This detailed study aims to present the most recent and advanced research outputs and promote the research of polynomial fuzzy-model-based control (PFMB) systems.

A PFMB control system offers a general framework describing a nonlinear system and controller connected in a closed loop, which can be found in many domestic and industrial applications. One example of a nonlinear system is a robot hand. A fuzzy controller is employed to control the hand’s movement to achieve a specific task.

The monograph provides theoretical support as well as providing a research direction for postgraduate students and fellow researchers. It summarises the recent contributions made by Dr Lam to the stability analysis of PFMB control systems which has drawn much attention from researchers in the fuzzy control community but very limited results can be found in the literature.

The monograph starts with a detailed and comprehensive introduction which covers the development of fuzzy control theory. The preliminary section offers the basic and essential background to support the research on PFMB control systems. The study discusses the advanced PFMB control theory including techniques of stability analysis, control methodologies and newly developed mathematical tools in support of the system analysis and control synthesis.

The highlight of this study is the membership-function-dependent techniques developed by Dr Lam since 2005 that the membership functions can be considered as a fingerprint of nonlinear system, which characterise the system’s nonlinearity and uncertainty.

In the literature, the membership functions are rarely considered in the system analysis and control design which explains the reason why the existing results are conservative. This monograph proposes the concept of partially/imperfectly matched premises and take the information of membership functions into account for relaxing the stability analysis results.

These techniques and concepts bring the analysis and design of PFMB control systems up to the next level, demonstrating greater design flexibility, stronger robustness property and more relaxed stability/stabilisation analysis results.

To view the monograph please follow the link above, for further information please contact Dr H.K. Lam.