The approximate optimal control problem via measurement feedback for input-affine nonlinear systems is considered in this paper. In particular, a systematic method is provided for constructing stabilising output feedbacks that approximate - with the optimality loss explicitly quantifiable - the solution of the optimal control problem by requiring only the solution of algebraic equations. In fact, the combination of a classical state estimate with an additional dynamic extension permits the construction of a dynamic control law, without involving the solution of any partial differential equation or inequality. Moreover, provided a given sufficient condition is satisfied, the dynamic control law is guaranteed to be (locally) stabilising. A numerical example illustrating the method is provided. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Mylvaganam, T., & Sassano, M. (2017). Approximate Optimal Control via Measurement Feedback for a Class of Nonlinear Systems. In IFAC-PapersOnLine (pp.15391-15396). PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS : ELSEVIER SCIENCE BV [10.1016/j.ifacol.2017.08.1862].

Approximate Optimal Control via Measurement Feedback for a Class of Nonlinear Systems

Sassano M.
2017

Abstract

The approximate optimal control problem via measurement feedback for input-affine nonlinear systems is considered in this paper. In particular, a systematic method is provided for constructing stabilising output feedbacks that approximate - with the optimality loss explicitly quantifiable - the solution of the optimal control problem by requiring only the solution of algebraic equations. In fact, the combination of a classical state estimate with an additional dynamic extension permits the construction of a dynamic control law, without involving the solution of any partial differential equation or inequality. Moreover, provided a given sufficient condition is satisfied, the dynamic control law is guaranteed to be (locally) stabilising. A numerical example illustrating the method is provided. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
IFAC World congress
Rilevanza internazionale
Settore ING-INF/04 - Automatica
English
Dynamic otuput feedback; nonlinear control systems; control system design; feedback stabilization; feedback control methods
Intervento a convegno
Mylvaganam, T., & Sassano, M. (2017). Approximate Optimal Control via Measurement Feedback for a Class of Nonlinear Systems. In IFAC-PapersOnLine (pp.15391-15396). PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS : ELSEVIER SCIENCE BV [10.1016/j.ifacol.2017.08.1862].
Mylvaganam, T; Sassano, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/200963
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