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Direct Gradient Descent Control as a Dynamic Feedback Control for Linear System

Naiborhu, J., and Nababan, S.M., and Saragih R., and Pranoto. I., (2006) Direct Gradient Descent Control as a Dynamic Feedback Control for Linear System. Bulletin of the Malaysian Mathematical Sciences Society, 29 (2). pp. 131-146. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p5.pdf

Affiliations

Institut Teknologi Bandung, Dept. of Mathematics

Abstract

In this paper we study about stabilization of linear control system by using the dynamic state/output feedback control. We can prove that the dynamic state feedback control exists if the static state feedback control exists. But the existence of the dynamic output feedback control can not be guaranteed only by the existence of static feedback control, passive condition is needed. By applying the direct gradient descent control as a dynamic state feedback control to linear system, we get a condition for guaranteing the asymptotic stability of the system.


2000 Mathematics Subject Classification:93D05, 93D15, 49J50

Item Type:Journal
Keywords:Dynamic feedback control, direct gradient descent control.
Subjects:Q Science, Computer Science
ID Code:1442

[1] C.I. Byrnes, A. Isidori and J.C. Willems, Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems, IEEE Trans. Auto. Contr. 36 (1991), 1228-1140.

[2] J.M. Coron and L. Praly, Adding an integrator for the stabilization problem, Systems & Control Letters 17 (1991), 89-104.

[3] A. Isidori, Nonlinear Control Systems, Third Edition, Springer-Verlag Berlin, Heidelberg, 1995.

[4] M. Krstic, I. Kanellakopoulos and P. Kokotovic, Nonlinear and Adaptive Control Design, John Wiley, 1995.

[5] H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, Wiley-Interscience, New York, 1972.

[6] J. Naihorhu and K. Shimizu, Stabilization of single input nonlinear control systems by gradient descent control algorithm, in Theory and Practice of Control and Systems, Proceeding of IEEE Mediterranean Conference on Control and Systems 1998 (A. Tornambe, G. Conte and A. M. Peron (eds)), World Scientific, 1998, 544—549.

[7] J. Naiborhu and K. Shimizu, Direct gradient descent control for global stabilization of general nonlinear control systems, IEICE Trans. Fundamental E83-A(3) (2000), 516—523.

[8] R. Sepulchre, M. Jankovic and P. Kokotovic, Constructive Nonlinear Control, Springer-Verlag, London, 1997.

[9] J.J.E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, New Jersey, 1991.

[10] E.D. Sontag, Mathematical Control Theory, Deterministic Finite Dimensional Systems, Springer-Verlag, New York, 1990.

[11] J. Tsinias, Sufficient Lyapunov-like conditions for stabilization, Math. Control Signals Systems 2(1989) 343-357.

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