Suboptimal control for nonlinear systems: a successive approximation approach |
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Authors: | Gong-You Tang |
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Affiliation: | College of Information Science and Engineering, Ocean University of China, Qingdao 266071, China |
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Abstract: | This paper presents a successive approximation approach (SAA) designing optimal controllers for a class of nonlinear systems with a quadratic performance index. By using the SAA, the nonlinear optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems. The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoint vector sequence. By using the finite-step iteration of the nonlinear compensation sequence, we can obtain a suboptimal control law. Simulation examples are employed to test the validity of the SAA. |
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Keywords: | Nonlinear systems Optimal control Suboptimal control SAA |
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