Adaptive State-Feedback Controller

Abstract

Having derived state-feedback and output-feedback controllers for (2.4), we will now proceed with adaptive solutions. In this chapter we present an adaptive state-feedback controller for system (2.4), with the additional assumption that $\rho = 1$. For the reader’s convenience, we restate the system here

$$v_t(x, t) - \mu v_x(x, t) = \theta (x) v(0, t)$$

$$v(1, t) = U(t)$$

$$v(x, 0) = v_0(x)$$