear processes, processes with bounded-control, and processes with state-variable constraints. After a discussion of alternate suboptimal control techniques, the paper concludes with a discussion of some issues remaining with the method.

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U2 - 10.1109/acc.2006.1655370

DO - 10.1109/acc.2006.1655370

M3 - Conference contribution

AN - SCOPUS:34047237926

SN - 1424402107

SN - 9781424402106

T3 - Proceedings of the American Control Conference

SP - 292

EP - 297

BT - Proceedings of the 2006 American Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2006 American Control Conference

Y2 - 14 June 2006 through 16 June 2006

ER -