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On near optimal neural control of multiple-input nonlinear systems
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Original Article
On near optimal neural control of multiple-input nonlinear systems
Dingguo Chen1 , Jiaben Yang2 and Ronald R. Mohler3 
| (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
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