Sliding mode functional observers for classes of linear and non-linear systems

Navid Nikraz

    Research output: ThesisDoctoral Thesis

    733 Downloads (Pure)

    Abstract

    [Truncated abstract] In many practical situations the physical state of a system cannot be determined by direct observation. The problem of constructing both state and functions of the states is currently one of the leading topics in Control Engineering. Since the reemergence of the state-space methods to form a direct multivariable approach to linear control systems synthesis and design, a host of controllers now exist to meet the qualitative and quantitative criteria including system stability and optimality. Sliding Mode Control (SMC) has been successfully applied to many practical control problems due to its attractive features such as invariance to matched uncertainties. The characteristic feature of the continuous-time SMC system is that sliding mode occurs on a prescribed manifold, where switching control is employed to maintain the state on the surface. When a sliding mode is realised, the system exhibits some superior robustness properties with respect to external matched uncertainties. Systems with sliding modes have proven to be an efficient tool to control complex high-order nonlinear dynamic plants operating under uncertainty conditions, a common problem for many processes that are in modern control. It is acknowledged that the notion of the sliding mode observer is inherently critical to the field of sliding mode control. Sliding mode state observers have been the focus of research in the field of control for the past decade and their applications have extended to most areas in this field. The concept of the Sliding Mode Functional Observers is an area that is untouched by previous research. This thesis introduces the concept of the Sliding Mode Functional Observer and demonstrates its vast potential in the field of control. It is appreciated that sliding mode observers do have a very important place in the field of control, and in particular motor control. However, it has been discovered that currently one of the major fallbacks of sliding mode
    Original languageEnglish
    QualificationDoctor of Philosophy
    Publication statusUnpublished - 2008

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