Stochastic discrete higher order sliding mode control
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Cites background from "Stochastic discrete higher order sl..."
...2 Switching control design To compensate the uncertainty in the system, the switching control part us(k) is designed to be us(k) = −αsgn[s̄(k)], (31) where α is a design parameter....
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...30 On considering the equivalent control (30), the switching control (31), and disturbance estimation technique given in the work of Sharma and Janardhanan,30 the combined control law is obtained to be u(k) = − ( c̄B̄2 )−1c̄Ā21x̄(k) − (c̄B̄2)−1c̄Ā22ξ(k) − αsgn(s̄(k)) − (c̄B̄2)−1c̄ ̂̄ d2(k), (32) where ̂̄ d2 is the estimate of d̄2....
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Cites background from "Stochastic discrete higher order sl..."
...DHOSM control for stochastic systems in the presence of noise is designed in [29]....
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References
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"Stochastic discrete higher order sl..." refers background in this paper
...The continuous higher order sliding mode can successfully remove the chattering in the control input [9]–[12]....
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2,714 citations
"Stochastic discrete higher order sl..." refers background in this paper
...Here, r is known as sliding order [25] and Bd is a constant....
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2,647 citations
1,428 citations
"Stochastic discrete higher order sl..." refers background in this paper
...But, because of finite switching frequency, discrete sliding function can not move on the sliding manifold and exhibits the chattering [7], [8]....
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250 citations
"Stochastic discrete higher order sl..." refers background in this paper
...Therefore, discrete-time sliding mode (DSM) controller has received increased attention [1]–[5]....
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