论文信息 - Lyapunov steepest descent control of constrained linear systems

Lyapunov steepest descent control of constrained linear systems

A Lyapunov sufficiency condition is developed for steepest descent controls to yield global asymptotic stability of the origin in constrained linear systems. The results are applied to a previous counterexample for "optimal-aim" control. Using the more flexible Lyapunov steepest descent approach, global asymptotic stability is achieved, where optimal-aim control produced instability.

W. Grantham | A. Chingcuanco

[1] J. Dauer. Controllability of nonlinear systems with restrained controls , 1974 .

[2] Thomas L. Vincent,et al. Sufficiency theorems for target capture , 1975 .

[3] R. Barnard. An optimal-aim control strategy for nonlinear regulation systems , 1975 .

[4] R. Barnard. Continuous-time implementation of optimal-aim controls , 1976 .

[5] R. Barnard. Optimal-proximity controls , 1978 .

[6] Instability of optimal-aim control , 1980 .

[7] Walter Grantham,et al. Controllability conditions and effective controls for nonlinear systems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[8] R. Barnard. Comments on "Instability of optimal-aim control" , 1982 .

[9] Walter J. Grantha. Some Necessary Conditions for Steepest Descent Controllability , 1982, 1982 American Control Conference.