Strong Structural Non-Minimum Phase Systems

Non-minimum phase systems: delays

Can arise from fast and slow responses of opposite sign: G(s) = 1 s + 1 − 2 s + 5 = 3 − s (s + 1)(s + 5) .

Output Consensus Control of Nonlinear Non-minimum Phase Multi-agent Systems Using Output Redefinition Method

This paper concerns the problem of output consensus in nonlinear non-minimum phase systems. The main contribution of the paper is to guarantee achieving consensus in the presence of unstable zero dynamics. To achieve this goal, an output redefinition method is proposed. The new outputs of agents are functions of original outputs and internal states and defined such that the dynamics of agents a...

A New Near Optimal High Gain Controller For The Non-Minimum Phase Affine Nonlinear Systems

In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...

Non-minimum phase systems: r.h.p. zeros

A unified model-free controller for switching minimum phase, non-minimum phase and time-delay systems

Consider a dynamical system u 7→ x, ẋ = fnl(x, u) where fnl is a nonlinear (convex or nonconvex) function, or a combination of nonlinear functions that can eventually switch. We present, in this preliminary work, a generalization of the standard model-free control, that can either control the dynamical system, given an output reference trajectory, or optimize the dynamical system as a derivativ...