Fuzzy optimal control of linear quadratic models

Optimal Linear Quadratic Control

Linear Quadratic Optimal Control

In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

Multidimensional Uncertain Optimal Control of Linear Quadratic Models with Jump ?

Based on the multidimensional uncertain optimal control problem with jump, in this paper, a kind of special multidimensional uncertain optimal control problem: multidimensional uncertain linear-quadratic (LQ) optimal control problem with jump which has a quadratic objective function for a multidimensional uncertain linear control system with jump is studied. A necessary and sufficient condition...

Uncertain optimal control of linear quadratic models with jump

Based on the uncertain optimal control with jump, in this paper, we study a special optimal control problem: linear quadratic uncertain optimal control problem with jump which has a quadratic objective functional for a linear uncertain control system with jump. We obtain the necessary and sufficient conditions for the existence of optimal control.

Piecewise linear quadratic optimal control

The use of piecewise quadratic cost functions is extended from stability analysis of piecewise linear systems to performance analysis and optimal control. Lower bounds on the optimal control cost are obtained by semi-definite programming based on the Bellman inequality. This also gives an approximation to the optimal control law. An upper bound to the optimal cost is obtained by another convex ...