This paper presents error minimizing linear regulator (EMLR) for discrete-time, time invariant linear systems. The control objective is tracking of reference signal and rejection of disturbances. EMLR design is based on minimization of a quadratic cost function using canonical form of plant model. The proposed control scheme is based on analytical solution applicable for arbitrary initial conditions. In addition, the control design does not require formulation of Linear Matrix Inequalities and Riccati equations, which are otherwise typical requirements of regulators. Stability analysis of the closed loop system using EMLR is presented along with simulation results for regulation of discretized model of underactuated fourth-order ball and beam system.
BalandinaDVKoganbMM (2009) Revisited LQ output-feedback control: Minimax controller for a set of initial states. International Journal of Control82(11): 2051–2058.
2.
CaoJRakkiyappanRMaheswariKChandrasekarA (2016) Exponential H∞ filtering analysis for discrete-time switched neural networks with random delays using sojourn probabilities. Science China Technological Sciences59(3): 387–402.
3.
DavisonEJ (1973) The feed forward control of linear multivariable time invariant systems. Automatica9(5): 561–573.
4.
DavisonEJScherzingerBM (1987) Perfect control of the robust servo mechanism problem. IEEE Transitions on Automatic Control32(8): 689–702.
5.
FahadMMMalikMBMunawarK (2011) Sampled-data state feedback stabilization of a class of nonlinear systems based on Euler approximation. Asian Journal of Control13(1): 186–197.
6.
FahadMMMalikMBMunawarK (2013) Discretization error bounds for sampled-data control of nonlinear systems. Arabian Journal of Science and Engineering38(12): 3429–3435.
7.
FrancisBA (1977) The linear multivariable regulator problem. SIAM Journal on Control Optimization15(3): 486–505.
8.
FrancisBAWonhamWM (1975) The internal model principle for linear multivariable regulators. Applied Mathematics and Optimization2(2): 170–194.
9.
FrancisBAWonhamWM (1976) The internal model principle of control theory. Automatica12(5): 457–465.
10.
JiaYHuoL (2015) Linear optimal controller based on time delay models. In: IEEE Advanced Information Technology, Electronic and Automation Control Conference, Chongqing, China, 19–21 December, pp. 640–643.
11.
LawrenceDAMedinaEA (2001) Output regulation for linear systems with sampled measurements. In: American Control Conference, Arlington, VA, 25–27 June, pp. 2044–2049.
12.
LinZSaberiASannutiPShamashY (1998) Direct method of constructing H2-suboptimal controllers: Continuous-time systems. Journal of Optimization Theory and Applications99(3): 585–686.
13.
LindquistAYakubovichVA (1999) Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. IEEE Transitions on Automatic Control44(9): 1688–1704.
14.
MasoudKGKhajehoddinSAJainPAlirezaB (2011) Linear quadratic output tracking and disturbance rejection. International Journal of Control84(8): 1442–1449.
15.
MitaTXinXAndersonBDO (2000) Extended H∞ control with unstable weights. Automatica36(5): 735–741.
16.
MuwahidaLMalikMB (2012) Discrete-time output regulation on sample-data systems. International Journal Computer Theory and Engineering4(5): 735–739.
17.
MuwahidaLMalikMBFahadMM (2014) Output regulation for linear sampled data systems using a realizable reconstruction filter. Arabian Journal of Science and Engineering39(5): 3895–3905.
18.
NiazMRehanMMalikFM. (2014) A novel anti-wind up frame work for cascade control systems: An application to under actuated mechanical systems. ISA Transactions53(3): 802–815.
RahatAMalikMBSalmanM (2013) Emulation design based linear quadratic regulation. In: IEEE 24th International Conference on Information, Communication and Automation Technologies, Sarajevo, Bosnia and Herzegovina, 30 November–2 December 2013.
21.
RahatAMalikMBSalmanMFahadMM (2014) Application of sampled data LQR control scheme for grid tie inverter. In: IEEE 23rd International Symposium on Industrial Electronics, Istanbul, Turkey, 1–3 June, pp. 64–68.
22.
RughWJ (1996) Linear Systems Theory. 2nd edn.Englewood Cliffs, NJ: Prentice Hall.
SaberiAStoorvogelASannutiP (1999) Output Regulation and Control Problems with Regulation Constraints. 1st edn.Germany: Springer-Verlag.
25.
SaberiAStoorvogelASannutiPShiG (2000) On optimal output regulation for linear systems-state feedback. In: American Control Conference, Chicago, USA, 28–30 June, pp. 2428–2432.
26.
SaberiAStoorvogelASannutiPShiG (2003) On optimal output regulation for linear systems. International Journal of Control76(4): 319–333.
27.
TerraMHCerriJPIshiharaJY (2014) Optimal robust linear quadratic regulator for systems subject to uncertainties. IEEE Transactions on Automatic Control59(9): 2586–2591.
28.
UllahSMuwahidaL (2015) Optimal output regulation on sample-data systems. In: IEEE International Conference on Control, Electronics, Renewable Energy and Communications, pp. 79–84.
