Journal ArticleDOI
Output feedback sliding mode design for linear uncertain systems
S.K. Bag,Sarah K. Spurgeon,Christopher Edwards +2 more
- Vol. 144, Iss: 3, pp 209-216
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TLDR
In this paper, the authors considered the development of output feedback sliding mode controllers for a class of uncertain linear systems and considered the presence of stable invariant zeros and matched uncertainty.Abstract:
The paper considers the development of output feedback sliding mode controllers for a class of uncertain linear systems. The presence of stable invariant zeros and matched uncertainty is incorporated in the design procedure. The sufficient conditions for developing static output feedback sliding mode controllers are first reviewed. If the so-called ‘Kimura–Davison’ conditions are not satisfied, it is shown that it may not be possible to determine a static output feedback sliding mode controller. In this case, dynamic output feedback sliding mode control is necessary. It is shown that both the switching surface design problem for the static case and the switching surface and compensator design for the dynamic case may be formulated as a static output feedback problem for particular system triples. A robust design procedure is used to solve this static output feedback problem to minimise the effects of any unmatched uncertainty which will affect the reduced order sliding motion in many practical systems. A controller is synthesised to tolerate matched model uncertainty. The measurements of robustness are described. A numerical example demonstrates the procedure.read more
Citations
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Journal ArticleDOI
Analysis and design of integral sliding manifolds for systems with unmatched perturbations
Fernando Castaños,Leonid Fridman +1 more
TL;DR: This note shows how to select the projection matrix in such a way that the euclidean norm of the resulting perturbation is minimal, which is particularly useful if integral sliding-mode control is to be combined with other methods to further robustify against unmatched perturbations.
Journal ArticleDOI
Adaptive finite-time control of nonlinear systems with parametric uncertainty
TL;DR: To achieve finite-time stabilization, a constructive control design approach is proposed by following backstepping methodology, and an adaptive finite- time control law is obtained in the form of continuous time-invariant feedback.
Journal ArticleDOI
Dynamic Sliding Mode Control for a Class of Systems with Mismatched Uncertainty
TL;DR: A robust stabilization problem for a class of uncertain systems is studied using sliding mode techniques and a variable structure controller is proposed to stabilize the system by exploiting the estimated state and system output.
Journal ArticleDOI
Observer-based sliding mode control for nonlinear state-delayed systems
TL;DR: It is shown that the proposed control scheme ensures the reachability of the sliding surfaces in both the state estimate space and the estimation error space.
Journal ArticleDOI
Robust observer design for Itô stochastic time-delay systems via sliding mode control
Yugang Niu,Daniel W. C. Ho +1 more
TL;DR: It is shown that the sliding mode in the estimation space can be attained in finite time and the sufficient condition for the asymptotic stability (in probability) of the overall closed-loop stochastic system is derived.
References
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Applied Nonlinear Control
TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
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The algebraic eigenvalue problem
TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.
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Sliding Modes in Control and Optimization
TL;DR: The theory and practical application of Lyapunov's Theorem, a method for the Study of Non-linear High-Gain Systems, are studied.
Journal ArticleDOI
Sliding mode stabilization of uncertain systems using only output information
TL;DR: In this article, a practical procedure for synthesizing output feedback controllers for uncertain systems based on sliding mode concepts is presented, which guarantees attainment of a sliding mode despite the presence of uncertainty requires no additional assumptions.
Journal ArticleDOI
Dynamic output feedback variable structure control for system stabilization
Bill Diong,J.V. Medanic +1 more
TL;DR: Simplex type dynamic output feedback variable structure control for stabilizing multivariable linear time-invariant plants is analyzed in this article, where two types of controllers are considered; a compensator type and an observer type.