Digital control of nonlinear systems: optimal linearisation-based digital redesign approach

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Digital control of nonlinear systems: optimal linearisation-based digital redesign approach

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Published

A new digital redesign technique for nonlinear systems based on the new stabilisable optimal linear model of the nonlinear system is proposed. The term digital redesign herein involves the process of converting a pre-designed analogue state-feedback controller into an equivalent digital one, in the state-matching sense. A constructive digital redesign algorithm is formulated in terms of bilinear and linear matrix inequalities. It is shown that the proposed methodology achieves Lagrange stability of the nonlinear system controlled by the digitally redesigned controller. An illustrative example is presented to demonstrate the effectiveness of the proposed method.

Inspec keywords: state feedback; control system synthesis; linear matrix inequalities; stability; nonlinear control systems; optimal control; discrete systems

Other keywords: Lagrange stability; bilinear matrix inequalities; constructive digital redesign algorithm; stabilisable optimal linear model; optimal linearisation-based digital redesign approach; digital control; state-matching; pre-designed analogue state-feedback controller; nonlinear systems; linear matrix inequalities

Subjects: Control system analysis and synthesis methods; Discrete control systems; Optimal control; Stability in control theory; Algebra; Nonlinear control systems

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