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Displaying 21 –
40 of
206
In this paper the design of a time varying switching plane for the sliding mode control of the third order system subject to the velocity and acceleration constraints is considered. Initially the plane passes through the system representative point in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops and remains motionless. The plane parameters (determining angles of inclination and the velocity of its motion) are...
In this work, given a linear multivariable system, the problem of static state feedback realization of dynamic compensators is considered. Necessary and sufficient conditions for the existence of a static state feedback that realizes the dynamic compensator (square or full column rank compensator) are stated in structural terms, i. e., in terms of the zero-pole structure of the compensator, and the eigenvalues and the row image of the controllability matrix of the compensated system. Based on these...
In this paper differential forms and differential algebra are applied to give a new definition of realization for multivariable nonlinear systems consistent with the linear realization theory. Criteria for the existence of realization and the definition of minimal realization are presented. The relations of minimal realization and accessibility and finally the computation of realizations are also discussed in this paper.
In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific state...
The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
The paper represents the first part of a series of
papers on realization theory of switched systems.
Part I presents realization theory of linear switched systems,
Part II presents realization theory of bilinear switched systems.
More precisely, in Part I necessary and sufficient conditions
are formulated for a family of input-output maps to be
realizable by a linear switched system and a characterization
of minimal realizations is presented.
The paper treats two types of switched systems.
The...
This paper is the second part of a series of papers dealing with realization theory of switched systems. The current Part II addresses realization theory of bilinear switched systems. In Part I [Petreczky, ESAIM: COCV, DOI: 10.1051/cocv/2010014] we presented realization theory of linear switched systems. More precisely, in Part II we present necessary and sufficient conditions for a family of input-output maps to be realizable by a bilinear switched system, together with a characterization of minimal...
This paper is the second part of a series of papers dealing with
realization theory of switched systems.
The current Part II addresses realization theory of bilinear switched
systems. In Part I [Petreczky, ESAIM: COCV, DOI: 10.1051/cocv/2010014] we presented realization
theory of linear switched systems.
More precisely, in Part II we present necessary and sufficient conditions
for a family of input-output maps to be
realizable by a bilinear switched system, together with a characterization
of minimal...
The paper represents the first part of a series of
papers on realization theory of switched systems.
Part I presents realization theory of linear switched systems,
Part II presents realization theory of bilinear switched systems.
More precisely, in Part I necessary and sufficient conditions
are formulated for a family of input-output maps to be
realizable by a linear switched system and a characterization
of minimal realizations is presented.
The paper treats two types of switched systems.
The...
Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.
The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.
The receding horizon control strategy for
dynamical systems posed in infinite dimensional spaces is analysed. Its
stabilising property is verified provided control
Lyapunov functionals are used as terminal penalty functions.
For closed loop dissipative systems the terminal penalty can
be chosen as quadratic functional. Applications to the Navier–Stokes
equations, semilinear wave equations and reaction diffusion systems are given.
Currently displaying 21 –
40 of
206