Receding Horizon Controls for Input-Delayed Systems

Abstract

In literature it is conjectured that the states of the generalized Lorenz system with an unknown parameter can not be estimated by adaptive observers. In this paper we show that this unknown parameter and the states can actually be estimated simultaneously by some kind of adaptive observer. The proof is obtained by constructing some exponential observer to achieve chaotic synchronization for the generalized Lorenz system. The result implies that more work needs to be done to apply generalized Lorenz system in secure communication.

Stabilizing model predictive control for constrained nonlinear distributed delay systems

“…Regarding (11), the terminal cost is written as follows: Remark 2 is employed to calculate α = 1.35 in (10), so the terminal region is determined as following;…”

“…A stabilizing model predictive control for linear state-delayed systems and linear input-delayed systems was developed in [9,10], respectively. In [11], to assure the closed-loop stability in the predictive control of nonlinear time-delay systems, an expanded zero terminal state constraint which takes the past trajectory of the system into account was utilized in the finite horizon problem.…”

An Improved Receding Horizon Control for Time-Delay Systems

“…This approach is also extended to the receding horizon H ∞ control in [7]. For input-delay systems, a primitive version appears in [8] and is generalized in [9] to enlarge the feasibility set.…”

“…The cost functions employed in [6][7][8][9][10] include two terminal weighting matrices and the LMI conditions therein for obtaining stability-guaranteeing terminal weighting matrices are delay independent and thus conservative since information on the delay size is not utilized. In other words, closed-loop stability is only guaranteed for a limited class of delay systems.…”

Finite horizon optimal control of discrete-time nonlinear systems with unfixed initial state using adaptive dynamic programming

“…In many theoretical discussions, controllers are generally designed to make the controlled systems stabilized or tracked within infinite time horizon [1][2][3][4][5][6][7][8][9]. That is, the system cannot really be stabilized or tracked until the time reaches infinity.…”