Controlling Chaotic Motions of a Nonlinear Aeroelastic System Using Adaptive Control Augmented with Time Delay

Abstract

In this paper the application of an adaptive reference free time delay-feedback controller to a chaotic nonlinear aeroelastic system will be examined. Two degree-of-freedom aeroelastic systems are subjected to steady and unsteady aerodynamic loads will be considered. The use and effectiveness of plunging and pitching displacements and their rates as feedback signals for suppressing the chaotic dynamics of the wing will be evaluated. In addition to these simulations, a study of the controller parameters will be presented for each of the above mentioned feedback signals.

Robust Output Regulation Of Uncertain Chaotic Systems With Input Magnitude And Rate Constraints

“…Consider the problem of robust output regulation of a continuous time-invariant nonlinear system with parametric uncertainties described as (1):…”

“…In equations (1) and 2, ∈ ℝ , ∈ ℝ denote the state vectors, , ∈ ℝ the output vectors, ∈ ℝ the control vector, ∈ ℝ the vector of parameters which is known only with a certain degree of accuracy, ( ) ∈ ℝ × , ∈ ℝ × the output matrices, ( ) ∈ ℝ × the control matrix, , two smooth nonlinear functions, and ̇= / .…”

Control of aeroelastic characteristics of cantilever wing with smart materials using state-dependent Riccati equation method

“…The electromechanical coupling is achieved with a piezoelectric element across a resistive load. Alstrom et al (2010) examined the application of an adaptive reference-free feedback controller to a nonlinear aeroelastic system subjected to steady aerodynamic loads Lin et al (1996). and Lazarus et al (1995, 1997) have investigated a wing or wing section model.…”

Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling

“…In [17] Li et al designed a suboptimal controller using the state-dependent Riccati equation considering cubic nonlinearity. Adaptive filters cut-off frequency with feedback gain has also been used to suppress limit cycles and chaotic motions [18]. The authors investigated an augmented controller with time delay parameter to determine regions of instabilities in closed-loop configurations.…”