论文信息 - Controllability and motion planning for linear delay systems with an application to a flexible rod

Controllability and motion planning for linear delay systems with an application to a flexible rod

The wave equation describing the torsional behavior of a flexible rod with a mass is interpreted as a linear delay system. Controllability issues are discussed. A tracking problem is solved and illustrated by some simulations. A stabilizing feedback as well as an asymptotic observer are also proposed.

[1] Generalized sliding modes for manifold control of distributed parameter systems , 1994 .

[2] V. Komornik. Exact Controllability and Stabilization: The Multiplier Method , 1995 .

[3] A. Stephen Morse. Ring models for delay-differential systems , 1976, Autom..

[4] Michel Fliess,et al. Interpretation and Comparison of Various Types of Delay System Controllabilities 1 , 1995 .

[5] Eduardo Sontag. Linear Systems over Commutative Rings. A Survey , 1976 .

[6] R. Brayton. Nonlinear oscillations in a distributed network , 1967 .

[7] M. Fliess. Some basic structural properties of generalized linear systems , 1991 .

[8] D. W. Krumme,et al. Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations , 1968 .

[9] A. G. Butkovskiy. Structural theory of distributed systems , 1983 .

[10] J. Mikusiński. Operational Calculus , 1959 .

[11] Richard Bellman,et al. Differential-Difference Equations , 1967 .

[12] Ö. Morgül,et al. On the stabilization of a cable with a tip mass , 1994, IEEE Trans. Autom. Control..

[13] John W. Bunce,et al. Linear Systems over Commutative Rings , 1986 .

[14] Catherine I. Byrnes. On the Control of Certain Deterministic, Infinite-Dimensional by Algebro-Geometric Techniques , 1978 .

[15] M. Fliess,et al. Flatness and defect of non-linear systems: introductory theory and examples , 1995 .