Filtering and control for wide bandwidth noise and ‘nearly’ linear systems

2006 ◽  
pp. 201-213
Author(s):  
H. J. Kushner ◽  
W. Runggaldier
Keyword(s):  
Linear Systems ◽  
Wide Bandwidth ◽  
And Control

scholarly journals Joint Identification and Control in Hybrid Linear Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 1084-1089
Author(s):  
Christoforos Somarakis ◽  
Ion Matei ◽  
Maksym Zhenirovskyy ◽  
Johan de Kleer ◽  
Souma Chowdhury ◽  
...  
Keyword(s):  
Linear Systems ◽  
Joint Identification ◽  
And Control

Sensor blending and Control allocation for non-square linear systems to achieve negative imaginary dynamics

2020 ◽  
Vol 53 (2) ◽  
pp. 4629-4634
Author(s):  
Parijat Bhowmick ◽  
Alexander Lanzon
Keyword(s):  
Linear Systems ◽  
Control Allocation ◽  
And Control

scholarly journals Improved H2 and H¥ conditions for robust analysis and control synthesis of linear systems

2005 ◽  
Vol 16 (4) ◽  
pp. 427-434 ◽  
Author(s):  
Alexandre Trofino ◽  
Daniel F. Coutinho ◽  
Karina A. Barbosa
Keyword(s):  
Linear Systems ◽  
Control Synthesis ◽  
H Infinity ◽  
Stability Performance ◽  
Augmented Space ◽  
Polytopic Uncertainties ◽  
Discrete Time Case ◽  
Performance Conditions ◽  
And Control ◽  
Parameter Dependent

This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

Linear Systems and Control

2019 ◽  
pp. 3-66
Author(s):  
Jitendra R. Raol ◽  
Ramakalyan Ayyagari
Keyword(s):  
Linear Systems ◽  
Systems And Control ◽  
And Control

scholarly journals Manifold Calculus in System Theory and Control—Fundamentals and First-Order Systems

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2092
Author(s):  
Simone Fiori
Keyword(s):  
Control Systems ◽  
Linear Systems ◽  
Linear Control Systems ◽  
First Order ◽  
Curved Manifolds ◽  
Non Linear ◽  
Covariant Derivation ◽  
Non Linear Systems ◽  
And Control

The aim of the present tutorial paper is to recall notions from manifold calculus and to illustrate how these tools prove useful in describing system-theoretic properties. Special emphasis is put on embedded manifold calculus (which is coordinate-free and relies on the embedding of a manifold into a larger ambient space). In addition, we also consider the control of non-linear systems whose states belong to curved manifolds. As a case study, synchronization of non-linear systems by feedback control on smooth manifolds (including Lie groups) is surveyed. Special emphasis is also put on numerical methods to simulate non-linear control systems on curved manifolds. The present tutorial is meant to cover a portion of the mentioned topics, such as first-order systems, but it does not cover topics such as covariant derivation and second-order dynamical systems, which will be covered in a subsequent tutorial paper.

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