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Original Article

On near optimal neural control of multiple-input nonlinear systems

Dingguo ChenContact Information, Jiaben YangContact Information and Ronald R. MohlerContact Information

(1)  Siemens Power Transmission and Distribution Inc., 10900 Wayzata Blvd., Minnetonka, MN 55305, USA
(2)  Department of Automation, Tsinghua University, Beijing, 100084, People’s Republic of China
(3)  Department of Electrical and Computer Engineering, Oregon State University, Corvallis, OR 97330, USA

Received: 24 January 2007  Accepted: 24 April 2007  Published online: 30 May 2007

Abstract  It has been a common consensus that general techniques for stabilization of nonlinear systems are available only for some special classes of nonlinear systems. Control design for nonlinear systems with uncertain components is usually carried out on a per system basis, especially when physical control constraints, and certain control performance measures such as optimum time control are imposed. Elegant adaptive control techniques are difficult to apply to this type of problems. A new neural network based control design is proposed and presented in this paper to deal with a special class of uncertain nonlinear systems with multiple inputs. The desired system dynamics are analyzed and utilized in the process of the proposed intelligent control design. The theoretical results are provided to justify the design procedures. The simulation study is conducted on a second-order bilinear system with two inputs and uncertainties on its parameters. The simulation results indicate that the proposed design approach is effective.

Keywords  Uncertain nonlinear system - Multiple input nonlinear system - Neural network - Optimal control - Neural control - Switching manifold


Contact Information Dingguo Chen (Corresponding author)
Email: dingguochen@ieee.org

Contact Information Jiaben Yang
Email: yjb-dau@tsinghua.edu.cn

Contact Information Ronald R. Mohler
Email: ronamoh@hotmail.com
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