Linear Quadratic Optimal Control of a Wave Equation with Boundary Damping and Pointwise Control Input

LINEAR QUADRATIC OPTIMAL CONTROL OF A WAVE EQUATION WITH BOUNDARY DAMPING AND POINTWISE CONTROL INPUT by

The linear quadratic optimal regulator problem on a wave equation in a bounded subset of R for n = 2; 3 with boundary damping and pointwise control input is formulated as a linear quadratic control problem with unbounded input/output operators using a variational approach. A dual control system is de ned which allows us to investigate the regularity of the solution of the generalized wave equat...

Linear Quadratic Optimal Control of A Wave Equation withBoundary Damping and Pointwise Control Input

The linear quadratic optimal regulator problem on a wave equation in a bounded subset of R n for n = 2; 3 with boundary damping and pointwise control input is formulated as a linear quadratic control problem with unbounded input/output operators using a variational approach. A dual control system is deened which allows us to investigate the regularity of the solution of the generalized wave equ...

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...

Linear Quadratic Control with Input Saturation

This paper studies a new approach to linear quadratic control for linear systems with input saturation. Our work presents an optimal sector bound to model the mismatch between the unsaturated controller and saturated one and an optimised control design associated with this sector bound. This leads to a new characterisation of invariant sets and new switching controllers. The main outcome of thi...