Journal ArticleDOI
Design of time-variable multivariable systems by decoupling and by the inverse
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In this article, conditions under which decoupling is possible are formulated and the matrices effecting decoupledness are given, and the inverse of a general time-variable multivariable system is also determined.Abstract:
System decoupling by state variable feedback is demonstrated for the time-variable case. Conditions under which decoupling is possible are formulated and the matrices effecting decoupling are given. The inverse of a general time-variable multivariable system is also determined. By applying this inverse a new synthesis method is developed.read more
Citations
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Journal ArticleDOI
The structure of decoupled non-linear systems
TL;DR: A sufficient condition for observability of non-linear time-variable systems is introduced which serves as a basis for the analysis of the structure of the decoupled closed-loop system.
Journal ArticleDOI
Survey paper: A survey of some recent results in linear multivariable feedback theory
TL;DR: In this paper, a review of multivariable feedback system design techniques from the frequency-response viewpoint is given, including a comparison of the advantages and disadvantages of each type of design method, including Non-Interacting Control, Modal Control, Optimal Control, Commutative Control, The Inverse Nyquist Array and The Characteristic Locus.
Journal ArticleDOI
Decoupling of a Two-Axis Robotic Manipulator Using Nonlinear State Feedback: A Case Study
S.J. Fournier,R.J. Schilling +1 more
TL;DR: In this paper, a case study that illustrates the use of nonlinear state feed back to decouple the control of a two-axis polar-coordinate robotic manipulator is presented.
Reentry Vehicle Flight Controls Design Guidelines: Dynamic Inversion
TL;DR: In this article, the authors address issues in developing a flight control design for vehicles operating across a broad flight regime and with highly nonlinear physical descriptions of motion, addressing the need for reentry vehicles that could operate through reentry from space to controlled touchdown on Earth.
Journal ArticleDOI
On sampling without loss of observability/controllability
TL;DR: This paper presents a (nonequidistant, periodic) sampling pattern, which has the property that the sample and zero-order hold operations, applied to any observable and controllable continuous-time system of order not exceeding N, results in a discrete- time system which is also observable and controlled.
References
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Journal ArticleDOI
Decoupling in the design and synthesis of multivariable control systems
Peter Falb,William A. Wolovich +1 more
TL;DR: The characterization of φ of all feedback matrices which decouple the system is characterized to determine the number of closed-loop poles which can be specified for the decoupled system and to develop a synthesis technique for the realization of desired closed- loop pole configurations.
Journal ArticleDOI
The synthesis of linear multivariable systems by state-variable feedback
TL;DR: In this article, a design procedure for the compensation of linear multivariable-feedback systems is presented, where the design objectives which are noninteraction and low-order compensators are obtained by state variable feedback.
Journal ArticleDOI
Poles, zeros, and feedback: State space interpretation
TL;DR: In this article, a new expression for the transfer function of a system described by a set of first-order differential equations is given; this expression not only relates the poles and zeros to the eigenvalues of matrices but also makes it possible to compute the transfer functions without matrix inversion.
Journal ArticleDOI
Properties and application of inverse systems
TL;DR: In this paper, the inverse system introduced by Brockett is generalized to the time-variable case and used to solve the problem of generating an input to a linear system so as to produce a prescribed output.
Journal ArticleDOI
On the decoupling of multivariable systems
Peter Falb,William A. Wolovich +1 more
TL;DR: Necessary and sufficient conditions for decoupling time-invariant linear multivariable system by state variable feedback are discussed, discussing transfer matrix consequences.
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