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1. Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay.

Author

Li, Penghua, Chen, Liping, Wu, Ranchao, Tenreiro Machado, J.A., Lopes, António M., and Yuan, Liguo

Subjects
*ROBUST control, *NONLINEAR systems, *TIME delay systems, *ENGINEERING, *FRACTIONAL calculus
Abstract

Abstract This paper studies the global asymptotic stability of a class of interval fractional-order (FO) nonlinear systems with time-delay. First, a new lemma for the Caputo fractional derivative is presented. It extends the FO Lyapunov direct method allowing the stability analysis and synthesis of FO nonlinear systems with time-delay. Second, by employing FO Razumikhin theorem, a new delay-independent stability criterion, in the form of linear matrix inequality is established for ensuring that a system is globally asymptotically stable. It is shown that the new criterion is simple, easy to use and valid for the FO or integer-order interval neural networks with time-delay. Finally, the feasibility and effectiveness of the proposed scheme are tested with a numerical example. [ABSTRACT FROM AUTHOR]

Published
2018
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2. Design of robust gain-scheduled PI controllers for nonlinear processes

Author

Gao, Jianying and Budman, Hector M.

Subjects
*NONLINEAR statistical models, *MATRICES (Mathematics), *ENGINEERING, *TECHNICAL specifications, *MANUFACTURING processes, *CHEMICAL engineering, *CHEMICAL processes, *CHEMICAL reactions, *CHEMICALS, *PI (The number), *MATHEMATICAL inequalities
Abstract

Abstract: Gain-scheduling has proven to be a successful design methodology in many engineering applications. However, in the absence of a sound theoretical analysis, these designs come with no guarantees of robust stability, performance or even nominal stability of the overall gain-scheduled deign. This paper presents such an analysis for one type of nonlinear gain-scheduled control system based on the process input for nonlinear chemical processes. A methodology is also proposed for the design and optimization of the robust gain-scheduled PI controller. Conditions which guarantee robust stability and performance are formulated as a finite set of linear matrix inequalities (LMIs) and hence, the resulting problem is numerically tractable. Issues of modeling error and input-saturation are explicitly incorporated into the analysis. A simulation study of a nonlinear continuous stirred tank reactor (CSTR) process indicates that this approach can produce efficient sub-optimal robust gain-scheduled controllers. [Copyright &y& Elsevier]

Published
2005
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