Parameterized regulator synthesis for bimodal linear systems based on bilinear matrix inequalities.
Parametric control to quasi-linear systems based on dynamic compensator and multi-objective optimization
This paper considers a parametric approach for quasi-linear systems by using dynamic compensator and multi-objective optimization. Based on the solutions of generalized Sylvester equations, we establish the more general parametric forms of dynamic compensator and the left and right closed-loop eigenvector matrices, and give two groups of arbitrary parameters. By using the parametric approach, the closed-loop system is converted into a linear constant one with a desired eigenstructure. Meanwhile,...
Parametrization and reliable extraction of proper compensators
The polynomial matrix equation is solved for those and that give proper transfer functions characterizing a subclass of compensators, contained in the class whose arbitrary element can be cascaded to a plant with the given strictly...
Partial decoupling of non-minimum phase systems by constant state feedback
Partial differential inclusions governing feedback controls.
Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback
Partial disturbance decoupling problems are equivalent to zeroing the first, say Markov parameters of the closed-loop system between the disturbance and controlled output. One might consider this problem when it is not possible to zero all the Markov parameters which is known as exact disturbance decoupling. Structured transfer matrix systems are linear systems given by transfer matrices of which the infinite zero order of each nonzero entry is known, while the associated infinite gains are unknown...
Patterns and Waves Generated by a Subcritical Instability in Systems with a Conservation Law under the Action of a Global Feedback Control
A global feedback control of a system that exhibits a subcritical monotonic instability at a non-zero wavenumber (short-wave, or Turing instability) in the presence of a zero mode is investigated using a Ginzburg-Landau equation coupled to an equation for the zero mode. The method based on a variational principle is applied for the derivation of a low-dimensional evolution model. In the framework of this model the investigation of the system’s dynamics...
Periodicity of solutions to delayed dynamic equations with feedback control.
Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls.
Permanence for a discrete model with feedback control and delay.
Permanence of a discrete -species Schoener competition system with time delays and feedback controls.
Permanence of a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls.
Persistent bounded disturbance rejection for uncertain time-delay systems
Phase portraits of planar control-affine systems
Pole assignment by feedback control of the second order coupled singular distributed parameter systems
Polynomial controller design based on flatness
By the use of flatness the problem of pole placement, which consists in imposing closed loop system dynamics can be related to tracking. Polynomial controllers for finite-dimensional linear systems can then be designed with very natural choices for high level parameters design. This design leads to a Bezout equation which is independent of the closed loop dynamics but depends only on the system model.
Positivity and stabilization of 2D linear systems
The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.
Proper feedback compensators for a strictly proper plant by polynomial equations
We review the polynomial matrix compensator equation X_lD_r + Y_lN_r = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (N_r, D_r) is given by the strictly proper rational plant right matrix-fraction P = N_rD_r, (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (X_l, Y_l) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction...