Robust Tracking Controller Design for a Class of Block Lower‐Triangular Systems

Abstract

A class of multi-input multi-output (MIMO) block lower-triangular systems are considered with the dynamic and static uncertainties related to the states of the former subsystems. A design procedure of robust tracking controller is presented, which avoids the problem of the "explosion of complexity" and can be implemented very simply. The closed-loop system possesses robust properties that, 1) all signals involved are semi-global uniformly ultimately bounded for bounded differentiable reference inputs; 2) for given initial tracking errors and uncertainty boundary, controller parameters can be found to guarantee that the tracking errors can be smaller than a specific positive constant after a limited time. Two numerical instances are given at last.

Nonlinear control strategies with maximum power point tracking for hybrid renewable energy conversion systems

“…The crucial aspect of designing a sliding mode control is selecting a control law that guarantees the existence and achievability of the sliding surface defined by u 2 along subsystem trajectories. To ensure that the control error z 2 converges to zero, the equivalent control u 2eq can be selected using (14):…”

“…For example, Anantwar et al [7] designed a PI regulator for HRES based on linear approximation. Additionally, more sophisticated nonlinear controllers, such as backstepping control and sliding mode control, have been employed in previous works [8][9][10][11][12][13][14]. However, these studies have primarily focused on control design and have not addressed enhancements to the electrical structure of HRES.…”

Robust tracking design for uncertain MIMO systems using proportional–integral controller of order v

“…A number of publications on this topic are available (e.g. [1][2][3][4][5][6][7]), including recent ones [8][9][10][11][12][13][14][15][16][17][18][19][20]. However, the following practical limitations still remain in effect: (a) the considered classes of systems are often of particular structure; (b) the considered reference signals and disturbances almost always have standard waveforms (polynomial and/or sinusoidal ones); (c) the controllers are not robust enough and/or do not applicable to systems satisfying more than one specification; (d) the control inputs are excessive and/or unfeasible in some cases [1][2][3][4][5][6][7][8][9][10][11][21][22][23][24][25][26][27][28].…”