A Matrix Pencil Formulation for Nonconservative Realization of Scaling-Based Controllers for Feedforward-Like Systems

• 成果类型: Article; Proceedings Paper
• 署名作者: Krishnamurthy, Prashanth; Khorrami, Farshad
• 署名单位: New York University; New York University Tandon School of Engineering
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3274915
• 发表日期: 2024
• 页码: 261-274
• 关键词: Linear matrix inequalities; Eigenvalues and eigenfunctions; control design; nonlinear dynamical systems; Upper bound; Symmetric matrices; observers; Matrix methods; Nonlinear systems; output feedback and observer; Robust control

摘要

We develop a general matrix pencil-based approach for efficient nonconservative realization of dual dynamic high-gain scaling-based control designs for a class of uncertain feedforward-like nonlinear systems. It is shown that the control design can be cast into a set of matrix pencil-based subproblems capturing the detailed system structure, state dependence structure of uncertain terms, and precise roles of design freedoms in the context of detailed structures of Lyapunov inequalities. The design freedoms in the dynamic high-gain scaling-based design are extracted in terms of eigenvalues of the formulated matrix pencil structures. It is seen that the proposed matrix pencil-based approach greatly reduces design conservatism and algebraic complexity compared with prior results on dynamic high-gain scaling-based control designs.