Disturbance Rejection

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Author Index
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Direct Controller Order Reduction By Identification In Closed Loop Applied To An Active Suspension

Authors:

Ioan Dore Landau, Aurelian Constantinescu, Alireza Karimi,

Volume: 1, Page 4479 Paper number 1281

Abstract:

After briefly reviewing some algorithms for direct controller order reduction by identification in closed loop using simulated and real data, validation tests are proposed. Then the methodology is illustrated by its application to controller order reduction for an active suspension system. Experimental results are presented.

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Robust Broadband Control of Acoustic Duct

Authors:

Atul G. Kelkar, Hemanshu R. Pota,

Volume: 1, Page 4485 Paper number 1657

Abstract:

Passivity-based robust controller design methodology is presented for a broad-band control of acoustic duct. Controller design is based on finite-dimensional approximation and is shown to be robust to unmodeled dynamics and parametric uncertainties. The acoustic duct model being inherently non-passive, passification techniques are used to render the system passive. The control design methodology exploits inherent robustness of passivity-based controllers and selective mode attenuation capability of resonant mode controllers. The resulting controller is low-order, robust, broadband, and has guaranteed stability.

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Modelling And Control For Vibration Suppression In A Large Flexible Structure With Jet Thrusters And Piezoactuators

Authors:

Francesco Casella, Arturo Locatelli, Nicola Schiavoni,

Volume: 1, Page 4491 Paper number 1068

Abstract:

Active control of vibrations is a fundamental subject in the field of large flexible space structures. This paper discusses the problem of modelling and simulation of a laboratory structure equipped with both air jet thrusters and piezoactuators, which is not a trivial issue in the latter case, and proposes four different control systems, both centralised and decentralised, using either or both kind of actuators, in order to exploit their specific features at their best. Some experimental results are also presented.

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A Design of Low-Order Active Noise Controllers in a Small Cavity

Authors:

Tae-Jin Chung, Chan-Soo Chung,

Volume: 1, Page 4500 Paper number 1628

Abstract:

In this paper we designed low-order controllers for active control of acoustic noise in a small cavity. The conventional robust control synthesis methods usually give controller with the same or higher order than the generalized plants, and these controllers are difficult to handle and to be implemented. Any implementation error would make the performance of the system degraded, or even make the closed loop system unstable. Therefore, it is necessary, if possible, to find a lower order controller with a similar performance of a full order controller. We use a convex optimization algorithm with a nonlinear equality constraint to find a controller with predetermined order. To verify the performances, the designed controllers are implemented with TMS320C31 DSP, and their performances are compared with that of the full order controller. The results show that the low order controllers have almost same performances as the full order one. Therefore, the designed low-order controller could be used more efficiently in practice.

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Solving Signal Decoupling Problems Through Self-Bounded Controlled Invariants

Authors:

Federico Barbagli, Giovanni Marro, Domenico Prattichizzo,

Volume: 1, Page 4506 Paper number 2112

Abstract:

This paper deals with decoupling problems of unknown, measurable and previewed signals. First the well known solutions of unknown and measurable disturbance decoupling problems are recalled. Then new necessary and sufficient constructive conditions for the previewed signal decoupling problem are proposed. The discrete time case is considered. In this domain previewing a signal by p steps means that the k-th sample of the signal to be decoupled is known p steps in advance. The main result is to prove that the stability condition for all of the mentioned decoupling problems does not change, i.e. the resolving subspace to be stabilized is the same independently of the type of signal to be decoupled, being it completely unknown (disturbance), measured or previewed. The problem has been studied through self-bounded controlled invariants, thus minimizing the dimension of the resolving subspace which corresponds to the infimum of a lattice. Note that reduced dimension on resolving controlled invariant subspace yields to reduce the order of the controller units.

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A Unified Algorithmic Setting For Signal-Decoupling Compensators And Unknown-Input Observers

Authors:

Giovanni Marro, Domenico Prattichizzo, Elena Zattoni,

Volume: 1, Page 4512 Paper number 1488

Abstract:

A standard geometric-type environment, where only the very basic tools of the geometric approach are used (those supported by well-settled and well-tested computational aids) enables the development of algorithms for numerous control and estimation problems in the discrete-time case. These are: measurable or previewed signal localization problems, perfect or almost perfect tracking (right inversion), and, by duality, perfect or almost perfect unknown-input estimation with possible postknowledge and input reconstruction (left inversion). It is also shown that the devices obtained (compensator and observer), that may be noncausal when specific stability requirements are not met, can be implemented as dynamical systems including finite-horizon convolutors or finite impulse response (FIR) systems.

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Equivalence of Disturbance Observer Structures for Linear Systems

Authors:

Erwin Schrijver, Johannes Van Dijk, Henk Nijmeijer,

Volume: 1, Page 4518 Paper number 9090

Abstract:

Several techniques exists to incorporate disturbance rejection requirements in a linear controller design. Contrary to, for example the H-infinity controller design technique where only one degree of freedom is available to obtain both disturbance rejection and performance, a Disturbance Observer adds a degree of freedom, thereby enabling a separate design of the disturbance rejection and the performance. There are many ways to design,implement and represent disturbance observers. In this paper, we focus on two design methodologies and their corresponding representations. It can be shown that, in case the (SISO) plant is linear, the methodologies result in an equivalent disturbance observer. In this paper, we will use this equivalence to relate some properties well-known for one methodology to the other methodology, and vice versa.

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