Discrete-Time Two-Stage Feedback Controller Design
In this chapter the two-stage feedback controller design for linear discrete-time control systems is presented by following the results of Radisavljevic-Gajic (2015a), Sect. 3.1. The design algorithm is specialized and simplified for linear systems with slow and fast modes, known as singularly perturbed linear discrete-time systems. Since there are two formulations of discrete-time singularly perturbed systems, the results are presented for both of them as discussed in Radisavljevic-Gajic (2015a, b), Sects. 3.2 and 3.3. The conditions needed for applicability of the presented two-stage design in two time scales are established. The proposed two-stage feedback controller design procedure and its very high accuracy were demonstrated on the eigenvalue assignment problem and the mixed linear-quadratic optimal controller/eigenvalue assignment controller problem for the steam power system, hydropower system, and proton exchange membrane fuel cell.
- Chen T (2012) Linear system theory and design. Oxford University Press, Oxford, UKGoogle Scholar
- Golub G, Van Loan C (2012) Matrix computations. Academic PressGoogle Scholar
- Ogata K (1995) Discrete-time control systems. Prentice Hall, Englewood CliffsGoogle Scholar
- Radisavljevic-Gajic V (2015a) A simplified two-stage design of linear discrete-time feedback controllers. ASME J Dyn Syst Meas Control 138:014506-1–014506-7Google Scholar
- Radisavljevic-Gajic V (2015b) Two-stage feedback design for a class of linear discrete-time systems with slow and fast variables. ASME J Dyn Syst Meas Control 138:086502–086507Google Scholar
- Wang M-S, Li T-H, Sun Y-Y (1996) Design of near-optimal observer-based controllers for singularly perturbed discrete systems. JSME Int J Ser C Dyn Control Robot Design Manuf 39:234–241Google Scholar