On the decoupling of one class of multivariable systems
On the equivalence conditions of two-stage and direct identification methods
On the extension of Rosenbrock's theory in algebraic design on multivariable controllers.
System similarity and system strict equivalence concepts from Rosenbrock's theory on linear systems are used to establish algebraic conditions of model matching as well as an algebraic method for design of centralized compensators. The ideas seem to be extensible without difficulty to a class of decentralized control.
On the interaction between theory experiments and simulation in developing practical learning control algorithms
Iterative learning control (ILC) develops controllers that iteratively adjust the command to a feedback control system in order to converge to zero tracking error following a specific desired trajectory. Unlike optimal control and other control methods, the iterations are made using the real world in place of a computer model. If desired, the learning process can be conducted both in the time domain during each iteration and in repetitions, making ILC a 2D system. Because ILC iterates with the real...
On the optimal continuous decentralized control of non-linear dynamical multivariable systems about the origin.
This paper deals with the local (around the equilibrium) optimal decentralized control of autonomous multivariable systems of nonlinearities and couplings between subsystems which can be expressed as power series in the state-space are allowed in the formulation. They only affect for the optimal performance integrals in cubic and higher terms in the norm of the initial conditions of the dynamical differential system. The basic hypothesis which is made is that the system is centrally-stabilizable...
On the order reduction of optimal control systems
One possibility of multidimensional control system design
Optimal control for 2-D nonlinear control systems
Necessary conditions for some optimal control problem for a nonlinear 2-D system are considered. These conditions can be obtained in the form of a quasimaximum principle.
Partial decoupling of non-minimum phase systems by constant state feedback
Playing with the regulation zeros in the stabilization of a double inverted pendulum
Pole placement and mixed sensitivity of LTI MIMO systems having controlled outputs different from measurements
Multi-Input Multi-Output (MIMO) Linear Time-Invariant (LTI) controllable and observable systems where the controller has access to some plant outputs but not others are considered. Analytical expressions of coprime factorizations of a given plant, a solution of the Diophantine equation and the two free parameters of a two-degrees of freedom (2DOF) controller based on observer stabilizing control are presented solving a pole placement problem, a mixed sensitivity criterion, and a reference tracking...
Pole placement for generalized MFD's
Polynomial approach to pole placement in MIMO systems
Polynomial design of deadbeat control laws
Polynomial systems theory applied to the analysis and design of multidimensional systems
The use of a principal ideal domain structure for the analysis and design of multidimensional systems is discussed. As a first step it is shown that a lattice structure can be introduced for IO-relations generated by polynomial matrices in a signal space X (an Abelian group). It is assumed that the matrices take values in a polynomial ring F[p] where F is a field such that F[p] is a commutative subring of the ring of endomorphisms of X. After that it is analysed when a given F[p] acting on X can...
Reachability and minimum energy control of positive 2D systems with delays
Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs
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.
Real-time parameter estimation and output prediction for ARMA-type system models
Remarks on the theory of implicit linear continuous-time systems
Robust stabilization of discrete linear repetitive processes with switched dynamics
Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched...