EAN: 9783384242235

NUMERICAL APPROACHES TO OPTIMAL CONTROL TACKLIN...

Optimal control has been widely applied to modern control systems design and has drawn great
attention for decades. In the optimal control theory  the control problem is formulated as an
optimization problem  and the control law is calculated by solv-ing the optimal control problem
(OCP). Comparing with traditional control methods like PID control  optimal control is capable
of providing an optimal control law in a systematic way. However  optimal control can achieve
an analytic expression of the optimal control law only for some relatively simpler cases  for
instance  unconstrained linear systems. Specifically  the optimal feedback control law for
unconstrained linear systems with a quadratic cost function is in a simple linear form  and the
optimal control gain is obtained by solving a Riccati equation. In practical systems  most of
the physical plants are essentially nonlinear systems subject to physical constraints. For
these cases  it is di cult to obtain an analytical solution to the optimal control problems. In
order to find the optimum to an intractable optimization problem  ap-proximate solutions have
to be taken into account.

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