A procedure for designing stabilizing output feedback controllers
A quadratic optimal control problem for a class of linear discrete distributed systems
A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.
A realization problem for positive continuoustime systems with reduced numbers of delays
A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
A real-time identification of continuous linear systems
A reliable synthesis of discrete-time H_∞ control. Part I: basic theorems and J-lossless conjugators
A simple definition of hidden modes, poles and zeros
A simple recursive estimator with on-line orthogonalization of the input sequence
A structural analysis of the pole shifting problem
A theorem on the controllability of pertubated linear control systems
In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.
A unified approach for designing robust linear feedback controllers
A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing...
Actuator fault tolerant control design based on a reconfigurable reference input
The prospective work reported in this paper explores a new approach to enhance the performance of an active fault tolerant control system. The proposed technique is based on a modified recovery/trajectory control system in which a reconfigurable reference input is considered when performance degradation occurs in the system due to faults in actuator dynamics. An added value of this work is to reduce the energy spent to achieve the desired closed-loop performance. This work is justified by the need...
Adaptive control for a jump linear system with quadratic cost
Additional signals in linear discrete-time control systems. I. Additional control signal
Additional signals in linear discrete-time control systems. III. Additional disturbance feedforward
Additionals signals in linear discrete-time control systems. II. Additional feedback signal
Algebraic condition for decomposition of large-scale linear dynamic systems
The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization of the...
Algebraic methods in discrete linear estimation
Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.
This paper deals with the stabilization of the linear time-invariant finite dimensional control problem specified by the following linear spaces and subspaces on C: χ (state space) = χ* ⊕ χd, U (input space) = U1 ⊕ U2, Y (output space) = Y1 + Y2, together with the linear mappings: Qs = χ x U x [0,t} --> χ associated with the evolution equation of the C0-semigroup S(t) generated by the matrices, of real and complex entries A belonging to L(χ,χ) and B belonging to L(U,χ) of a given differential...
Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries