Higher Accuracy Output Feedback Sliding Mode Control of Sampled-Data Systems

Abstract

Abstract-The problem of output feedback sliding mode control for sampled-data systems in the presence of external disturbances is considered. The proposed output feedback control strategy helps obtain a quasi sliding mode with an O(T 3 ) boundary layer, where T is the sampling period. This outperforms the O(T 2 ) result induced by the one-step delayed disturbance approximation method. The proposed scheme is applicable to linear systems which are relative degree one and minimum phase. An example is given to illustrate the efficacy of the new method.

Observer design for sampled-data systems with unknown inputs and uncertainties based on quasi sliding motion

“…Then arguing as in [18], the error dynamics in (37) implies e 1 [k + 1] − e 1 [k] = O(T s ), and hence, from (44), (45), (46)…”

“…Since the eigenvalues of A 11 = A 11 +LA 21 lie in the left hand side of the complex plane [2], there exists a small enough T s such that the eigenvalues of Φ 11 lie in the unit circle (for details, see the arguments in [18]…”

Improving control effort in output feedback sliding mode control of sampled‐data systems

“…In this note, we aim to address the output feedback sliding mode control problem for linear sampled‐data multi‐input–multi‐output systems in the presence of external disturbances. Some papers in the literature proposed several output feedback sliding mode control methods for sampled‐data systems in [10–14]. The methods in [10, 13] were only proposed for single‐input–single‐output systems, which limit their applications.…”

“…Similarly, a minimum variance control scheme in [15] was presented where a quasi‐sliding mode with accuracy was achieved for single‐input–single‐output systems. In [12, 14, 16], output feedback sliding mode control schemes were proposed for multi‐input–multi‐output systems to achieve quasi‐sliding motion with boundary layers of and , respectively. However, the control signals in [12, 14, 16] are of order , which can be detrimental to system hardware such as actuators during transients or in the presence of disturbances.…”

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

“…The coexistence of sudden system structure change, high frequency data sampling [21], unknown model nonlinearity [22,23] and actuator faults in practical system makes it important to deal with the fault-tolerant control problems of the systems mentioned above, which motivates our work. In this paper, we simultaneously consider model nonlinearity and obtain the expected adaptive fault-tolerant control method for the delta operator system.…”