1. Investigation of geometric conditions and definition of algorithmic procedures for the synthesis of compensators achieving perfect rejection of either inaccessible or measurable signals, with stability of the compensated system, in switched linear systems, in linear parameter varying (LPV) systems, and in hybrid systems; extension to the investigation of model matching problems.
2. Performance optimization algorithms for fault tolerant distributed model predictive control in large scale systems with application to the benzene alkylation process.
3. Geometric methods for invariant zero cancellation in discrete-time and continuous-time linear multivariable systems with possible feedthrough terms from the inputs to the outputs. Application to signal rejection with preview.
4. Synthesis of an autonomous system, based on characterization of recorded data sequences, for detection of valve stiction in control loops of industrial processes.
5. Investigation of geometric conditions and definition of algorithmic procedures for the synthesis of compensators achieving perfect elimination of regulation transients, with stability of the control loop, in switched linear systems and in hybrid systems subject to periodic state jumps.
6. Investigation of geometric conditions and definition of algorithmic procedures for the synthesis of feedback regulators with internal model in linear time-delay systems, by means of geometric and linear-algebra techniques applied to systems with coefficients in a ring of polynomials.
7. Investigation of algebraic and/or geometric conditions and definition of algorithmic procedures for the synthesis of unknown-state, unknown-input reconstructors in discrete-time linear nonminimum-phase systems.
8. Investigation of geometric conditions and synthesis of control schemes for perfect elimination of regulation transients in switching linear multivariable systems with preview of the switching signal.
9. Development of nonrecursive solutions to finite-horizon linear quadratic optimal control problems for stabilizable systems, on the basis of the Hamiltonian system structural invariant subspaces: the continuous-time case and the discrete-time case.
10. Synthesis of finite-dimensional dynamic units and/or finite impulse response systems for H2 optimal rejection and/or tracking of either measurable or previewed signals in stabilizable systems: the continuous-time case and the discrete-time case.
11. Synthesis of control schemes for l2 optimization of regulation transients in switching linear multivariable systems with preview of the switching signal.
12. Synthesis of finite-dimensional dynamic units for perfect decoupling of measurable signals, based on geometric properties of self-bounded controlled invariant subspaces.
13. Synthesis of finite-dimensional dynamic units and/or finite impulse response systems for perfect decoupling of previewed signals, based on geometric properties of self-bounded controlled invariant subspaces.
14. Synthesis of output dynamic feedback regulators for model following in nonminimum-phase nonleftinvertible linear multivariable systems: the continuous-time case and the discrete-time case.
15. Synthesis of finite impulse response systems for optimal solutions of noninteracting control problems and, respectively, of dual problems of fault diagnosis, with applications to health monitoring of electric switch machines for railway points.
16. Synthesis of finite-dimensional dynamic units and/or finite impulse response systems for perfect solution of finite-horizon noninteracting control problems and, respectively, of dual problems of fault diagnosis.
17. Pseudoinverse-based computational algorithms for the solution of discrete-time, finite-horizon, linear quadratic optimal control problems with fixed or constrained final state.
18. Synthesis of feedforward compensators for noncausal inversion of nonminimum-phase discrete-time linear multivariable systems.
19. Solution of discrete-time, infinite-horizon, linear quadratic optimal control problems by means of computational algorithms exploiting the Hamiltonian system geometric properties.
20. Investigation of geometric conditions and definition of an algorithmic procedure for the synthesis of measurement dynamic feedback compensators achieving H2-optimal disturbance rejection in continuous-time strictly-proper linear systems.
21. Study of polynomial techniques for modelling and modifying the motion curves of robotic, human and virtual (or simulated) characters, with the aim of improving the way human beings and robots perform complex tasks.
22. Study of a control scheme for narrow-bandwidth active suspensions for high-performance road vehicles.
