A state-of-the-art review on various identification schemes proposed for the Hammerstein, Wiener, and Volterra systems is presented with respect to the special problems arising in the identification of unknown nonlinear systems. Past and recent developments in the field of nonlinear system identification, parameter estimation, and nonlinear control schemes along with the nonlinearity issues are also deeply investigated. A comprehensive analysis on various parameter estimation approaches and nonlinear control laws are made adding credit to the noteworthy contributions, constructive arguments, and remarkable breakthroughs of researchers in various research fields. The application of most popular nonlinear control strategies for many nonlinear systems in the existing literature are presented spotlighting their merits and major shortcomings. The challenges faced in the nonlinear control field and their emergences to future directions are projected.

中文翻译：

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非线性物理系统的过程建模、识别方法和控制方案——综合回顾

针对未知非线性系统识别中出现的特殊问题，对为 Hammerstein、Wiener 和 Volterra 系统提出的各种识别方案进行了最新评论。还深入研究了非线性系统识别、参数估计和非线性控制方案以及非线性问题领域的过去和最近的发展。对各种参数估计方法和非线性控制律的综合分析为各个研究领域的研究人员的显着贡献、建设性论点和显着突破增添了荣誉。介绍了现有文献中许多非线性系统最流行的非线性控制策略的应用，重点介绍了它们的优点和主要缺点。