In this paper, we present two novel algorithms to realize a finite dimensional, linear time-invariant state-space model from input-output data. The algorithms have a number of common features. They are classified as one of the subspace model identification schemes, in that a major part of the identification problem consists of calculating specially structured subspaces of spaces defined by the input-output data. This structure is then exploited in the calculation of a realization. Another common feature is their algorithmic organization: an RQ factorization followed by a singular value decomposition and the solution of an overdetermined set (or sets) of equations. The schemes assume that the underlying system has an output-error structure and that a measurable input sequence is available. The latter characteristic indicates that both schemes are versions of the MIMO Output-Error State Space model identification (MOESP) approach. The first algorithm is denoted in particular as the (elementary MOESP scheme)...

Subspace model identification-Part 1. The output-error state-space model identification class of algorithms

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L2 Gain And Passivity Techniques In Nonlinear Control

This paper provides a survey of results in linear parameter-varying (LPV) control that have been validated by experiments and/or high-fidelity simulations. The LPV controller synthesis techniques employed in the references of this survey are briefly reviewed and compared. The methods are classified into polytopic, linear fractional transformation, and gridding-based techniques and it is reviewed how in each of these approaches, synthesis can be carried out as a convex optimization problem via a finite number of linear matrix inequalities (LMIs) for both parameter-independent and parameter-dependent Lyapunov functions. The literature is categorized with regard to the application, the complexity induced by the controlled system’s dynamic and scheduling orders, as well as the synthesis method. Exemplary cases dealing with specific control design problems are presented in more detail to point control engineers to possible approaches that have been successfully applied. Furthermore, key publications in LPV control are related to application achievements on a timeline.

A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations

This paper presents an explicit solution to the problem of disturbance attenuation with internal stability via full information feedback, state feedback, and dynamic output feedback, respectively, for discrete-time nonlinear systems. The H/sub /spl infin//-control theory is first developed for affine systems and then extended to general nonlinear systems based on the concepts of dissipation inequality, differential game, and LaSalle's invariance principle in discrete time. A substantial difficulty that V(A(x)+B(x)u+E(x)w) [respectively, V(f(x,u,w))] is no longer quadratic in [/sub w//sup u/] arising in the case of discrete-time nonlinear systems has been surmounted in the paper. In the case of a linear system, we show how the results reduce to the well-known ones recently proposed in the literature.

H/sub /spl infin//-control of discrete-time nonlinear systems

This paper addresses a difficult problem of designing a control approach with simple structure to perform attitude tracking maneuver for rigid satellites. The satellite is subject to external disturbance torque and uncertain inertia parameters. An observer-based estimation law is first proposed to reconstruct the uncertain dynamics. It is shown that such estimation can be achieved with zero estimation error after finite time. A proportional–derivative (PD)-type controller including a classical PD control effort and a compensation control part is then presented. The compensation control is designed based on the estimated information, and applied to completely reject the uncertain dynamics. The closed-loop attitude tracking system is governed to be asymptotically stable. Moreover, the control performance can be achieved by tuning control gains in the theoretical framework of classic PD control theory. Simulation and experimental test are carried out to verify the effectiveness of the developed approach.

A Structure Simple Controller for Satellite Attitude Tracking Maneuver

An on-orbit attitude and vibration control experiment has been performed as a part of experiments of the ETS-VI, which was launched by the H-II rocket in August 1994. The purpose is to develop precise attitude control technology for future large spacecraft or large space structures. To this end, we have designed three types of controllers in linear quadratic Gaussian and H 1 frameworks to achieve the robust stability against residual modes and modal parameter errors. The experiments were done at the beginning of 1995, and their feasibility has been proved. The  ight experiment results and the modeling and the controller synthesis methods are reported. Based on the on-orbit results, the capabilities of controllers are compared and discussed.

On-Orbit Robust Control Experiment of Flexible Spacecraft ETS-VI

A new method of robust controller synthesis is introduced which is an extension of robust stabilization to robust stability-degree assignment. This method guarantees a lower bound of stability degree for all uncertainties within a prescribed magnitude band.



The method is applied to the control of four types of flexible structures, namely, colocated beam, non-colocated beam, beam with moving base and large scale satellite model. Excellent performances have been obtained experimentally with respect to the response speed and the robustness.

Robust stability—degree assignment and its applications to the control of flexible structures

http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac2008/data/papers/0443.pdf?origin=publication_detail

Takashi Kida

Papers

On-Orbit Robust Control Experiment of Flexible Spacecraft ETS-VI

Robust stability—degree assignment and its applications to the control of flexible structures

Design and Implementation of Robust Symmetric Attitude Controller for ETS-VIII Spacecraft

Optimality of Direct Velocity and Displacement Feedback for Large Space Structures with Collocated Sensors and Actuators

Synthesis of a linearly interpolated gain scheduling controller for large flexible spacecraft ETS-VIII