Synthesis of a discrete adaptive control algorithm for a linear object using a Lyapunov function
Synthesis of a discrete adaptive control algorithm for a linear object using a Lyapunov function
The paper considers linear time-invariant state space models \((A, B, C)\) satisfying certain structural properties, but the matrices \(A\), \(B\) and \(C\) themselves are unknown. The problem of the existence and the form of an adaptive discrete-time control algorithm are shown to be equivalent to the problem of the existence of a special Lyapunov function.
Discrete-time control/observation systems, linear, Adaptive control/observation systems, Lyapunov stability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, discrete-time control, adaptive control
Discrete-time control/observation systems, linear, Adaptive control/observation systems, Lyapunov stability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, discrete-time control, adaptive control