Sliding Mode Control II

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Sliding Mode Control II
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Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

An LMI Approach for Designing Sliding Mode Observers

Authors:

Chee Pin Tan, Christopher Edwards,

Volume: 1, Page 2587 Paper number 1145

Abstract:

This paper presents a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities. The objective is to exploit the degrees of freedom available in the design which have hitherto been ignored because of the lack of a tractable solution framework. The relationship between the linear component of the sliding mode observer and a particular sub-optimal observer arising from classical Linear Quadratic Gaussian theory is demonstrated. This helps motivate how the design weighting matrices inherent in the method may be chosen in practice.

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Design Of Sliding-Mode Observers And Filters For Nonlinear Dynamic Systems

Authors:

Angelo Alessandri,

Volume: 1, Page 2593 Paper number 1112

Abstract:

The problem of state estimation for a class of nonlinear systems with Lipschitz nonlinearities is addressed using sliding-mode estimators. Stability conditions have been found to guarantee convergence if no noise affects the system and the channel equations, and non-divergence in the presence of additive bounded disturbances. The design of such estimators is based on the solution of an algebraic Riccati equation that is difficult to solve. A method is presented in order to find a suitable solution that optimizes the performance. Successful simulations have been performed to illustrate the effectiveness of the proposed design method.

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Estimation Based Discrete-Time Sliding Control Of Uncertain Nonlinear Systems In Discrete Strict Feedback Form

Authors:

Ibrahim Haskara, Ümit Özgüner,

Volume: 1, Page 2599 Paper number 93

Abstract:

In this paper, an on-line discrete-time disturbance estimation method is presented. The proposed method extends the static one-step delay disturbance estimation method by allowing both the estimation accuracy and the error convergence dynamics to be adjusted by the designer. The use of the method in a recursive tracking controller design of an uncertain nonlinear system in discrete strict feedback form and in a system matrix identification problem are examined. A numerical simulation study is also provided.

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Invariant Sliding Sectors for Discrete Sliding Mode Control

Authors:

Xinghuo Yu, Shuanghe Yu,

Volume: 1, Page 2605 Paper number 1079

Abstract:

In this paper, we propose a new concept, "invariant sliding sector", for the design of discrete sliding mode control (DSMC). We will first discuss how to construct the first order invariant sliding sectors for the second order DSMC system design. We will then show how to extend this first order invariant sliding sector concept for higher order DSMC systems by developing a recursive structure built on a set of nested first order invariant sliding sectors. Last, we will discuss the applicability of the invariant sliding sectors for the design of higher order DSMC systems.

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Decentralized Hybrid Traffic Network Routing Using Optimal Sliding Modes

Authors:

Jia Lei, Umit Ozguner,

Volume: 1, Page 2607 Paper number 1966

Abstract:

In this paper, three hybrid network routing strategies using Optimal Sliding Modes method are presented. First a two-road hybrid routing strategy using optimal sliding modes is proposed. In this method, a finite state machine is defined and the Optimal Sliding Mode method is used to find the optimal routing under different states. Then the hybrid method is extended to large networks by three approaches: centralized, decentralized and partial-decentralized. A comparison of these three approaches is also given.

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Synthesized Sliding Mode and Time-Delay Control for a Class of Matched and Unmatched Uncertain Systems

Authors:

Jian-Xin Xu, Wen-Jun Cao,

Volume: 1, Page 2609 Paper number 1363

Abstract:

In this paper, the Sliding Mode Control (SMC) is incorporated with Time-Delay Control (TDC) during sliding phase to reduce the switching gain. TDC identifies the unknown system dynamics and disturbance directly every delay-time. For a system with a lumped perturbation which is relatively slow varying with respect to the sampling interval, a much low switching gain can be used if a reasonably good estimate of the derivative of system state can be obtained using the past information, hence chattering can be reduced or eliminated while retaining the tracking accuracy. This paper considers both matched and unmatched uncertainties. It is an extension of [1].

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