H^∞ preview tracking in output feedback setting

Abstract

SUMMARYThe performance of preview control is investigated in terms of H 1 -criterion. In the output feedback setting, an H 1 preview control problem is discussed and the analytic solution is characterized by introducing matrix Riccati equations. The strength and the limitation of the H 1 preview performance are illustrated with numerical examples.

Performance Enhancement of Gust Load Alleviation Systems for Flexible Aircraft using H∞Optimal Control with Preview

“…By measuring the disturbance ahead of the plant with enough lead time, new information and degrees of freedom become available for the controller; hence, a performance enhancement can be achieved. This type of control strategies has been used for various systems, see for instance [33][34][35][36][37] and the references therein, under the name "preview control".…”

“…In the literature, two different main approaches to account for the delay term are followed. The first is in the continuous-time domain and based on the work of [34,35], whereas the second is in the discrete-time domain and based on the work of [37]. In the course of this work, a discrete-time formulation, strongly inspired by the one used in [37], is used.…”

Optimal preview control: A review

“…The literature available from the year 1988 to 1997 shows that the control theories were applied for the simplest Preview Optimization problem, namely, output feedback setting, unified LQ/H ∞ design and linear matrix inequality (LMI)‐based design. The literature also presents a successful implementation of preview control design using diverse control settings. The next stage in the field of preview control design witnessed the incorporation of other theories and problems, namely, fuzzy logic concept and artificial neural network concept was combined with preview control theory, estimation problem was added to simple preview control problem, and frequency domain was investigated for the design of preview controller .…”

Noncausal Optimal Tracking of Linear Switched Systems

“…It is well known that, for design of tracking control systems, preview information of reference signals is very useful for improving the performance of the closed-loop systems, and much work has been done for preview control systems( [4,5,[7][8][9][10][11][12][13][14][15][16][17][18]). U. Shaked and C. E. de Souza have presented the H ∞ tracking theory with preview by a game theoretic approach( [17]).…”

“…In order to design noncausal feedforward compensators, we consider a vector and its dynamics introducing future information of reference signals( [17]). As the cases of the previous various preview or noncausal tracking control theory( [4,5,[7][8][9][10][11][12][13][14][15][16][17][18]), we can expect improvement of tracking performance by introducing future information. We present a practical optimization algorithm, which is an extension of the time parametrization method by X. Xu and P. J. Antsaklis( [19,22]).…”