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.
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.
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.
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.
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.
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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