On the distinguishability and observer design for single-input single-output continuous-time switched affine systems under bounded disturbances with application to chaos-based modulation

2017 ◽  
Vol 34 ◽  
pp. 49-58 ◽  
Author(s):  
David Gómez-Gutiérrez ◽  
C. Renato Vázquez ◽  
Sergej Čelikovský ◽  
Antonio Ramírez-Treviño ◽  
Bernardino Castillo-Toledo
Keyword(s):  
Continuous Time ◽  
Observer Design ◽  
Affine Systems ◽  
Single Input Single Output ◽  
Single Output ◽  
Bounded Disturbances ◽  
Single Input

scholarly journals Robust Observer for a Class of Nonlinear SISO Dynamical Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
David Rosas ◽  
Joaquin Alvarez ◽  
Patricia Rosas ◽  
Raul Rascon
Keyword(s):  
Dynamic Systems ◽  
Sliding Mode ◽  
Observer Design ◽  
Parameter Uncertainties ◽  
Single Input Single Output ◽  
Single Output ◽  
Equivalent Control ◽  
Bounded Disturbances ◽  
Single Input ◽  
Second Order Sliding Mode

A procedure to design an asymptotically stable second-order sliding mode observer for a class of single input single output (SISO) nonlinear systems in normal form is presented. The observer converges to the system state in spite of the existence of bounded disturbances and parameter uncertainties affecting the system dynamics. At the same time, the observer estimates the disturbances without the use of an additional filter to recover the equivalent control. The observer design is modular; each module of the observer is applied to each equation of state of the plant. Because of this, the proposed observer can be applied to a broader class of dynamic systems. The performance of the observer is illustrated in numerical and experimental form.

REALIZATION PROBLEM FOR POSITIVE CONTINUOUS-TIME SYSTEMS WITH DELAYS

2006 ◽  
Vol 06 (02) ◽  
pp. 289-298 ◽  
Author(s):  
KACZOREK TADEUSZ
Keyword(s):  
Continuous Time ◽  
Sufficient Conditions ◽  
Realization Problem ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Minimal Realizations ◽  
Time Systems ◽  
Time Linear

The realization problem for positive, continuous-time linear single-input, single-output systems with delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for computation of positive minimal realizations is presented and illustrated by an example.

scholarly journals Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics

2005 ◽  
Vol 2005 (3) ◽  
pp. 299-329 ◽  
Author(s):  
M. de la Sen
Keyword(s):  
Continuous Time ◽  
Dead Zone ◽  
Unmodeled Dynamics ◽  
Parameter Estimates ◽  
Specific Class ◽  
Bounded Noise ◽  
Single Input Single Output ◽  
Time Dynamics ◽  
Single Output ◽  
Single Input

This paper deals with the problem of synthesizing a robust adaptive controller for a specific class of single-input single-output (SISO) time-invariant hybrid controlled object (plant) which can operate under bounded disturbances and/or unmodeled dynamics. The hybrid plant dealt with is composed of two coupled subsystems, one of them being of continuous-time type while the other is digital. As a result there are also mixed continuous-time and discrete signals present in the system associated either with the solutions of differential equations which depend at the same time on both discrete-time and continuous-time forcing terms and on generalized difference equations associated with discretized and digital signals. The estimation algorithm is of a continuous-time nature since the plant parameter estimates are updated for all time. It also incorporates a relative adaptation dead-zone as a robust stabilization mechanism which prevents against instability in the presence of a common class of unmodeled dynamics and bounded noise.

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